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Fluctuation relations establish rigorous identities for the nonequilibrium averages of observables. Starting from a general transport master equation with time-dependent rates, we employ the stochastic path integral approach to study…

Statistical Mechanics · Physics 2010-10-21 A. Altland , A. De Martino , R. Egger , B. Narozhny

Conditions on the generator of a Markov process to control the fluctuations of its bridges are found. In particular, continuous time random walks on graphs and gradient diffusions are considered. Under these conditions, a concentration of…

Probability · Mathematics 2016-03-08 Giovanni Conforti

We calculate the bulk-diffusion coefficient and the conductivity in a broad class of conserved-mass aggregation processes on a ring of discrete sites. These processes involve chipping and fragmentation of masses, which diffuse around and…

Statistical Mechanics · Physics 2021-05-12 Subhadip Chakraborti , Tanmoy Chakraborty , Arghya Das , Rahul Dandekar , Punyabrata Pradhan

The recently developed effective field theory of fluctuations around thermal equilibrium is used to compute late-time correlation functions of conserved densities. Specializing to systems with a single conservation law, we find that the…

High Energy Physics - Theory · Physics 2019-12-24 Xinyi Chen-Lin , Luca V. Delacrétaz , Sean A. Hartnoll

An instationary drift-diffusion system for the electron, hole, and oxygen vacancy densities, coupled to the Poisson equation for the electric potential, is analyzed in a bounded domain with mixed Dirichlet-Neumann boundary conditions. The…

Analysis of PDEs · Mathematics 2024-09-06 Maxime Herda , Ansgar Jüngel , Stefan Portisch

The influence of dissipation on the fluctuation statistics of the total energy is investigated through both a phenomenological and a stochastic model for dissipative energy-transfer through a cascade of states. In equilibrium the states…

Statistical Mechanics · Physics 2013-06-27 Eric Bertin , Peter C. W. Holdsworth

In this Letter, we clarify the physical origin of effective transport in periodic and tilted periodic systems. When Brownian dynamics is examined on the scale of a single period, the particle displacement admits a natural separation into a…

Statistical Mechanics · Physics 2026-01-27 Sang Yang , Zhixin Peng

We study fluctuations in diffusion-limited reaction systems driven out of their stationary state. Using a numerically exact method, we investigate fluctuation ratios in various systems which differ by their level of violation of microscopic…

Statistical Mechanics · Physics 2009-11-13 Sven Dorosz , Michel Pleimling

We develop a theory of fluctuation-driven phenomena in thermal transport in graphene double-layers. We work in the regime of electron hydrodynamics and focus on the double charge neutrality point. Although at the neutrality point charge…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Alex Levchenko , Songci Li , A. V. Andreev

We investigate the statistics of fluctuations in a classical stochastic network of nodes joined by connectors. The nodes carry generalized charge that may be randomly transferred from one node to another. Our goal is to find the time…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Andrew N. Jordan , Eugene V. Sukhorukov , Sebastian Pilgram

We consider a reversal of the magnetic moment of a nano-magnet by the fluctuating spin-torque induced by a non-equilibrium current of electron spins. This is an example of the problem of the escape of a particle from a metastable state…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Yasuhiro Utsumi , Tomohiro Taniguchi

The theory of current transport in a narrow superconducting channel accounting for thermal fluctuations is developed. These fluctuations result in the appearance of small but finite dissipation in the sample. The value of corresponding…

Superconductivity · Physics 2009-10-15 Yu. N. Ovchinnikov , A. A. Varlamov

We discuss the transient and steady state fluctuation relation for a mechanical system in contact with two deterministic thermostats at different temperatures. The system is a modified Lorentz gas in which the fixed scatterers exchange…

Statistical Mechanics · Physics 2011-09-08 Carlos Mejia-Monasterio , Lamberto Rondoni

Understanding transport processes in complex nanoscale systems, like ionic conductivities in nanofluidic devices or heat conduction in low dimensional solids, poses the problem of examining fluctuations of currents within nonequilibrium…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 David T. Limmer , Chloe Y. Gao , Anthony R. Poggioli

We revisit the theory of dissipative mechanics in RLC circuits, allowing for circuit elements to have nonlinear constitutive relations, and for the circuit to have arbitrary topology. We systematically generalize the dissipationless…

Statistical Mechanics · Physics 2025-04-29 Andrew Osborne , Andrew Lucas

We study the phenomena of noise induced transport in frictional ratchet systems. For this we consider a Brownian particle moving in a space dependent frictional medium in the presence of external white noise fluctuations. To get the…

Statistical Mechanics · Physics 2009-07-13 Raishma Krishnan , Debasis Dan , A. M. Jayannavar

Stochasticity is a defining feature of the pairwise forces governing interactions in biological systems-from molecular motors to cell-cell adhesion-yet its consequences on large-scale dynamics remain poorly understood. Here, we show that…

Soft Condensed Matter · Physics 2025-08-27 Henry Alston , Raphael Voituriez , Thibault Bertrand

We study the diffusion of a tracer particle driven out-of-equilibrium by an external force and traveling in a dense environment of arbitrary density. The system evolves on a discrete lattice and its stochastic dynamics is described by a…

Statistical Mechanics · Physics 2018-05-23 Pierre Illien , Olivier Bénichou , Gleb Oshanin , Alessandro Sarracino , Raphaël Voituriez

We study the diffusion of a charged particle in a magnetic field subject to stochastic dichotomous fluctuations. The associated induced electric field gives rise to non-trivial dynamical regimes. In particular, when the mean magnetic field…

Disordered Systems and Neural Networks · Physics 2026-01-21 Gerardo Aquino , Mauro Bologna

A theory is developed to describe the coupled transport of energy and charge in networks of electron donor-acceptor sites which are seated in a thermally heterogeneous environment, where the transfer kinetics are dominated by Marcus-type…

Mesoscale and Nanoscale Physics · Physics 2019-08-02 Galen T. Craven , Abraham Nitzan