Article
Chemistry, Physical
Honghe Nong, Abdulnasser Mahmood Fatah, S. A. Shehzad, T. Ambreen, Mahmoud M. Selim, Ahmad B. Albadarin
Summary: The research demonstrates steady-state magnetized nanofluid flow under radiative wavy cavity, modeling the porosity term using non-Darcy's theory. The working nanofluid is based on water-Al2O3 nano-powder with 4% concentration, and numerical modeling is estimated via CVFE technique. Results show that increasing media porosity leads to fluid advection decay and conduction dominates over convection in the process.
JOURNAL OF MOLECULAR LIQUIDS
(2021)
Article
Thermodynamics
Zahir Shah, M. Sheikholeslami, Ikramullah, Poom Kumam
Summary: The hydrothermal behavior of hybrid nanomaterial migration from a perforated and wavy container is analyzed, taking into account the impacts of buoyancy, Lorentz forces, and medium porosity on fluid motion. The study shows that increasing buoyancy and medium porosity enhance convective flow, while increasing Lorentz forces decreases convective flow strength and raises fluid temperature. The results also demonstrate the dependence of entropy generation on various parameters and derive analytical relations for average Nusselt and Bejan numbers.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2021)
Article
Thermodynamics
Seyyed Masoud Seyyedi, Mehdi Hashemi-Tilehnoee, Elena Palomo del Barrio, Abdul Sattar Dogonchi, Seyyed Mostafa Ghadami, Mohsen Sharifpur
Summary: This study numerically investigates the heat transfer of electro-hydrodynamic natural convection in an enclosure with a wavy hot wall using Al2O3-water nanofluid as the working fluid. The effects of operational parameters on the stream function and the average Nusselt number are studied, and two new parameters are defined to evaluate the contribution of the electrical field and radiation effects on the fluid flow. The results show that Nuave increases by 7.95% when f increases from 0 to 0.05 at Ra=10^5; |?(max)| and Nuave increase by 27.6% and 37.2%, respectively, when ? goes up from 0 to 0.5 at R-d=1.0; |?(max)| and Nuave decrease by 48.7% and 27.1%, respectively, with decreasing the amplitude parameter (a(n)) from 0.1 to 0.3 at Ra=10^5.
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS
(2023)
Article
Engineering, Mechanical
Houman Babazadeh, A. Zeeshan, Kavikumar Jacob, Ahmad Hajizadeh, M. M. Bhatti
Summary: The computational modelling for nanoparticle migration in a permeable space considers factors such as shape factor and radiation. The use of CVFEM demonstrates the impacts of magnetic forces on nanomaterial behavior. By utilizing the Darcy model, researchers can predict the behavior of porous media and understand how factors like buoyancy and magnetic fields affect convective and conductive modes.
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY-TRANSACTIONS OF MECHANICAL ENGINEERING
(2021)
Article
Mathematics
Vellaboyina Nagendramma, Putta Durgaprasad, Narsu Sivakumar, Battina Madhusudhana Rao, Chakravarthula Siva Krishnam Raju, Nehad Ali Shah, Se-Jin Yook
Summary: This analysis investigates the flow of incompressible triple diffusive fluid on a linear stretched surface, considering the effects of Boussinesq approximation and MHD. Lie-group transformation and Runge-Kutta shooting technique are used to solve the transformed system of ordinary differential equations. The results show that the magnetic parameter decelerates the velocity distribution, and the buoyancy ratio parameter has a similar effect on salt concentration distribution. Furthermore, increasing Lewis number decreases the influence of heat and mass transfer rates.
Article
Physics, Applied
Mohammed N. Ajour, Muhyaddin J. H. Rawa, Ahmad H. Milyani, Meicheng Li
Summary: In order to improve convective flow, this study primarily used techniques including curved surfaces and a strong magnetic force. The main pillars of current research are gravity forces, ferrofluid concentrations, and Kelvin force. Additionally, the use of nanopowders increases conduction features and facilitates the movement of nanofluid.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Article
Thermodynamics
Fanghua Li, Feroz Ahmed Soomro, Junaid Imtiaz
Summary: The study investigates the free convection of hybrid nanomaterials through a permeable region, considering the effects of porosity, radiation, and different shapes of nanoparticles. Nonlinear partial differential equations and numerical modeling are used to analyze the impact of Darcy number, magnetic force, and other forces on the behavior of nanomaterials. Results show an increase in Nusselt number due to radiation, while a decrease is observed with higher Hartmann number and porosity effect.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2021)
Article
Engineering, Environmental
Xiaohui Mao, Jinglin Tan, Lei Xie, Jingyi Wang, Hongbo Zeng
Summary: This study presents a novel functional slippery solid surface fabricated through the self-assembly of a non-fluorine small molecule, without the need for complex surface structures and lubricant oils. The surface allows for easy transport of air bubbles, water drops, and self-assembly of nanoparticles.
CHEMICAL ENGINEERING JOURNAL
(2021)
Article
Nanoscience & Nanotechnology
Hamdi Ayed
Summary: This research investigates the enhancement of free convection of ferrofluid inside a container by involving a magnetic wire near the inner wall. The study finds that Kelvin force and buoyancy force cause a decrease in the temperature of the inner wall, and variable magnetic strength transforms the main eddy into two eddies. Additionally, the fraction of ferrofluid also affects the phenomenon.
APPLIED NANOSCIENCE
(2022)
Article
Multidisciplinary Sciences
Muhammad Bilal Riaz, Aziz Ur Rehman, Adam Wojciechowski, Abdon Atangana
Summary: This study examines the analytical solutions of the double diffusive magneto free convective flow of the Oldroyd-B fluid model on an inclined plate saturated in a porous media, either fixed or moving oscillated with slanted externally magnetic field. The governing equations are transformed into non-dimensional form to describe the phenomenon. Special functions, such as Mittag-Leffler functions and G-function, are used to obtain exact solutions for the fluid velocity, concentration, and temperature. The impacts of different velocity components on fluid dynamics are analyzed, and the physical significance of various fluidic parameters on the velocity, concentration, and temperature distributions are demonstrated through graphs.
SCIENTIFIC REPORTS
(2023)
Article
Mechanics
Sanaz Marefati, Majid Ghassemi, Vahid Ghazizadeh
Summary: This paper presents a 3D numerical study on the motion of microparticles suspended in a liquid-filled microchannel using a combination of standing and traveling waves. The results show that there is a balance between the flow rate and the particle diameter to achieve the highest concentration percentage. Additionally, adjusting the design of the acoustofluidic device, such as increasing the height or length of the actuated region, can enhance the concentration of microparticles. Furthermore, increasing the viscosity of the fluid can result in a stronger acoustic streaming effect.
Article
Optics
Gerard Gouesbet, V. S. De Angelis, Leonardo Andre Ambrosio
Summary: This study extends the previous research on optical forces exerted on Rayleigh particles to the case of small magnetodielectric particles. It introduces a partition between gradient, scattering, and non-standard forces and emphasizes the relationship between these non-standard forces and curl forces in the framework of a dipole theory.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
(2022)
Review
Optics
Gerard Gouesbet, V. S. De Angelis, Leonardo Andre Ambrosio
Summary: In this study, the categorization of optical forces in generalized Lorenz-Mie theory is systematically examined. The focus is on the forces exerted on quadrupoles and their explicit expressions in terms of beam shape coefficients and Mie coefficients. The categorization is done at three levels, distinguishing between mixing forces and recoil forces, and between gradient and non-gradient forces. A third level is proposed to further decompose the so-called scattering forces into scattering forces and non-standard forces.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
(2023)
Article
Thermodynamics
Zahir Shah, Ikramullah, Poom Kumam, Mahmoud M. Selim, Ahmed Alshehri
Summary: This study examines the hydrothermal features of nanofluid motion through a porous enclosure in the presence of an ambient magnetic field environment. The effects of nanoparticles shape and radiations on Darcy nanofluid flow are investigated, with results showing enhancements in convective thermal energy transportation under certain conditions. The study further explores the impact of magnetic force strength, radiation parameter, nanoparticles shape factor, and buoyancy on the nanofluid migration behavior.
CASE STUDIES IN THERMAL ENGINEERING
(2021)
Article
Chemistry, Physical
Ivan Santamaria-Holek, Agustin Perez-Madrid
Summary: Using an innovative approach based on Planck's law, this study explores the common origin of the repulsive Casimir thermal pressure and heat exchange in nanogaps. By employing a scale transformation, the researchers demonstrate the validity of Planck's law in describing confined thermal radiation properties in nanoscale gaps. Analytical expressions for the Casimir thermal pressure and heat conductance are derived and compared with experimental data, showing remarkable agreement.
NANOSCALE HORIZONS
(2022)
Article
Automation & Control Systems
S. Rajeswari, C. Sugapriya, D. Nagarajan, J. Kavikumar
Summary: This study discusses the use of the EOQ model to handle situations with substandard products, advance payment on acquiring cost, and misclassification errors under repair options in a fuzzy environment. Two models are presented, with the first model involving advance payments and the second model involving price rebates on prepaid quantities. The study considers the proportion of substandard products and errors in misclassification as pentagonal fuzzy numbers.
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
(2022)
Article
Mathematics, Applied
S. Sharan, B. K. Sharma, Kavikumar Jacob
Summary: This paper introduces and studies the concept of interval type-2 (IT2) fuzzy grammar for recognizing given IT2 fuzzy languages, discussing its relationship with IT2 fuzzy automata and IT2 fuzzy (weak) regular grammars. The results show that IT2 fuzzy weak regular grammar and IT2 fuzzy regular grammar generate the same classes of IT2 fuzzy languages, and there exists a correspondence between IT2 fuzzy regular grammars and IT2 fuzzy automata. Additionally, operations on IT2 fuzzy languages are defined and shown to be closed under union, intersection, concatenation, and Kleene closure, but not under complement.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
(2022)
Article
Mathematics, Applied
Ahmad Haji Zadeh, Kavikumar Jacob, Nehad Ali Shah, Jae Dong Chung
Summary: In this article, the analytical results of fractional-order Jaulent-Miodek equations were analyzed using two novel methods, namely, the rho-Laplace decomposition method and the rho-Laplace variational iteration method. The achieved results were presented in a series form, which rapidly converges. Approximate simulations were performed using absolute error to ensure the accuracy and reliability of the suggested methods. The obtained results were graphically presented to confirm the validity and accuracy of the techniques. The study reveals that the rho-Laplace decomposition method is computationally efficient and accurate compared to the rho-Laplace variational iteration method for analyzing the nonlinear system of fractional-order Jaulent-Miodek equations.
JOURNAL OF FUNCTION SPACES
(2022)
Article
Chemistry, Multidisciplinary
Tran Dinh Manh, Thanh Liem Huynh, Bui Viet Thi, Sunhwa Lee, Junsin Yi, Nam Nguyen Dang
Summary: Sonneratia caseolaris leaf extract was found to improve the corrosion resistance of steel in hydrochloric acid environments by forming a barrier layer through adsorption. The inhibition effectiveness was independent of the extract concentration and corrosive environment. The presence of electronegative functional groups in the extract promoted the adsorption process for the self-formation of the barrier layer.
Article
Materials Science, Multidisciplinary
Bui Xuan Vuong, Thanh Liem Huynh, Thao Quynh Ngan Tran, S. V. Prabhakar Vattikuti, Tran Dinh Manh, Phuong Nguyen-Tri, Anh Tien Nguyen, Pham Van Hien, Nam Nguyen Dang
Summary: This study demonstrates the potential of an organic film applied on a metallic surface as a low-cost, low-toxicity solution for electrochemical corrosion resistance. The inhibitory effect of Malpighia glabra leaf extract (MGLE) on mild steel corrosion in hydrochloric acid (HCl) media was investigated. The results showed that MGLE had a good inhibitory effect on steel corrosion, especially in more aggressive solutions. Surface analysis revealed the formation of a protective film on the inhibited steel surfaces, reducing corrosion.
MATERIALS TODAY COMMUNICATIONS
(2022)
Article
Mathematics
S. H. Elhag, Abid A. Memon, Bilawal A. Bhayo, Kaleemullah Bhatti, M. Asif Memon, Kavikumar Jacob, Fatimah S. Bayones, Jamel Seidu
Summary: This paper investigates the flow of Newtonian and non-Newtonian fluids with different blockage ratios in a rectangular channel, using a numerical solution of the generalized non-Newtonian power law model and the energy equation. The simulation results show the maximum and minimum pressure, temperature along the center line of the cylinder, and local Nusselt number.
JOURNAL OF MATHEMATICS
(2022)
Article
Engineering, Multidisciplinary
V. Kuppulakshmi, C. Sugapriya, J. Kavikumar, D. Nagarajan
Summary: This paper investigates a fuzzy economic manufacturing model (FEMM) for an inventory model with an imperfect production process and rework. The accumulation of unsold products during the pandemic has increased maintenance costs. The study compares a special sale of products with discount and without discount prices in both fuzzy and crisp environments, using new computing methods based on fuzzy logic.
MATHEMATICAL PROBLEMS IN ENGINEERING
(2023)
Review
Computer Science, Artificial Intelligence
Isaudin Ismail, Fatin Noor Najihah Abd Mutalip, Kavikumar Jacob
Summary: The Copula concept has been widely used in various applications, especially in finance. This study examines the development of Copula from its basic form to more advanced forms through previous research. Various types of Copula are identified, each exhibiting unique characteristics within the Elliptical and Archimedean Copula families. The findings highlight the vital role of Copula in solving problems related to statistical dependence measures and joint marginal distribution functions.
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
(2023)
Article
Multidisciplinary Sciences
D. Nagarajan, A. Kanchana, Kavikumar Jacob, Nasreen Kausar, Seyyed Ahmad Edalatpanah, Mohd Asif Shah
Summary: Neutrosophic multicriteria is a decision-making method that combines several criteria or elements using indeterminacy to find a solution, even with incomplete or ambiguous information. It enables the assessment of qualitative and subjective aspects, resolving conflicting goals and preferences. This study examines the use of single value neutrosophic triangular and trapezoidal numbers to capture uncertainty and aggregate preferences in Neutrosophic Multi-Attribute Group Decision Making (NMAGDM) problems.
SCIENTIFIC REPORTS
(2023)
Article
Thermodynamics
M. Asif Memon, Muhammad Sabeel Khan, S. Saleem, S. M. Eldin, Kavikumar Jacob
Summary: This study numerically analyzes the heat transfer through a higher grade Forchheimer porous CuO-H2O-nano-medium in an unsteady MHD porous flow. The flow governing equations are solved using finite difference and finite element methods, and simulations are performed for various parameters of interest. The results show that the larger porosity of the nanomedium leads to larger skin friction, the plate's temperature increases with the Forchhiemer number, and the hydrodynamic velocities decrease as the porosity increases.
CASE STUDIES IN THERMAL ENGINEERING
(2023)
Article
Computer Science, Artificial Intelligence
Mallika Dhingra, Mahesh Kumar Dubey, Jacob Kavikumar
Summary: This research investigates the determinization and minimization problems of a new class of fuzzy recognizers with input as multisets. It introduces and examines the concepts of L-fuzzy multiset recognizers (LLMRs) and characterizes them with multiset regular languages (MRLs). It also proposes a method for constructing an equivalent deterministic L-fuzzy multiset recognizer (DLMR) from a given LLMR using fuzzy subsets and accessible fuzzy subset construction.
IEEE TRANSACTIONS ON EMERGING TOPICS IN COMPUTATIONAL INTELLIGENCE
(2023)
Article
Thermodynamics
Muhammad Asif Memon, Kavikumar Jacob, Hazoor Bux Lanjwani, Umair Khan, El-Sayed M. Sherif, Ioan Pop
Summary: This article investigates the heat transfer characteristics of magnetohydrodynamics water-base silver and iron oxide hybrid nanomaterials flow in a Darcy-Forchheimer porous medium induced by a stretching/shrinking surface. The results show that there are two solutions for the stretching/shrinking parameter, with the first solution being stable and physically acceptable and the second one being unstable and physically infeasible. Moreover, the skin friction and heat transfer are affected by the mass transfer parameter and the volume fraction of solid nanoparticles.
ADVANCES IN MECHANICAL ENGINEERING
(2023)
Article
Engineering, Mechanical
Nagarajan Deivanayagampillai, Kavikuma Jacob, Gobinath Vellapalayam Manohar, Said Broumi
Summary: Industry 5.0 acceptance is accelerating, but research is still in its infancy. This study aims to enumerate and rank potential obstacles, and assess interdependencies for Industry 5.0 adoption using a multi-criteria decision-making approach. The findings highlight expenses and funding system, capacity scalability, and upskilling and reskilling of human labor as the most significant hurdles.
FACTA UNIVERSITATIS-SERIES MECHANICAL ENGINEERING
(2023)
Article
Computer Science, Artificial Intelligence
A. Kanchana, D. Nagarajan, Kavikumar Jacob
Summary: This study proposes a consistency and consensus-based approach for handling group decision-making using neutrosophic multiplicative preference relations (NMPRs) and interval neutrosophic multiplicative preference relations (INMPRs). It defines consistency and consensus indices to determine acceptable levels of consistency and agreement. The approach is built on single-valued and interval-valued neutrosophic sets and includes programming approaches to address inconsistency and ensure consistency and consensus in the decision-making process.
EXPERT SYSTEMS WITH APPLICATIONS
(2024)
Article
Food Science & Technology
Le Si Ngoc, Pham Thi Ha Van, Tran Thi Yen Nhi, Nguyen Anh Dung, Tran Dinh Manh
Summary: This research assessed the effects of dipping time on the quality of sweet oranges. The results showed that a 6-minute dipping time can maintain the quality of oranges, including improving skin color, increasing total soluble solids, fruit firmness, ascorbic acid, and taste scores, while reducing weight loss, decay incidence, ethylene production, and respiration rate.
FOOD SCIENCE AND TECHNOLOGY
(2022)
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)
