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We study a discrete stochastic model of a molecular motor. This discrete model can be viewed as a \emph{minimal} ratchet model. We extend our previous work on this model, by further investigating the constraints imposed by the Fluctuation…

Statistical Mechanics · Physics 2009-11-13 D. Lacoste , A. W. C. Lau , K. Mallick

An open quantum system interacting with its environment can be modeled under suitable assumptions as a Markov process, described by a Lindblad master equation. In this work, we derive a general set of fluctuation relations for systems…

Statistical Mechanics · Physics 2015-06-03 Raphael Chetrite , Kirone Mallick

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

We develop a nonequilibrium mode-coupling theory for uniformly sheared systems starting from microscopic, thermostatted SLLOD equations of motion. Our theory aims at describing stationary-state properties including rheological ones of…

Soft Condensed Matter · Physics 2009-11-13 Song-Ho Chong , Bongsoo Kim

To describe the slow dynamics of a system out of equilibrium, but close to a dynamical arrest, we generalize the ideas of previous work to the case where time-translational invariance is broken. We introduce a model of the dynamics that is…

Disordered Systems and Neural Networks · Physics 2016-08-31 P. De Gregorio , F. Sciortino , P. Tartaglia , E. Zaccarelli , K. A. Dawson

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

We present a density functional based closure of the pair Smoluchowski equation for Brownian particles under shear flow. Given an equilibrium free energy functional as input the theory provides first-principles predictions for the…

Soft Condensed Matter · Physics 2013-06-04 J. Reinhardt , F. Weysser , J. M. Brader

The Dean-Kawasaki (DK) equation, which is at the basis of stochastic density functional theory (SDFT), was proposed in the mid-nineties to describe the evolution of the density of interacting Brownian particles, which can represent a large…

Soft Condensed Matter · Physics 2025-05-13 Pierre Illien

Continuing our work on the nature and existence of fluctuation-dissipation relations (FDR) in linear and nonlinear open quantum systems [1-3], here we consider such relations when a linear system is in a nonequilibrium steady state (NESS).…

Quantum Physics · Physics 2020-11-11 Jen-Tsung Hsiang , Bei-Lok Hu

Detailed fluctuation theorem, a microscopic version of the steady state fluctuation theorem, has been proposed by Jarzynski and demonstrated in the case of Hamiltonian systems weakly coupled with reservoirs. We show that an identical…

Statistical Mechanics · Physics 2010-07-20 K. Gururaj , G. Raghavan , M. C. Valsakumar

We consider a system of multiscale stochastic differential equations whose slow component is drivenby a fractional Brownian motion with Hurst parameter H greater than 1/2. Under ergodic assumptions ensuring the applicability of the…

Probability · Mathematics 2025-12-10 Xue-Mei Li , Colin Piernot , Szymon Sobczak , Kexing Ying

Fluctuation relations are derived in systems where the spin degree of freedom and magnetic interactions play a crucial role. The form of the non-equilibrium fluctuation theorems relies in the assumption of a local balance condition. We…

Mesoscale and Nanoscale Physics · Physics 2012-06-21 Rosa Lopez , Jong Soo Lim , David Sanchez

We revisit the model of a Brownian particle in a heat bath submitted to an actively controlled force proportional to the velocity that leads to thermal noise reduction (cold damping). We investigate the influence of the continuous feedback…

Statistical Mechanics · Physics 2015-06-04 T. Munakata , M. L. Rosinberg

While Macroscopic Fluctuation Theory (MFT) has been highly successful in analyzing non-equilibrium steady states, its application to non-steady-state processes remains limited. In this study, we apply MFT to the relaxation process of…

Statistical Mechanics · Physics 2026-05-27 Daisuke Suzuki , Tomohiro Sasamoto

Discontinuous shear-thickening in dense suspensions naturally emerges from the activation of frictional forces by shear flow in non-Brownian systems close to jamming. Yet, this physical picture is incomplete as most experiments study soft…

Soft Condensed Matter · Physics 2018-08-08 Takeshi Kawasaki , Ludovic Berthier

We consider a toy model for glassy dynamics of colloidal suspensions: a single Brownian particle diffusing among immobile obstacles. If Gaussian factorization of static density fluctuations is assumed, this model can be solved without…

Soft Condensed Matter · Physics 2009-11-10 Grzegorz Szamel

Fluctuation Theorem(FT) has been studied as far from equilibrium theorem, which relates the symmetry of entropy production. To investigate the application of this theorem, especially to biological physics, we consider the FT for tilted…

Statistical Mechanics · Physics 2009-11-10 T. Monnai

Using Brownian dynamics (BD) simulations and an analytical approach we investigate the shear-induced, nonequilibrium dynamics of dense colloidal suspensions confined to a narrow slit-pore. Focusing on situations where the colloids arrange…

Soft Condensed Matter · Physics 2017-01-04 Sascha Gerloff , Sabine H. L. Klapp

An active Brownian particle is a minimal model for a self-propelled colloid in a dissipative environment. Experiments and simulations show that, in the presence of boundaries and obstacles, active Brownian particle systems approach…

Soft Condensed Matter · Physics 2024-01-17 Caleb G. Wagner , Michael F. Hagan , Aparna Baskaran

We present a theoretical framework to understand a modified fluctuation-dissipation theorem valid for systems close to non-equilibrium steady-states and obeying markovian dynamics. We discuss the interpretation of this result in terms of…

Statistical Mechanics · Physics 2015-05-20 G. Verley , K. Mallick , D. Lacoste
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