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Dissipative processes abound in most areas of sciences and can often be abstractly written as $\partial_t z = K(z) \delta S(z)/\delta z$, which is a gradient flow of the entropy $S$. Although various techniques have been developed to…

Mathematical Physics · Physics 2018-11-19 Xiaoguai Li , Nicolas Dirr , Peter Embacher , Johannes Zimmer , Celia Reina

The work approaches the study of the fluctuations for the thermodynamic systems in the presence of the fields. The approach is of phenomenological nature and developed in a Gaussian approximation. The study is exemplified on the cases of a…

Statistical Mechanics · Physics 2009-10-31 S. Dumitru , A. Boer

In a conducting medium held at finite temperature, free carriers are performing Brownian motion and generate fluctuating electromagnetic fields. We compute the averaged Lorentz force density that turns out nonzero in a thin sub-surface…

Quantum Physics · Physics 2024-11-22 Carsten Henkel

Recent studies have shown that in the presence of noise both fronts propagating into a metastable state and so-called pushed fronts propagating into an unstable state, exhibit diffusive wandering about the average position. In this paper we…

Statistical Mechanics · Physics 2016-08-31 Andrea Rocco , Jaume Casademunt , Ute Ebert , Wim van Saarloos

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

We critically examine a broad class of explicitly polarisable soft solvent models aimed at applications in dissipative particle dynamics. We obtain the dielectric permittivity using the fluctuating box dipole method in linear response…

Soft Condensed Matter · Physics 2025-11-03 Silvia Chiacchiera , Patrick B. Warren , Andrew J. Masters , Michael A. Seaton

Acceleration of relaxation toward a fixed stationary distribution via violation of detailed balance was reported in the context of a Markov chain Monte Carlo method recently. Inspired by this result, systematic methods to violate detailed…

Statistical Mechanics · Physics 2015-06-02 Akihisa Ichiki , Masayuki Ohzeki

It is shown that when $d\ge 3$, the growing random surface generated by the $(d+1)$-dimensional directed polymer model at sufficiently high temperature, after being smoothed by taking microscopic local averages, converges to a solution of…

Probability · Mathematics 2022-05-16 Sourav Chatterjee

In order to perform numerical simulations of the KPZ equation, in any dimensionality, a spatial discretization scheme must be prescribed. The known fact that the KPZ equation can be obtained as a result of a Hopf--Cole transformation…

Statistical Mechanics · Physics 2015-05-18 H. S. Wio , J. A. Revelli , R. R. Deza , C. Escudero , M. S. de La Lama

We investigate numerically, using the bond-fluctuation model, the adsorption of many random AB--copolymers with excluded volume interactions at the interface between two solvents. We find two regimes, controlled by the total number of…

Soft Condensed Matter · Physics 2007-05-23 Gongwen Peng , Jens-Uwe Sommer , Alexander Blumen

This article is concerned with statistics of addition spectra for systems of identical charged particles. A classical model is suggested in order to study fluctuations of Coulomb blockade peak spacings in large two-dimensional semiconductor…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yshai Avishai , Daniel Berend , Richard Berkovits

We describe a formally exact method to calculate the optical conductivity of a one-dimensional system with fluctuating order. For classical phase fluctuations we explicitly determine the optical conductivity by solving two coupled…

Strongly Correlated Electrons · Physics 2009-11-10 Lorenz Bartosch

We describe and implement a technique for extracting forces from the relaxation of an overdamped thermal system with normal modes. At sufficiently short time intervals, the evolution of a normal mode is well described by a one-dimensional…

Soft Condensed Matter · Physics 2009-11-13 Sunil K. Sainis , Vincent Germain , Eric R. Dufresne

The minimal energy variations of a directed polymer with tilted columnar disorder in two dimensions are shown numerically to obey a multiscaling at short distances which crosses over to global simple scaling at large distances. The scenario…

Statistical Mechanics · Physics 2009-11-07 Roya Mohayaee , Attilio L. Stella , Carlo Vanderzande

We study entropy production and fluctuation relations in the restricted solid-on-solid growth model, which is a microscopic realization of the KPZ equation. Solving the one dimensional model exactly on a particular line of the phase diagram…

Statistical Mechanics · Physics 2010-10-08 A C Barato , R Chetrite , H Hinrichsen , D Mukamel

The isothermal compressibility of an interacting or non interacting system may be extracted from the fluctuations of the number of particles in a well chosen control volume. Finite size effects are prevalent and should then be accounted for…

Statistical Mechanics · Physics 2015-06-18 Dario Villamaina , Emmanuel Trizac

Fluctuation relations are powerful equalities that hold far from equilibrium. However, the standard approach to include measurement and feedback schemes may become inapplicable in certain situations, including continuous measurements,…

Mesoscale and Nanoscale Physics · Physics 2019-09-05 Patrick P. Potts , Peter Samuelsson

We discuss the well known Einstein and the Kubo Fluctuation Dissipation Relations (FDRs) in the wider framework of a generalized FDR for systems with a stationary probability distribution. A multi-variate linear Langevin model, which…

Statistical Mechanics · Physics 2009-07-17 D. Villamaina , A. Baldassarri , A. Puglisi , A. Vulpiani

We prove fluctuation bounds for the particle current in totally asymmetric zero range processes in one dimension with nondecreasing, concave jump rates whose slope decays exponentially. Fluctuations in the characteristic directions have…

Probability · Mathematics 2012-01-25 M. Balázs , J. Komjáthy , T. Seppäläinen

Fluctuating-charge models are computationally efficient methods of treating polarization and charge-transfer phenomena in molecular mechanics and classical molecular dynamics simulations. They are also theoretically appealing as they are…

Chemical Physics · Physics 2010-04-02 Jiahao Chen
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