Article
Physics, Multidisciplinary
A. S. Parvan, T. Bhattacharyya
Summary: The study found discrepancies between the phenomenological Tsallis distributions derived from the Tsallis statistical mechanical formulation and the standard Tsallis statistics, leading to differences in the single-particle distribution functions in the factorization approximation.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Astronomy & Astrophysics
Everton M. C. Abreu, Jorge Ananias Neto
Summary: This work investigates the effects of three nongaussian entropies, namely, the modified Renyi entropy (MRE), the Sharma-Mittal entropy (SME), and the dual Kaniadakis entropy (DKE), on the violation of the generalized second law (GSL) of thermodynamics. It is found that the GSL may be violated when considering these extended entropies, and the parameters of these entropies need to be constrained to small values to obey the GSL. The study also reveals that for MRE, SME, and DKE, the GSL is not obeyed for small redshift values in the Lambda CDM cosmology.
Article
Physics, Multidisciplinary
Jesus Fuentes, Jorge Goncalves
Summary: Renyi entropy is a relaxation of Shannon entropy that automatically arises as the average rate of change of free energy over an ensemble at different temperatures. By considering distributions for isospectral, non-isothermal processes, relative versions of free energy containing Kullback-Leibler divergence or relative Renyi entropy can be obtained.
Article
Engineering, Mechanical
Nitin B. Burud, J. M. Chandra Kishen
Summary: This study investigates the acoustic emission phenomenon of concrete within the framework of non-extensive statistical mechanics. The research aims to re-derive the distribution function, study the size effect on parameters, and comment on the self-organization phenomenon and criticality near failure in quasi-static loading of concrete beams. The study finds that the power-function based distribution model is superior to the exponential-function based model, and that the entropic index is size-independent.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Physics, Fluids & Plasmas
Jae Dong Noh
Summary: We investigate the eigenstate thermalization properties of the spin-1/2 XXZ model in two-dimensional rectangular lattices. The numerical analysis supports that the model follows the eigenstate thermalization hypothesis, and this hypothesis is still valid within each subspace where the total spin is a good quantum number.
Article
Physics, Fluids & Plasmas
Felix Fritzsch, Tomaz Prosen
Summary: The study investigates the distribution of matrix elements for a class of operators in dual-unitary quantum circuits, providing an exact asymptotic expression for the spectral function and confirming excellent agreement with results obtained by exact diagonalization. Furthermore, fluctuations at finite system size are explicitly related to dynamical correlations at intermediate times, while numerical computation of higher moments of the matrix elements confirms the expected Gaussian distribution.
Article
Quantum Science & Technology
Anna Vershynina
Summary: We investigate the coherence of relative entropy and find that good coherence measures can be defined using Tsallis or Renyi entropy when measured. However, Tsallis entropy does not generate a genuine coherence monotone unless under very restrictive operations. Additionally, we provide a continuity estimate for Renyi coherence and present two coherence measures based on the closest incoherent state measured by Tsallis or Renyi relative entropy.
QUANTUM INFORMATION PROCESSING
(2023)
Article
Mechanics
Derek Frydel
Summary: The study investigates extensions of the run-and-tumble particle model in 1D, finding that expanding the model to three drifts leads to complexity. Therefore, the researchers modified their goal and considered a version of the model with an arbitrary distribution of states, analyzing the system through self-consistent relations and Laplace transform techniques.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Chemistry, Physical
Javier Varillas, Giovanni Ciccotti, Jorge Alcala, Lamberto Rondoni
Summary: Mathematical relations concerning particle systems require applicability conditions. The Jarzynski equality, a mechanical theory, shows surprising generality in determining free-energy variations for non-equilibrium processes. However, it can be process-dependent and its verification may be challenging.
JOURNAL OF CHEMICAL PHYSICS
(2022)
Article
Engineering, Environmental
Jyotirmoy Barman, Mrinal Roy, Bimlesh Kumar
Summary: The study focuses on the estimation of velocity distribution in compound channels with varying bank slopes, using the Tsallis and Renyi entropy-based model. The model maximizes both entropies with certain restrictions and derived Lagrange multipliers and parameter G. Experimental data from laboratory measurements were used to evaluate the velocity distributions and compared with the predictions by the entropy methods. Results show accurate velocity profiles in floodplain and main channel domains, while less accuracy is observed near slopes due to nonuniform cross-section and secondary currents. This entropy-based velocity estimation allows for a better understanding of flow in compound channels, with potential future inclusion of vegetation in field circumstances.
STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT
(2023)
Article
Optics
Mark T. Mitchison, Archak Purkayastha, Marlon Brenes, Alessandro Silva, John Goold
Summary: This study proposes a scheme to measure the temperature of pure states through quantum interference, showing that even individual pure quantum states can have temperatures in completely isolated quantum systems.
Article
Physics, Multidisciplinary
A. S. Parvan
Summary: This study examines the probability distributions of different statistical methods in the canonical ensemble, showing that the distributions of Tsallis-1 and Tsallis-3 statistics are invariant under energy spectrum translations, consistent with the principles of equilibrium statistical mechanics. However, the probability distribution of Tsallis-2 statistics does not exhibit the expected invariance under overall energy shifts, indicating a deviation from the normalization condition of probabilities.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Physics, Multidisciplinary
Bertrand Evrard, An Qu, Jean Dalibard, Fabrice Gerbier
Summary: The dynamics of a many-body system can exhibit various behaviors, from reversible evolution to thermalization. The linear energy spectrum and undamped oscillations of many-body observables occur when the system can be described by a Bogoliubov analysis, while nonlinearity leads to irreversibility. Chaotic dynamics and thermalization emerge when the integrability of the Hamiltonian is broken, in agreement with the eigenstate thermalization hypothesis paradigm.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
J. J. Riccardo, E. E. Vogel, P. M. Pasinetti, J. L. Riccardo, A. J. Ramirez -Pastor
Summary: The thermodynamics of straight k-mers gas on the square lattice is studied by analyzing its relation to state exclusion statistics. The study introduces a new analytical approximation and performs a detailed Monte Carlo analysis. The spatial correlation between particle states is described using exclusion spectrum functions and is related to the thermodynamic potentials. An effective lattice analytical approximation is introduced and applied to dimers (k = 2) and trimers (k = 3). Simple closed analytical expressions for the coverage dependence of state exclusion probabilities and chemical potential are obtained. Remarkable agreement with fast relaxation Monte Carlo simulations is already found for the lowest degree of approximation.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2023)
Article
Physics, Multidisciplinary
G. Kaniadakis
Summary: Studies have shown that the Lorentz transformation mechanism may lead to a generalization or deformation of ordinary statistical mechanics, with the exponential function properly deformed in this formalism. By introducing the kappa-deformed exponential function, new classes of statistical distributions can be generated for analyzing statistical data with power-law tails.
Article
Physics, Nuclear
A. S. Parvan, O. V. Teryaev, J. Cleymans
EUROPEAN PHYSICAL JOURNAL A
(2017)
Article
Physics, Nuclear
A. S. Parvan
EUROPEAN PHYSICAL JOURNAL A
(2017)
Article
Physics, Multidisciplinary
A. S. Parvan
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2018)
Article
Physics, Multidisciplinary
D. Anghel, A. S. Parvan
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2018)
Article
Physics, Multidisciplinary
A. S. Parvan
Article
Physics, Nuclear
T. Bhattacharyya, J. Cleymans, S. Mogliacci, A. S. Parvan, A. S. Sorin, O. V. Teryaev
EUROPEAN PHYSICAL JOURNAL A
(2018)
Article
Physics, Nuclear
A. S. Parvan, T. Bhattacharyya
EUROPEAN PHYSICAL JOURNAL A
(2020)
Article
Physics, Nuclear
A. S. Parvan
EUROPEAN PHYSICAL JOURNAL A
(2020)
Article
Physics, Nuclear
A. S. Parvan
EUROPEAN PHYSICAL JOURNAL A
(2020)
Article
Physics, Nuclear
Trambak Bhattacharyya, Alexandru S. Parvan
Summary: Analytical expressions for the first and second order terms in the hadronic transverse momentum spectra derived from Tsallis-1 statistics were obtained. The study revisited the zeroth order quantum Tsallis distributions and found that phenomenological distributions used in literature do not resemble the analytical closed forms of the zeroth order quantum spectra after the q -> q(-1) substitution. The results suggest that the zeroth order Tsallis quantum distributions derived in this paper might be a better choice than their phenomenological counterparts based on the basic formulations of statistical mechanics.
EUROPEAN PHYSICAL JOURNAL A
(2021)
Article
Physics, Multidisciplinary
A. S. Parvan, T. Bhattacharyya
Summary: The study found discrepancies between the phenomenological Tsallis distributions derived from the Tsallis statistical mechanical formulation and the standard Tsallis statistics, leading to differences in the single-particle distribution functions in the factorization approximation.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Multidisciplinary
A. S. Parvan
Summary: This study examines the probability distributions of different statistical methods in the canonical ensemble, showing that the distributions of Tsallis-1 and Tsallis-3 statistics are invariant under energy spectrum translations, consistent with the principles of equilibrium statistical mechanics. However, the probability distribution of Tsallis-2 statistics does not exhibit the expected invariance under overall energy shifts, indicating a deviation from the normalization condition of probabilities.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Proceedings Paper
Quantum Science & Technology
A. S. Parvan
XXIV INTERNATIONAL BALDIN SEMINAR ON HIGH ENERGY PHYSICS PROBLEMS: RELATIVISTIC NUCLEAR PHYSICS AND QUANTUM CHROMODYNAMICS (BALDIN ISHEPP XXIV)
(2019)
Proceedings Paper
Physics, Nuclear
A. S. Parvan
XXIII INTERNATIONAL BALDIN SEMINAR ON HIGH ENERGY PHYSICS PROBLEMS RELATIVISTIC NUCLEAR PHYSICS AND QUANTUM CHROMODYNAMICS (BALDIN ISHEPP XXIII)
(2017)
Proceedings Paper
Physics, Multidisciplinary
J. Cleymans, M. D. Azmi, A. S. Parvan, O. V. Teryaev
XIITH QUARK CONFINEMENT AND THE HADRON SPECTRUM
(2017)
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)
