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We derive a relationship for the electric field dependent ionic conductivity in terms of fluctuations of time integrated microscopic variables. We demonstrate this formalism with molecular dynamics simulations of solutions of differing…

Statistical Mechanics · Physics 2020-05-27 Dominika Lesnicki , Chloe Y. Gao , Benjamin Rotenberg , David T. Limmer

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

One obtains a probabilistic representation for the entropic generalized solutions to a nonlinear Fokker-Planck equation in $\mathbb R^d$ with multivalued nonlinear diffusion term as density probabilities of solutions to a nonlinear…

Probability · Mathematics 2018-02-01 Viorel Barbu , Michael Röckner

The coupling between advection and diffusion in position space can often lead to enhanced mass transport compared to diffusion without flow. An important framework used to characterize the long-time diffusive transport in position space is…

Fluid Dynamics · Physics 2024-10-10 Zhiwei Peng

We propose exact results for the full counting statistics, or the scaled cumulant generating function, pertaining to the transfer of arbitrary conserved quantities across an interface in homogeneous integrable models out of equilibrium. We…

Statistical Mechanics · Physics 2020-01-22 Jason Myers , M. J. Bhaseen , Rosemary J. Harris , Benjamin Doyon

For fluctuating currents in non-equilibrium steady states, the recently discovered thermodynamic uncertainty relation expresses a fundamental relation between their variance and the overall entropic cost associated with the driving. We show…

Statistical Mechanics · Physics 2017-07-12 Patrick Pietzonka , Felix Ritort , Udo Seifert

We explore the effects of quantum mechanical squeezing on the nonequilibrium fluctuations of bosonic transport between two squeezed harmonic reservoirs and a two level system. A standard full counting statistics technique based on a quantum…

Quantum Physics · Physics 2022-06-16 Manash Jyoti Sarmah , Akanksha Bansal , Himangshu Prabal Goswami

Boltzmann equation requires some alternative simpler kinetic model like BGK to replace the collision term. Such a kinetic model which replaces the Boltzmann collision integral should preserve the basic properties and characteristics of the…

Fluid Dynamics · Physics 2013-12-31 Ajit Kumar Mahendra , Ram Kumar Singh

As a fundamental measure of stability in nonequilibrium thermodynamics, fluctuations provide critical insight into the performance and reliability of heat engines. In this work, we establish universal fluctuation-dissipation bounds that…

Statistical Mechanics · Physics 2026-01-13 Ousi Pan , Zhiqiang Fan , Shunjie Zhang , Jie Li , Jincan Chen , Shanhe Su

This article deals with transport properties of one dimensional Brownian diffusion under the influence of a correlated quenched random force, distributed as a two-level Poisson process. We find in particular that large time scaling laws of…

Condensed Matter · Physics 2009-10-28 Cecile MONTHUS

Thermoelectric transport involving an arbitrary number of terminals is discussed in the presence of a magnetic field breaking time-reversal symmetry within the linear response regime using the Landauer-B\"uttiker formalism. We derive a…

Statistical Mechanics · Physics 2013-10-14 Kay Brandner , Udo Seifert

The large-scale collective behavior of biological systems can be characterized by macroscopic transport, which arises from the non-equilibrium microscopic interactions among individual constituents. A prominent example is the formation of…

Statistical Mechanics · Physics 2025-07-29 Subhadip Chakraborti , Vasily Zaburdaev

For a colloidal particle driven by a constant force across a periodic potential, we investigate the distribution of entropy production both experimentally and theoretically. For short trajectories, the fluctuation theorem holds…

Statistical Mechanics · Physics 2009-11-13 T. Speck , V. Blickle , C. Bechinger , U. Seifert

We investigate the hydrodynamic regime in metals with momentum-conserving electron-electron scattering. The conservation of momentum results in well-defined dynamics whose effects we investigate via the relevant continuity equations. We…

Mesoscale and Nanoscale Physics · Physics 2025-05-22 Nisarg Chadha , Subroto Mukerjee

We study a gas of hard rods on a ring, driven by an external thermostat, with either elastic or inelastic collisions, which exhibits sub-diffusive behavior $<x^2 > \sim t^{1/2}$. We show the validity of the usual Fluctuation-Dissipation…

Statistical Mechanics · Physics 2008-10-10 D. Villamaina , A. Puglisi , A. Vulpiani

We investigate the microscopic features of bosonic quantum transport in a non-equilibrium steady state, which breaks time reversal invariance spontaneously. The analysis is based on the probability distributions, generated by the…

Statistical Mechanics · Physics 2022-04-19 Mihail Mintchev , Luca Santoni , Paul Sorba

Currents of particles or energy in driven nonequilibrium steady states are known to satisfy certain symmetries, referred to as fluctuation relations, determining the ratio of the probabilities of positive fluctuations to negative ones. A…

Statistical Mechanics · Physics 2014-02-27 Rodrigo Villavicencio-Sanchez , Rosemary J. Harris , Hugo Touchette

With the discussion of three examples, we aim at clarifying the concept of energy transfer associated with dissipation in mechanics and in thermodynamics. The dissipation effects due to dissipative forces, such as the friction force between…

Classical Physics · Physics 2016-06-09 Julio Guemez , Manuel Fiolhais

A generalization of the Onsager-Machlup theory from equilibrium to nonequilibrium steady states and its connection with recent fluctuation theorems are discussed for a dragged particle restricted by a harmonic potential in a heat reservoir.…

Statistical Mechanics · Physics 2007-05-23 Tooru Taniguchi , E. G. D. Cohen

We give a proof of transient fluctuation relations for the entropy production (dissipation function) in nonequilibrium systems, which is valid for most time reversible dynamics. We then consider the conditions under which a transient…

Statistical Mechanics · Physics 2009-11-13 Debra J. Searles , Lamberto Rondoni , Denis J. Evans