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Related papers: Fundamental Bounds on First Passage Time Fluctuati…

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Phenomenological nonequilibrium thermodynamics describes how fluxes of conserved quantities such as matter, energy and charge flow from outer reservoirs across a system, and how they irreversibly degrade from one form to another. Stochastic…

Statistical Mechanics · Physics 2016-11-15 Matteo Polettini , Gregory Bulnes Cuetara , Massimiliano Esposito

We have shown how the intrinsic properties of a noise process can set an upper bound for the time derivative of entropy in a nonequilibrium system. The interplay of dissipation and the properties of noise processes driving the dynamical…

Statistical Mechanics · Physics 2009-11-07 Bidhan Chandra Bag

We continue the investigation, started in [J. Stat. Phys. 166, 926-1015 (2017)], of a network of harmonic oscillators driven out of thermal equilibrium by heat reservoirs. We study the statistics of the fluctuations of the heat fluxes…

Mathematical Physics · Physics 2020-08-07 Mondher Damak , Mayssa Hammami , Claude-Alain Pillet

We derive bounds on the precision of fluctuating currents, which are valid for the steady state of underdamped Langevin dynamics. These bounds provide a generalization of the overdamped thermodynamic uncertainty relation to the finite-mass…

Statistical Mechanics · Physics 2022-02-23 Andreas Dechant

The first-passage time is proposed as an independent thermodynamic parameter of the statistical distribution that generalizes the Gibbs distribution. The theory does not include the determination of the first passage statistics itself. A…

Statistical Mechanics · Physics 2022-08-22 V. V. Ryazanov

Continuous-time Markov chains have been successful in modelling systems across numerous fields, with currents being fundamental entities that describe the flows of energy, particles, individuals, chemical species, information, or other…

Statistical Mechanics · Physics 2026-01-14 Sara Dal Cengio , Pedro E. Harunari , Vivien Lecomte , Matteo Polettini

The fluctuation relations have received considerable attention since their emergence and development in the 1990s. We present a summary of the main results and suggest ways to interpret this material. Starting with a consideration of the…

Statistical Mechanics · Physics 2012-02-01 Richard E. Spinney , Ian J. Ford

Fluctuation dynamics of an experimentally measured observable offer a primary signal for nonequilibrium systems, along with dynamics of the mean. While universal speed limits for the mean have actively been studied recently, constraints for…

Statistical Mechanics · Physics 2024-11-08 Ryusuke Hamazaki

We study singularities in the large deviation function of the time-averaged current of diffusive systems connected to two reservoirs. A set of conditions for the occurrence of phase transitions, both first and second order, are obtained by…

Statistical Mechanics · Physics 2022-08-31 Yongjoo Baek , Yariv Kafri , Vivien Lecomte

The fluctuation theorem is a pivotal result of statistical physics. It quantifies the probability of observing fluctuations which are in violation of the second law of thermodynamics. More specifically, it quantifies the ratio of the…

Statistical Mechanics · Physics 2011-08-26 M. Belushkin , R. Livi , G. Foffi

We present technical results required for the description and understanding of correlations and fluctuations of the empirical density and current as well as diverse time-integrated and time-averaged thermodynamic currents of diffusion…

Statistical Mechanics · Physics 2023-01-09 Cai Dieball , Aljaž Godec

We evaluate the average and the standard deviation of the supercurrent in superconducting nanobridges, as functions of the temperature and the phase difference, in an equilibrium situation. We also evaluate the autocorrelation of the…

Superconductivity · Physics 2013-05-30 Jorge Berger

The purpose of this contribution is to summarize and discuss recent advances regarding the onset of turbulence in shear flows. The absence of a clear cut instability mechanism, the spatio-temporal intermittent character and extremely long…

Fluid Dynamics · Physics 2014-03-19 Baofang Song , Björn Hof

We report on a numerical experiment performed to analyze fluctuations of the entropy production in turbulent thermal convection, a physical configuration that represents here a prototypical case of an out-of-equilibrium dissipative system.…

Statistical Mechanics · Physics 2016-07-12 Francesco Zonta , Sergio Chibbaro

Advection and dispersion in highly heterogeneous environments involving interfacial discontinuities in the corresponding drift and dispersion rates are described through disparate examples from the physical and biological sciences. A…

We construct a minimal two-chain random walk model and study the information that fluctuations of the flux and higher cumulants can reveal about the model: its structure, parameters, and whether it operates under nonequilibrium conditions.…

Statistical Mechanics · Physics 2024-07-08 Joanna Li , Matthew Gerry , Israel Klich , Dvira Segal

In quantum transport through nanoscale devices, fluctuations arise from various sources: the discreteness of charge carriers, the statistical non-equilibrium that is required for device operation, and unavoidable quantum uncertainty. As…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Samuel L. Rudge , Daniel S. Kosov

Unlike macroscopic engines, the molecular machinery of living cells is strongly affected by fluctuations. Stochastic Thermodynamics uses Markovian jump processes to model the random transitions between the chemical and configurational…

Statistical Mechanics · Physics 2015-10-19 Bernhard Altaner , Artur Wachtel , Jürgen Vollmer

We put forward a relation between the static charge fluctuations and the conductance of correlated many-fermion systems at zero temperature, avoiding the use of time-dependent fluctuations as in the fluctuation-dissipation theorem. Static…

Strongly Correlated Electrons · Physics 2022-04-18 Yuchi He , Dante M. Kennes , Volker Meden

We investigate the problem of effusion of particles initially confined in a finite one-dimensional box of size $L$. We study both passive as well active scenarios, involving non-interacting diffusive particles and run-and-tumble particles,…

Statistical Mechanics · Physics 2025-02-03 Arup Biswas , Stephy Jose , Arnab Pal , Kabir Ramola