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We study a class of systems whose dynamics are described by generalized Langevin equations with state-dependent coefficients. We find that in the limit, in which all the characteristic time scales vanish at the same rate, the position…

数学物理 · 物理学 2020-12-16 Soon Hoe Lim , Jan Wehr

We investigate entropy production in the small-mass (or overdamped) limit of Langevin-Kramers dynamics. The results generalize previous works to provide a rigorous derivation that covers systems with magnetic field as well as anisotropic…

数学物理 · 物理学 2018-10-17 Jeremiah Birrell

We discuss the dynamics and thermodynamics of systems with long-range interactions. We contrast the microcanonical description of an isolated Hamiltonian system to the canonical description of a stochastically forced Brownian system. We…

统计力学 · 物理学 2009-11-10 Pierre-Henri Chavanis

We study homogenization for a class of generalized Langevin equations (GLEs) with state-dependent coefficients and exhibiting multiple time scales. In addition to the small mass limit, we focus on homogenization limits, which involve taking…

数学物理 · 物理学 2020-02-20 Soon Hoe Lim , Jan Wehr , Maciej Lewenstein

The nature of diffusion is usually studied for particles or time-evolving systems. Similar in principle, such studies can be conducted by tracking how a given function of observable properties evolves over time-akin to the evolution of…

统计力学 · 物理学 2026-03-10 M. Süzen

We consider optimization of the average entropy production in inhomogeneous temperature environments within the framework of stochastic thermodynamics. For systems modeled by Langevin equations (e.g. a colloidal particle in a heat bath) it…

统计力学 · 物理学 2013-03-14 Stefano Bo , Erik Aurell , Ralf Eichhorn , Antonio Celani

The evolution of infinitesimal, localized perturbations is investigated in a one-dimensional diatomic gas of hard-point particles (HPG) and thereby connected to energy diffusion. As a result, a Levy walk description, which was so far…

统计力学 · 物理学 2009-11-11 P. Cipriani , S. Denisov , A. Politi

In stochastic thermodynamics standard concepts from macroscopic thermodynamics, such as heat, work, and entropy production, are generalized to small fluctuating systems by defining them on a trajectory-wise level. In Langevin systems with…

统计力学 · 物理学 2019-09-04 Stefano Bo , Soon Hoe Lim , Ralf Eichhorn

This paper studies homogenization of stochastic differential systems. The standard example of this phenomenon is the small mass limit of Hamiltonian systems. We consider this case first from the heuristic point of view, stressing the role…

数学物理 · 物理学 2018-08-16 Jeremiah Birrell , Jan Wehr

Response lags are generic to almost any physical system and often play a crucial role in the feedback loops present in artificial nanodevices and biological molecular machines. In this paper, we perform a comprehensive study of small…

统计力学 · 物理学 2015-06-23 M. L. Rosinberg , T. Munakata , G. Tarjus

Any first course on polymer physics teaches that the dynamics of a tagged monomer of a polymer is anomalously subdiffusive, i.e., the mean-square displacement of a tagged monomer increases as $t^\alpha$ for some $\alpha<1$ until the…

软凝聚态物质 · 物理学 2010-06-16 Debabrata Panja

We study the non-equilibrium dynamics of a symmetry restoring phase transition in a scalar field theory, the ``system'', linearly coupled to another scalar field taken as a ``heat bath''. The ``system'' is initially in an ordered low…

高能物理 - 唯象学 · 物理学 2014-11-17 Da-Shin Lee , Daniel Boyanovsky

We show that, on a $d-$dimensional hypercubic lattice with $d>1$, conserved-mass transport processes, with {\it multidirectional} hopping that respect all symmetries of the lattice, exhibit power-law correlations for generic parameter…

统计力学 · 物理学 2025-10-27 Animesh Hazra , Tanmoy Chakraborty , Anirban Mukherjee , Punyabrata Pradhan

The typical values and fluctuations of time-integrated observables of nonequilibrium processes driven in steady states are known to be characterized by large deviation functions, generalizing the entropy and free energy to nonequilibrium…

统计力学 · 物理学 2020-08-04 Daniel Nickelsen , Hugo Touchette

We describe a one-dimensional self-gravitating system derived from the problem of large-scale structure formation in cosmology. Considering small times so that the expansion can be neglected we present a thermodynamical analysis of this…

天体物理学 · 物理学 2009-11-11 Patrick Valageas

This paper is the second in a series devoted to the study of Langevin systems subjected to a continuous time-delayed feedback control. The goal of our previous paper [Phys. Rev. E 91, 042114 (2015)] was to derive second-law-like…

统计力学 · 物理学 2017-03-01 M. L. Rosinberg , G. Tarjus , T. Munakata

Inspired by problems in biochemical kinetics, we study statistical properties of an overdamped Langevin process whose friction coefficient depends on the state of a similar, unobserved process. Integrating out the latter, we derive the long…

统计力学 · 物理学 2009-08-13 Golan Bel , Ilya Nemenman

The standard {\em system-plus-reservoir} approach used in the study of dissipative systems can be meaningfully generalized to a dissipative coupling involving the momentum, instead of the coordinate: the corresponding equation of motion…

统计力学 · 物理学 2009-11-07 Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

We derive a bound on generalized currents for Langevin systems in terms of the total entropy production in the system and its environment. For overdamped dynamics, any generalized current is bounded by the total rate of entropy production.…

统计力学 · 物理学 2018-06-06 Andreas Dechant , Shin-ichi Sasa

We study the dynamics of long-wavelength fluctuations in one-dimensional (1D) many-particle systems as described by self-consistent mode-coupling theory. The corresponding nonlinear integro-differential equations for the relevant…

统计力学 · 物理学 2015-06-25 Luca Delfini , Stefano Lepri , Roberto Livi , Antonio Politi
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