Article
Physics, Fluids & Plasmas
T. Koide
Summary: In this study, we develop a systematic expansion method for the solution of the Fokker-Planck equation and obtain an alternative formula for the mean work in systems with degeneracy in the eigenvalues. By investigating the thermodynamic properties of symmetric and asymmetric deformation processes of a potential, we find that the critical time characterized by the relaxation time of the Fokker-Planck equation maximizes the difference between the two processes.
Article
Physics, Fluids & Plasmas
Upendra Harbola
Summary: Motivated by recent interest in stochastic resetting of a random walker, a generalized model is proposed in which the walker takes stochastic jumps of lengths proportional to its current position with certain probability. The model reveals rich stochastic dynamic behavior and a phase transition from a diffusive to a superdiffusive regime if the jumps of lengths that are twice (or more) of its current positions are allowed. This phase transition is accompanied by a reentrant diffusive behavior.
Article
Physics, Fluids & Plasmas
Tadeusz Kosztolowicz, Aldona Dutkiewicz
Summary: This study investigates particle transport in a one-dimensional system with a thin membrane, examining how boundary conditions at the membrane affect the temporal evolution of particle position distribution. The choice of appropriate boundary conditions can generate moments characteristic for subdiffusion. The process is interpreted based on a particle random walk model where subdiffusion results from anomalously long stays of the particle in the membrane.
Article
Optics
Clara Magnin, Laurene Quenot, Sylvain Bohic, Dan Mihai Cenda, Manuel Fernandez Martinez, Blandine Lantz, Bertrand Faure, Emmanuel Brun
Summary: This Letter demonstrates a simple, fast, and robust method for performing phase-contrast, dark-field, and directional dark-field imaging on a low-coherence laboratory system equipped with a conventional x ray tube.
Article
Engineering, Multidisciplinary
Armin Tabandeh, Neetesh Sharma, Leandro Iannacone, Paolo Gardoni
Summary: This paper presents a novel numerical method based on physics-based mixture models for solving the transient and steady-state solutions of the Fokker-Planck equation. The unknown parameters of the mixture model are estimated using Bayesian inference with constraints on model parameters. An importance sampling algorithm is developed to reduce computational demand. The performance of the proposed method is demonstrated with benchmark problems.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mathematics, Interdisciplinary Applications
Artem Alexandrov
Summary: We study synchronization in the Kuramoto model with noise on a star graph. We derive a closed-form self-consistency equation for the conventional order parameter by modifying the case of a complete graph and extend it to a star graph. Using this equation, we demonstrate the existence of a crossover between abrupt synchronization at low noise and continuous phase transition at high noise. We investigate this crossover numerically and analytically.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Applied
Moon-Jin Kang, Javier Morales
Summary: This paper studies a spatially homogeneous Kolmogorov-Vicsek model in two dimensions, which describes the alignment dynamics of self-driven stochastic particles moving on a plane at a constant speed under space-homogeneity. The authors prove the existence of global weak solutions for this two-dimensional model, but due to the failure of the Bakery and Emery condition for the logarithmic Sobolev inequality, no time-asymptotic behavior is obtained for the two-dimensional case. Using a new condition for the logarithmic Sobolev inequality, they demonstrate exponential convergence (with a quantitative rate) of the weak solutions towards a Fisher-von Mises distribution.
ANALYSIS AND APPLICATIONS
(2023)
Article
Physics, Multidisciplinary
Lorenzo Caprini, Umberto Marini Bettolo Marconi, Rene Wittmann, Hartmut Loewen
Summary: This paper investigates the effects of a nonuniform motility landscape and an external confining field on the properties of active particles. The active Ornstein-Uhlenbeck particle (AOUP) model is used to derive analytical approximations for the steady-state probability distribution of position and velocity. The results show that the interplay of these two physical fields can generate complex emerging behavior.
Article
Physics, Fluids & Plasmas
M. Pfeiffer, F. Garmirian, M. H. Gorji
Summary: Despite the significant disparity of collisional and macroscopic spatiotemporal scales, this study presents a novel numerical scheme for particle advection and collision treatment. The scheme offers attractive features for particle-based stochastic simulations and can be readily implemented to existing direct simulation Monte Carlo codes.
Article
Telecommunications
Lokendra Chouhan, Prabhat Kumar Upadhyay
Summary: This letter presents an analysis of a molecular communication (MC) system considering the time-dependent drift and diffusion of molecules. The proportionality in diffusion and drift is taken into account, and the general solution for Fokker-Planck (FP) equation is provided using the method of images. Two different functional forms of the time-dependent drift and diffusion, namely power-law time dependence and periodic driver, are used to analyze the MC system. The expressions for cumulative distribution function (CDF), also known as first passage probability (FPP), corresponding to the first passage time density function (FPTDF) are derived. Moreover, the expressions for pulse-peak time and pulse peak of FPTDF are obtained. The impacts of time-dependent drift and diffusion are further examined in terms of average bit-error-rate (BER). Monte-Carlo and particle-based simulations (PBS) have also been conducted to validate the feasibility of the analytical models used.
IEEE COMMUNICATIONS LETTERS
(2022)
Article
Physics, Fluids & Plasmas
Louis Jose, Scott D. Baalrud
Summary: This study investigates the friction force experienced by a massive test charge in a strongly magnetized one-component plasma, showcasing novel transport properties using a generalized Boltzmann kinetic theory. It reveals that strong magnetization leads to additional transverse components in the friction force, impacting the trajectory of the test charge significantly. The theory shows good agreement with recent molecular dynamics simulations and presents new insights into the effects of strong magnetization on plasma dynamics.
PHYSICS OF PLASMAS
(2021)
Article
Physics, Multidisciplinary
Chang Jiang, Chao Dong, Ding Li
Summary: Rutherford scattering is important in plasma transport, but the influence of magnetic field on it is still not well understood. In this study, we investigate electron-ion collisions transverse to a magnetic field and find that the scattering angle can be significantly influenced by the magnetic field. These results are important for interpreting experimental and theoretical results.
CHINESE PHYSICS LETTERS
(2022)
Article
Physics, Multidisciplinary
Guitian He, Guoji Tang, Maokang Luo, Yan Tian, H. Eugene Stanley
Summary: In this study, three models for the motion of charged particles in three-dimensional semiconductors driven by a magnetic field and intrinsic fractional Gaussian noise were introduced. The average position, velocity, complex susceptibilities, spectral amplification, and stationary current density were derived. It was found that fractional noise can induce cyclotron resonance and stochastic dynamics in charged particles. Additionally, variances and the generalized Fokker-Planck equation for non-Markovian dynamics were also investigated.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Physics, Multidisciplinary
J. Matrasulov, K. Sabirov
Summary: This paper considers the Fokker-Planck equation on metric graphs and imposes boundary conditions on vertices in the form of weight continuity and probability current conservation. The exact solutions of the Fokker-Planck equation on star, tree, and loop graphs are obtained, and the applications of the model to Brownian motion in networks and other problems are briefly discussed.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Physics, Fluids & Plasmas
Konstantinos Mamis, Mohammad Farazmand
Summary: The study focuses on rare transitions induced by colored noise excitation in multistable systems and proposes a simple time-delay feedback control to mitigate undesirable transitions through judicious selection of control parameters. A new nonlinear Fokker-Planck equation and a rapidly convergent iterative algorithm are used to devise a parsimonious method for selecting optimal control parameters without the need for Monte Carlo simulations. The framework accurately predicts and suppresses modal drift and tail inflation in the controlled stationary distribution, demonstrated on examples including an optical laser model perturbed by multiplicative colored noise.
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Mathematics, Applied
Julian Hofrichter, Tat Dat Tran, Juergen Jost
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Biology
Omri Tal, Tat Dat Tran, Jacobus Portegies
JOURNAL OF THEORETICAL BIOLOGY
(2017)
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Luu Hoang Duc, Tat Dat Tran, Juergen Jost
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Tat Dat Tran, Julian Hofrichter, Juergen Jost
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Nguyen Van Minh, Tran Tat Dat
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