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Diffusion of colloidal particles in a complex environment such as polymer networks or biological cells is a topic of high complexity with significant biological and medical relevance. In such situations, the interaction between the…

统计力学 · 物理学 2015-11-10 Andreas M. Menzel

We study three classes of continuous time Markov processes (inclusion process, exclusion process, independent walkers) and a family of interacting diffusions (Brownian energy process). For each model we define a boundary driven process…

数学物理 · 物理学 2015-06-12 Gioia Carinci , Cristian Giardina' , Claudio Giberti , Frank Redig

We calculate exactly the velocity and diffusion constant of a microscopic stochastic model of $N$ evolving particles which can be described by a noisy traveling wave equation with a noise of order $N^{-1/2}$. Our model can be viewed as the…

无序系统与神经网络 · 物理学 2009-11-10 Eric Brunet , Bernard Derrida

We define a characteristic energy density based on the measurement of the two first moments of the extrinsic injected power smoothed over time. Using the stationarity, we show that this definition characterizes an energy per degrees freedom…

统计力学 · 物理学 2018-07-06 Sebastien Aumaitre , Antoine Naert

In this work, we refine the Bohr model of the hydrogen atom by describing the motion of the electron through a single real-valued stochastic process, effectively realizing Brownian motion under the Born rule. Our approach derives the…

量子物理 · 物理学 2025-02-25 Vasil Yordanov

Langevin equations for the self-thermophoretic dynamics of Janus motors partially coated with an absorbing layer that is heated by a radiation field are presented. The derivation of these equations is based on fluctuating hydrodynamics and…

统计力学 · 物理学 2019-07-24 Pierre Gaspard , Raymond Kapral

We study motion of a phase transition front at a constant temperature between stable and metastable states in fluids with the universal Van der Waals equation of state (which is valid sufficiently close to the fluid's critical point). We…

斑图形成与孤子 · 物理学 2009-10-31 Osamu Inomoto , Shoichi Kai , Boris Malomed

We consider the behaviour of branching-selection particle systems in the large population limit. The dynamics of these systems is the combination of the following three components: (a) Motion: particles move on the real line according to a…

概率论 · 数学 2023-11-22 Jean Bérard , Brieuc Frénais

Overdamped Brownian motion of a self-propelled particle is studied by solving the Langevin equation analytically. On top of translational and rotational diffusion, in the context of the presented model, the "active" particle is driven along…

软凝聚态物质 · 物理学 2013-05-15 Borge ten Hagen , Sven van Teeffelen , Hartmut Löwen

We propose a generalization of stochastic thermodynamics to systems of active particles, which move under the combined influence of stochastic internal self-propulsions (activity) and a heat bath. The main idea is to consider joint…

软凝聚态物质 · 物理学 2019-11-20 Grzegorz Szamel

In the realm of statistical mechanics, it has been established that there is no distinction between the micro-canonical and canonical ensembles in the thermodynamic limit. However, this paradigm may alter when addressing statistical…

统计力学 · 物理学 2023-11-21 Jinwu Ye

We derive statistical-mechanical speed limits on dissipation from the classical, chaotic dynamics of many-particle systems. In one, the rate of irreversible entropy production in the environment is the maximum speed of a deterministic…

统计力学 · 物理学 2024-06-19 Swetamber Das , Jason R. Green

This paper presents a molecular dynamics simulation of an inelastic gas, where collisions between molecules are characterized by a coefficient of restitution less than unity. The simulation employs an event-driven algorithm to efficiently…

计算物理 · 物理学 2025-02-03 Rameez Farooq Shah , Shikha Kumari , Syed Rashid Ahmad

We study the motion of a heavy tracer particle weakly coupled to a dense interacting Bose gas exhibiting Bose-Einstein condensation. In the so-called mean-field limit, the dynamics of this system approaches one determined by nonlinear…

数学物理 · 物理学 2013-02-07 Juerg Froehlich , Zhou Gang

We study the motion of a Brownian particle subjected to Lorentz force due to an external magnetic field. Each spatial degree of freedom of the particle is coupled to a different thermostat. We show that the magnetic field results in…

We present a new time-dependent Density Functional approach to study the relaxational dynamics of an assembly of interacting particles subject to thermal noise. Starting from the Langevin stochastic equations of motion for the velocities of…

统计力学 · 物理学 2016-08-31 Umberto Marini Bettolo Marconi , Pedro Tarazona

The Boltzmann kinetic equation is obtained from an integro-differential master equation that describes a stochastic dynamics in phase space of an isolated thermodynamic system. The stochastic evolution yields a generation of entropy,…

统计力学 · 物理学 2019-06-05 Mário J. de Oliveira

The evolution of entropy is derived with respect to dynamical systems. For a stochastic system, its relative entropy $D$ evolves in accordance with the second law of thermodynamics; its absolute entropy $H$ may also be so, provided that the…

混沌动力学 · 物理学 2010-08-31 X. San Liang

By studying a system of Brownian particles, interacting only through a local social-like force (velocity alignment), we show that self-propulsion is not a necessary feature for the flocking transition to take place as long as underdamped…

统计力学 · 物理学 2015-07-31 Victor Dossetti , Francisco J. Sevilla

We study the dynamics of a carrier, which performs a biased motion under the influence of an external field E, in an environment which is modeled by dynamic percolation and created by hard-core particles. The particles move randomly on a…

统计力学 · 物理学 2009-10-31 O. Benichou , J. Klafter , M. Moreau , G. Oshanin