Article
Multidisciplinary Sciences
Yu-Pei Lv, Ebrahem A. Algehyne, Maryam G. Alshehri, Ebraheem Alzahrani, Muhammad Bilal, Muhammad Altaf Khan, Muhammad Shuaib
Summary: The article investigates the impact of Hall current, thermal radiation, and magnetic field on hybrid nanofluid flow over a spinning disk surface, utilizing carbon nanotubes and iron ferrite nanoparticles in the base fluid and solving the modeled equations through the Parametric Continuation method. Results indicate that adding CNTs in the carrier fluid is more effective than other nanoparticle types, leading to enhanced heat transmission rates for engineering and industrial applications. The study provides insights into improving heat transmission rates and advancing the use of hybrid nanofluids for various purposes.
SCIENTIFIC REPORTS
(2021)
Article
Thermodynamics
Saif Ur Rehman, Amna Mariam, Asmat Ullah, Muhammad Imran Asjad, Mohd Yazid Bajuri, Bruno A. Pansera, Ali Ahmadian
Summary: This study investigates the impact of buoyancy parameters and radiation on MHD micro-polar nano-fluid flow over a stretching/shrinking sheet. The results show that changing parameters can have varying effects on velocity, temperature, micro-rotation, and concentration profiles. The findings are presented and discussed through tables and graphs.
CASE STUDIES IN THERMAL ENGINEERING
(2021)
Article
Thermodynamics
Amar B. Patil, Vishwambhar S. Patil, Pooja P. Humane, Shamshuddin Md, Govind R. Rajput
Summary: This study investigates the magnetohydrodynamics of reactive hybrid nanofluid flow using the Prandtl fluid model. The study focuses on the physical characteristics of the flow past a linear stretching device, including the novel effects of viscous dissipation, Joule heating, chemical reaction, thermal radiation, and double diffusion. Multiple slip conditions are considered in formulating the governing equations, which are then transformed into a set of nonlinear ordinary differential equations using similarity invariants. Numerical simulations are conducted using the Runge-Kutta fourth-order method with a shooting scheme, and the results are illustrated through MATLAB. Code validation is achieved through comparative analysis with recent publications. It is observed that the applied magnetic field retards fluid motion and increases the thermal boundary regime, while dissipation and radiation effects enhance the thermal boundary control.
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS
(2023)
Article
Chemistry, Multidisciplinary
Jianfeng Wang, Zead Mustafa, Imran Siddique, Muhammad Ajmal, Mohammed M. M. Jaradat, Saif Ur Rehman, Bagh Ali, Hafiz Muhammad Ali
Summary: The two-dimensional boundary layer flow of a Prandtl nanofluid over an inclined stretching/shrinking sheet in a non-Darcy permeable medium under an aligned magnetic field was numerically studied. The effects of immersed parameters on the flow properties were presented through figures and tables, and the variations of some physical parameters were demonstrated.
Article
Thermodynamics
M. D. Shamshuddin, F. Mabood, Govind R. Rajput, O. Anwar Beg, I. A. Badruddin
Summary: A theoretical study is conducted on the coupled thermo-solutal free convection boundary layer flow of a magnetized fluid from an exponentially stretched magnetic sensor surface. The effects of heat generation/absorption, thermal radiation, thermophoretic body force, and thermal and solutal stratification are included. The derived equations are transformed into ordinary differential equations and solved numerically using the RKF method. Graphical profiles, including streamline and isotherm plots, are used to examine the impacts of physically parameterics on the flow features. The results show the depletion in temperature and accumulation in magnetization and thermal stratification parameters, as well as the enhancement of concatenation profiles with increasing mixed convection and plate width parameters.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2022)
Article
Engineering, Mechanical
Amar B. Patil, Nalini S. Patil, Vishwambhar S. Patil, Pooja P. Humane, Govind R. Rajput
Summary: Researchers explored non-Newtonian fluids by formulating a mathematical model considering magnetic, thermal radiation, and double diffusion effects. Numerical investigation was conducted using the Runge-Kutta method, and the graphical interpretation of results demonstrated the effects of physical parameters on the flow situation.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART E-JOURNAL OF PROCESS MECHANICAL ENGINEERING
(2023)
Article
Thermodynamics
B. Nagaraja, B. J. Gireesha
Summary: The study focuses on the impact of exponential space-dependent heat source on Casson fluid flow with MHD over a curved stretching sheet, considering chemical reaction and convective heat and mass flux boundary conditions. By reducing the governing equations to ordinary differential equations using similarity transformations, the numerical technique of Runge-Kutta-Fehlberg method is employed for solution. The results show that curvature parameter influences velocity and concentration profiles positively, while temperature profile shows an inverse relation. Additionally, changes in Casson parameter significantly affect all flow profiles, and thermal and concentration Biot numbers impact temperature and concentration profiles, respectively.
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
(2021)
Article
Computer Science, Interdisciplinary Applications
Ahmed M. Megahed, M. Gnaneswara Reddy, W. Abbas
Summary: This study investigates the laminar flow and heat transfer of MHD fluid on an unsteady stretching sheet with extended heat flux, where viscosity and thermal conductivity vary with temperature. The system of coupled nonlinear ordinary differential equations governing the problem is solved using a shooting method combined with the Runge-Kutta algorithm. The numerical results show good agreement with existing literature and provide detailed insights into the effects of different governing parameters on the velocity and temperature profiles.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Thermodynamics
M. Adil Sadiq
Summary: This paper examines the heat transfer in thin film flow on an unsteady stretch plate of nanofluids. By using similarity transformations and the homotopy analysis method, the study calculates the nonlinear differential equations and presents numerical results on the temperature profile and boundary layer thickness. The volume fraction of nanoparticles plays a significant role in improving the temperature profile, and the film thickness parameter decreases with increasing nanoparticle fraction and unsteadiness parameter.
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
(2021)
Article
Thermodynamics
Torikul Islam, M. Ferdows, MD. Shamshuddin, Marei Saeed Alqarni, Usman
Summary: This study investigates the time-independent boundary layer flow and heat transmission of Sisko fluid subjected to convective boundary conditions. The effects of magnetic field, porous medium, thermal conductivity, Joule heating, and radiation are considered. The results show that the material parameter and the Sisko fluid power law index have significant influences on the velocity and temperature distributions. The findings provide valuable insights for individuals involved in designing high-temperature machinery in the industry.
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS
(2023)
Article
Computer Science, Interdisciplinary Applications
Silpi Hazarika, Sahin Ahmed, Ali J. Chamkha
Summary: This article investigates the hydromagnetic flow of three different nanoparticles in a water based nanofluid, focusing on the effects of heat generation and Soret number. The study shows that increasing nanoparticle volume fraction decreases liquid velocity but has no impact on liquid temperature, and different nanoparticles exhibit varying performance in terms of velocity and temperature.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Energy & Fuels
Tahir Naseem, Azeem Shahzad, Muhammad Sohail, Sameh Askar
Summary: This investigation examines the motion of TiO2/H2O nano-structures towards heated and porous sheets with the consideration of MHD effect and partial slip at the boundary. Non-linear PDEs corresponding to the conservation laws are transformed into ODEs using similarity transformation, and the shooting method is employed to solve these transformed ODEs and boundary conditions. The effects of thermophoresis properties on the skin friction coefficient (Cf) and Nusselt number (Nu) are graphically shown and summarized in a table. Comparison and validation of the results with published work are conducted, revealing the impact of thermophysical parameters and nanoparticle geometry on the flow behavior and temperature distribution.
Article
Mathematics
Naif Abdulaziz M. Alkuhayli
Summary: A study is conducted on the hybrid-nanofluid flow induced by the rotation of a circular porous disk to enhance heat transfer rate. The effects of Hall and Ohmic heating as well as heat generation/absorption on flow behavior and heat transfer are investigated. The physical problem is simplified to nonlinear partial differential equations using conservation laws and solved using the Shooting Method. Results show that wall suction significantly affects velocity components, while enhanced Hartman number influences radial and axial velocities. The effects of parametric variations on temperature depend on heat generation/absorption.
Article
Thermodynamics
Usama Habib, Sohaib Abdal, Imran Siddique, Rifaqat Ali
Summary: The main aim of this study is to compare the outcomes of mass and thermal transportation for different fluid models on an extending surface, focusing on the effects of double diffusion and applied magnetic field. The results indicate that micropolar fluid had the highest velocity, followed by Newtonian, Williamson, and Maxwell fluids. This research sheds light on the potential applications of non-Newtonian nanofluids in heat transfer processes like heat exchangers.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2021)
Article
Engineering, Multidisciplinary
Nadeem Abbas, Maryam Tumreen, Wasfi Shatanawi, Muhammad Qasim, Taqi A. M. Shatnawi
Summary: The three-dimensional flow of non-Newtonian fluid over a slendering stretching sheet considering radiative and chemical reaction effects is studied. The Buongiorno model is used to analyze the fluid flow region, while a numerical scheme in Matlab is employed to solve the governing model. The results show that higher values of heat generation improves the temperature curves, and radiation and heat source enhance the temperature of the fluid.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Multidisciplinary Sciences
Muhammad Awais, Muhammad Shoaib, Muhammad Asif Zahoor Raja, Saba Arif, Muhammad Yousaf Malik, Kottakkaran Sooppy Nisar, Khadiga Ahmed Ismail
Summary: This study presents an analysis of peristaltic motion and entropy generation of a coupled stress nanofluid with applied magnetic field in an endoscope. The results demonstrate the variations of flow profiles and entropy generation number with different flow parameters.
SCIENTIFIC REPORTS
(2022)
Article
Mathematics, Applied
Mubbashar Nazeer, Farooq Hussain, M. Ijaz Khan, Asad-ur-Rehman, Essam Roshdy El-Zahar, Yu-Ming Chu, M. Y. Malik
Summary: This article investigates the electro-osmotic flow of non-Newtonian fluid in a micro-channel. Perturbation method is used to obtain the approximate analytical solution and pseudo-spectral collocation method is used to calculate the error in the solution. The study reveals the impact of various parameters on velocity and heat profiles, providing insights for understanding the behavior of non-Newtonian fluid in microchannels.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Nanoscience & Nanotechnology
Zeeshan Khan, Ilyas Khan, N. Ameer Ahammad, D. Baba Basha, Mulugeta Andualem
Summary: This study aims to investigate the impact of nanomaterials on the heat and mass transfer mechanisms in wire coating analysis. By establishing governing equations and using numerical methods, the effects of input parameters on motion, temperature, and volume fraction are examined. The findings show that nanomaterials have a positive impact on wire force and shear forces at the surface, non-Newtonian parameters can increase polymer velocity, random motion and nonlinear thermal affect the temperature profile, and Brownian motion increases concentration profile while thermophoresis factor decreases it.
JOURNAL OF NANOMATERIALS
(2022)
Article
Nanoscience & Nanotechnology
Hazoor Bux Lanjwani, Muhammad Saleem Chandio, M. Imran Anwar, Amnah S. Al-Johani, Ilyas Khan, Nur Alam
Summary: This paper investigates the effect of steady boundary layer flow on micropolar nanofluid, considering various physical parameters. Numerical solutions are obtained using a shooting method and the stability of the solutions is analyzed. The findings reveal that different parameters have different effects on variables such as velocity, temperature, and concentration.
JOURNAL OF NANOMATERIALS
(2022)
Article
Mathematics, Applied
Yu-Ming Chu, Seemab Bashir, Muhammad Ramzan, Muhammad Yousaf Malik
Summary: This study examines the impact of unsteady viscous flow in a squeezing channel and investigates the flow and heat transfer mechanism of different shapes of silver-gold hybrid nanofluid particles in the base fluid. The numerical solution and parameter analysis reveal that the Yamada-Ota model of the Hybrid nanofluid has a higher temperature and velocity profile, and the performance of hybrid nanoparticles is superior to that of common nanofluids.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Applied
Liaquat Ali Lund, Abderrahim Wakif, Zurni Omar, Ilyas Khan, Isaac Lare Animasaun
Summary: This report investigates the influence of thermal radiation and viscous dissipation on the motion of hybrid nanofluid over a moving surface. The study finds that thermal radiation parameter enhances heat transfer rate and increases temperature, and two solution branches are observed, with the upper branch being stable.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Applied
Safeera Batool, Muhammad Aslam Noor, Riaz Ahmad, Ilyas Khan, Mulugeta Andualem
Summary: This paper studies a new system of variational inequalities called absolute value variational inequalities. It introduces an auxiliary system and proves the existence of solutions using projection technique. Based on the auxiliary principle and the existence result, several new iterative algorithms are proposed and their convergence is analyzed thoroughly. The efficiency and superiority of the proposed schemes are demonstrated through special cases and an illustrative example. The results presented in this paper are more general and recapitulate some previously published findings in this field.
JOURNAL OF FUNCTION SPACES
(2022)
Article
Mathematics
Muhammad Sajid, Apu Chowdhury, Ghulam Bary, Yin Guoliang, Riaz Ahmad, Ilyas Khan, Waqar Ahmed, Muhammad Farooq Saleem Khan, Aisha M. M. Alqahtani, Md. Nur Alam
Summary: Conversion of fructose to furan aldehydes is an important concept, with 5-hydroxymethyl furfural and levulinic acid being key bio-precursors that require complex production optimization processes.
JOURNAL OF MATHEMATICS
(2022)
Article
Physics, Multidisciplinary
Muhammad Zafarullah, Ilyas Khan, Aneesa, Najeeb Alam Khan
Summary: The aim of this research is to investigate the behavior of the fractionalized Oldroyd-B fluid with the influence of MHD effect, enclosed by two endless uniaxial circular cylinders, using Laplace transform with Antangano Baleanu fractional operator and finite Hankel transform. Both cylinders are moving together about their same axis, with the inner and outer cylinders starting from a resting state and having rotational and translational time-dependent velocities. Analytical solutions for flow rate and tangential stress are obtained using integral and series patterns in the form of the generalized function M, which satisfy all imposed boundary conditions. Comparable solutions for ordinary Oldroyd-B, Maxwell, second grade, and Newtonian fluids can be easily achieved as special cases of the generalized results. The graphical illustration provides predictions on the impact of relaxation time and non-integer order fractional material on fluid flow, as well as comparisons between the equations.
WAVES IN RANDOM AND COMPLEX MEDIA
(2023)
Article
Mathematics, Interdisciplinary Applications
Mohd Anul Haq, Ilyas Khan, Ahsan Ahmed, Sayed M. Eldin, Ali Alshehri, Nivin A. Ghamry
Summary: In this paper, a novel Deep Convolutional Neural Network for Brain Tumor (DCNNBT) is proposed for the detection and classification of brain tumors, emphasizing the importance of early diagnosis for effective treatment and improved patient survival rates.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
(2023)
Article
Mathematics, Interdisciplinary Applications
Ghulam Bary, Waqar Ahmed, Riaz Ahmad, Sayed m. Eldin, Ilyas Khan, Duohui Huang
Summary: This paper investigates the influence of temperature and momentum-dependent coherence-chaos radiations on particle excretion from a fluid with quantum supremacy. The study provides a comprehensive analysis of the fluid in the context of quantum interference for partially chaotic systems and presents novel findings on chaos synchronization of identical bosons in the extending source. The results demonstrate the significant impact of coherence on chaotic production and describe the temperature profile and density equations of the fluid.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
(2023)
Article
Mathematics, Interdisciplinary Applications
Amjad Hussain, Adil Jhangeer, Muhammad khubaib Zia, Ilyas Khan, Abdul hamid Ganie, Sayed m. Eldin
Summary: In this study, the nonlinear generalized Camassa-Holm Kadomtsev-Petviashvili equation in (1 + n) dimensions is investigated using Lie theory. Lie point symmetries and conservation laws of the equation are computed, and a wide range of solitonic structures are obtained using an extended algebraic approach.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
(2023)
Article
Mathematics, Interdisciplinary Applications
Ghulam Bary, Waqar Ahmed, Riaz Ahmad, Abha Singh, Sayed M. Eldin, Duohui Huang, Ilyas Khan
Summary: In this paper, the dynamics of quantum correlations in an isolated physical quantum influenced by intrinsic coherence are explored. The amount of coherent-chaotic fractions and specific correlations in the hybrid system are characterized using the granular model and spherical droplets. The effect of coherence on the evolution of these correlations in engineering applications is examined, and the behavior of multiparticle correlations in relation to system parameters and coherence rate is analyzed in detail. The study found that correlations with genuine interferences exhibit slight asymmetry and that genuine correlations are more meaningful than primary interference. Furthermore, the robustness of quantum correlations can be modulated by adjusting coherent rate, source physical properties, and initial conditions.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
(2023)
Article
Engineering, Multidisciplinary
Taza Gul, Sayer Obaid Alharbi, Ilyas Khan, Mohd Shakir Khan, Saleh Alzahrani
Summary: In this study, the stagnation point flow model is used to evaluate the energy transient across the nanofluid through comparative analysis. The slip surface is considered in the momentum equation to assess lubrication. A specific thermophysical model based on thermal conductivity and viscosity, with slip boundary conditions, is used. The modeled equations are processed using the Numerical Runge Kutta (RK-4) procedure, and the accuracy is checked using the control volume finite element method (CVFEM). The results are validated by prior studies and demonstrate a decent level of coherence.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Engineering, Multidisciplinary
Waqas Ali, Farhad Ali, Ata Ur Rahman, Ilyas Khan
Summary: The goal of this paper is to create a novel model for the two-dimensional flow of a second-grade fluid and the transfer of heat due to free convection. The model is developed in fractional form using the Caputo-Fabrizio fractional derivative approach. Exact solutions for fluid velocity and temperature are obtained analytically and simplified in limiting cases. Numerical results demonstrate the significant influence of embedded flow parameters on temperature and velocity profiles.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Physics, Multidisciplinary
Xiaoyu Shi, Jian Zhang, Xia Jiang, Juan Chen, Wei Hao, Bo Wang
Summary: This study presents a novel framework using offline reinforcement learning to improve energy consumption in road transportation. By leveraging real-world human driving trajectories, the proposed method achieves significant improvements in energy consumption. The offline learning approach demonstrates generalizability across different scenarios.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Junhyuk Woo, Soon Ho Kim, Hyeongmo Kim, Kyungreem Han
Summary: Reservoir computing (RC) is a new machine-learning framework that uses an abstract neural network model to process information from complex dynamical systems. This study investigates the neuronal and network dynamics of liquid state machines (LSMs) using numerical simulations and classification tasks. The findings suggest that the computational performance of LSMs is closely related to the dynamic range, with a larger dynamic range resulting in higher performance.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Yuwei Yang, Zhuoxuan Li, Jun Chen, Zhiyuan Liu, Jinde Cao
Summary: This paper proposes an extreme learning machine (ELM) algorithm based on residual correction and Tent chaos sequence (TRELM-DROP) for accurate prediction of traffic flow. The algorithm reduces the impact of randomness in traffic flow through the Tent chaos strategy and residual correction method, and avoids weight optimization using the iterative method. A DROP strategy is introduced to improve the algorithm's ability to predict traffic flow under varying conditions.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Chengwei Dong, Min Yang, Lian Jia, Zirun Li
Summary: This work presents a novel three-dimensional system with multiple types of coexisting attractors, and investigates its dynamics using various methods. The mechanism of chaos emergence is explored, and the periodic orbits in the system are studied using the variational method. A symbolic coding method is successfully established to classify the short cycles. The flexibility and validity of the system are demonstrated through analogous circuit implementation. Various chaos-based applications are also presented to show the system's feasibility.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Viorel Badescu
Summary: This article discusses the maximum work extraction from confined particles energy, considering both reversible and irreversible processes. The results vary for different types of particles and conditions. The concept of exergy cannot be defined for particles that undergo spontaneous creation and annihilation. It is also noted that the Carnot efficiency is not applicable to the conversion of confined thermal radiation into work.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
P. M. Centres, D. J. Perez-Morelo, R. Guzman, L. Reinaudi, M. C. Gimenez
Summary: In this study, a phenomenological investigation of epidemic spread was conducted using a model of agent diffusion over a square region based on the SIR model. Two possible contagion mechanisms were considered, and it was observed that the number of secondary infections produced by an individual during its infectious period depended on various factors.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Zuan Jin, Minghui Ma, Shidong Liang, Hongguang Yao
Summary: This study proposes a differential variable speed limit (DVSL) control strategy considering lane assignment, which sets dynamic speed limits for each lane to attract vehicle lane-changing behaviors before the bottleneck and reduce the impact of traffic capacity drop. Experimental results show that the proposed DVSL control strategy can alleviate traffic congestion and improve efficiency.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Matthew Dicks, Andrew Paskaramoorthy, Tim Gebbie
Summary: In this study, we investigate the learning dynamics of a single reinforcement learning optimal execution trading agent when it interacts with an event-driven agent-based financial market model. The results show that the agents with smaller state spaces converge faster and are able to intuitively learn to trade using spread and volume states. The introduction of the learning agent has a robust impact on the moments of the model, except for the Hurst exponent, which decreases, and it can increase the micro-price volatility as trading volumes increase.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Zhouzhou Yao, Xianyu Wu, Yang Yang, Ning Li
Summary: This paper developed a cooperative lane-changing decision system based on digital technology and indirect reciprocity. By introducing image scoring and a Q-learning based reinforcement learning algorithm, drivers can continuously evaluate gains and adjust their strategies. The study shows that this decision system can improve driver cooperation and traffic efficiency, achieving over 50% cooperation probability under any connected vehicles penetration and traffic density, and reaching 100% cooperation probability under high penetration and medium to high traffic density.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Josephine Nanyondo, Henry Kasumba
Summary: This paper presents a multi-class Aw-Rascle (AR) model with area occupancy expressed in terms of vehicle class proportions. The qualitative properties of the proposed equilibrium velocity and the stability conditions of the model are established. The numerical results show the effect of proportional densities on the flow of vehicle classes, indicating the realism of the proposed model.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Oliver Smirnov
Summary: This study proposes a new method for simultaneously estimating the parameters of the 2D Ising model. The method solves a constrained optimization problem, where the objective function is a pseudo-log-likelihood and the constraint is the Hamiltonian of the external field. Monte Carlo simulations were conducted using models of different shapes and sizes to evaluate the performance of the method with and without the Hamiltonian constraint. The results demonstrate that the proposed estimation method yields lower variance across all model shapes and sizes compared to a simple pseudo-maximum likelihood.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Przemyslaw Chelminiak
Summary: The study investigates the first-passage properties of a non-linear diffusion equation with diffusivity dependent on the concentration/probability density through a power-law relationship. The survival probability and first-passage time distribution are determined based on the power-law exponent, and both exact and approximate expressions are derived, along with their asymptotic representations. The results pertain to diffusing particles that are either freely or harmonically trapped. The mean first-passage time is finite for the harmonically trapped particle, while it is divergent for the freely diffusing particle.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Hidemaro Suwa
Summary: The choice of transition kernel is crucial for the performance of the Markov chain Monte Carlo method. A one-parameter rejection control transition kernel is proposed, and it is shown that the rejection process plays a significant role in determining the sampling efficiency.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Xudong Wang, Yao Chen
Summary: This article investigates the joint influence of expanding medium and constant force on particle diffusion. By starting from the Langevin picture and introducing the effect of external force in two different ways, two models with different force terms are obtained. Detailed analysis and derivation yield the Fokker-Planck equations and moments for the two models. The sustained force behaves as a decoupled force, while the intermittent force changes the diffusion behavior with specific effects depending on the expanding rate of the medium.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
