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Finite-bias electron transport through single molecules generally induces nonequilibrium molecular vibrations (phonons). By a mapping to a Fokker-Planck equation, we obtain analytical scaling forms for the nonequilibrium phonon distribution…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jens Koch , Matthias Semmelhack , Felix von Oppen , Abraham Nitzan

In this contribution we show that a suitably defined nonequilibrium entropy of an N-body isolated system is not a constant of the motion in general and its variation is bounded, the bounds determined by the thermodynamic entropy, i.e., the…

Statistical Mechanics · Physics 2009-11-13 A. Perez-Madrid

We study numerically the motion of a one dimensional array of Brownian particles in a washboard potential, driven by an external stochastic force and interacting via short range repulsive forces. In particular, we investigate the role of…

Statistical Mechanics · Physics 2009-11-11 Giulio Costantini , Fabio Cecconi , Umberto Marini-Bettolo-Marconi

We study the nonequilibrium dynamics of two particles confined in two spatially separated harmonic potentials and linearly coupled to the same thermally fluctuating scalar field, a cartoon for optically trapped colloids in contact with a…

Statistical Mechanics · Physics 2022-10-12 Davide Venturelli , Andrea Gambassi

Pattern formation in uniaxial polymeric liquid crystals is studied for different dynamic closure approximations. Using the principles of mesoscopic non-equilibrium thermodynamics in a mean-field approach, we derive a Fokker-Planck equation…

Soft Condensed Matter · Physics 2015-06-05 Humberto Hijar , Diego Marquina de Hoyos , Ivan Santamaria-Holek

Stochastic dynamics in the energy representation is employed as a method to study non-equilibrium Brownian-like systems. It is shown that the equation of motion for the energy of such systems can be taken in the form of the Langevin…

Statistical Mechanics · Physics 2015-05-18 Bohdan I. Lev , Alexei D. Kiselev

We propose a model of a nonlinear double-well potential (NDWP), alias a double-well pseudopotential, with the objective to study an alternative implementation of the spontaneous symmetry breaking (SSB) in Bose-Einstein condensates (BECs)…

Other Condensed Matter · Physics 2009-11-13 Thawatchai Mayteevarunyoo , Boris A. Malomed , Guangjiong Dong

Control of stochastic systems is a challenging open problem in statistical physics, with potential applications in a wealth of systems from biology to granulates. Unlike most cases investigated so far, we aim here at controlling a genuinely…

Statistical Mechanics · Physics 2024-01-09 Marco Baldovin , David Guéry-Odelin , Emmanuel Trizac

Characterizing the properties of an extended system driven by active reservoirs is a question of increasing importance. Here we address this question in two steps. We start by investigating the dynamics of a probe particle connected to an…

Statistical Mechanics · Physics 2024-10-24 Ritwick Sarkar , Ion Santra , Urna Basu

We perform an analytic study on the stochastic thermodynamics of a small classical particle trapped in a time dependent single-well potential in the highly underdamped limit. It is shown that the nonequilibrium probability density function…

Statistical Mechanics · Physics 2019-06-26 Domingos S. P. Salazar , Sérgio A. Lira

Dynamics of complex systems is often hierarchically organized on different time scales. To understand the physics of such hierarchy, here Brownian motion of a particle moving through a fluctuating medium with slowly varying temperature is…

Statistical Mechanics · Physics 2014-02-14 Sumiyoshi Abe

The presence of noise in non linear dynamical systems can play a constructive role, increasing the degree of order and coherence or evoking improvements in the performance of the system. An example of this positive influence in a biological…

Dynamical Systems · Mathematics 2016-09-07 M. -P. Zorzano , L. Vazquez

Driven lattice gases serve as canonical models for investigating collective transport phenomena and properties of non-equilibrium steady states (NESS). Here we study one-dimensional transport with nearest-neighbor interactions both in…

Statistical Mechanics · Physics 2013-08-13 Marcel Dierl , Mario Einax , Philipp Maass

We continue our investigation of kinetic models of a one-dimensional gas in contact with homogeneous thermal reservoirs at different temperatures. Nonlinear collisional interactions between particles are modeled by a so-called BGK dynamics…

Mathematical Physics · Physics 2019-04-11 Eric Carlen , Raffaele Esposito , Joel Leibowitz , Rossana Marra , Clement Mouhot

A deep understanding of the correlation between electronic and mechanical degrees of freedom is crucial to the development of quantum devices in a nanoelectromechanical system (NEMS). In this work, we first establish a fully quantum…

Mesoscale and Nanoscale Physics · Physics 2025-05-14 Chengjie Wu , Yi Ding , Yiying Yan , Yuguo Su , Elijah Omollo Ayieta , Slobodan Radošević , Georg Engelhardt , Gernot Schaller , JunYan Luo

We investigate a two-dimensional system of interacting Active Brownian Particles. Using the Martin-Siggia-Rose-Janssen-de Dominicis formalism, we built up the generating functional for correlation functions. We study in detail the…

Statistical Mechanics · Physics 2024-04-26 Nathan O. Silvano , Daniel G. Barci

In this work we develop and apply a path integral formulation for the microscopic degrees of freedom obeying stochastic differential equations to an active Brownian particle (ABP) trapped in a harmonic potential. The formalism allows to…

Soft Condensed Matter · Physics 2025-10-01 Carsten Littek , Mike Brandt , Falko Ziebert

We analyze the non-equilibrium steady states (NESS) of a one dimensional harmonic chain of $N$ atoms with alternating masses connected to heat reservoirs at unequal temperatures. We find that the temperature profile defined through the…

Mathematical Physics · Physics 2015-06-03 Venkateshan Kannan , Abhishek Dhar , J. L. Lebowitz

We introduce and study a class of models of free fermions hopping between neighbouring sites with random Brownian amplitudes. These simple models describe stochastic, diffusive, quantum, unitary dynamics. We focus on periodic boundary…

Statistical Mechanics · Physics 2019-04-17 M. Bauer , D. Bernard , T. Jin

We study theoretically an atomic Bose-Einstein condensate in a double-well trap both quantum mechanically and classically under conditions such that in the classical model an unstable equilibrium dissolves into large-scale oscillations of…

Quantum Physics · Physics 2010-05-07 Juha Javanainen