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We consider a Brownian particle in harmonic confinement of stiffness $k$, in one dimension in the underdamped regime. The whole setup is immersed in a heat bath at temperature $T$. The center of harmonic trap is dragged under any arbitrary…

Statistical Mechanics · Physics 2020-03-18 Deepak Gupta , Amos Maritan

When the density of the fluid surrounding suspended Brownian particles is appreciable, in addition to the forces appearing in the traditional Ornstein and Uhlenbeck theory of Brownian motion, additional forces emerge as the displaced fluid…

Soft Condensed Matter · Physics 2021-08-19 Nicos Makris

Starting from a microscopic theory, we derive a master equation for a harmonic oscillator coupled to a bath of non-interacting oscillators. We follow a non-perturbative approach, proposed earlier by us for the free Brownian particle. The…

Quantum Physics · Physics 2013-05-29 Jishad Kumar , S. Sinha , P. A. Sreeram

How quantum coherence influences thermodynamic behavior remains an open question in quantum thermodynamics. Here we investigate this relation within the pure dephasing framework, where a central qubit interacts with a finite Ising-like spin…

Quantum Physics · Physics 2026-03-31 Marino P. Lenzarini , Diogo O. Soares-Pinto

The fluctuation-dissipation theorem is a central theorem in nonequilibrium statistical mechanics by which the evolution of velocity fluctuations of the Brownian particle under a fluctuating environment is intimately related to its…

Statistical Mechanics · Physics 2015-05-14 Jen-Tsung Hsiang , Tai-Hung Wu , Da-Shin Lee

Brownian motion is the perpetual irregular motion exhibited by small particles immersed in a fluid. Such random motion of the particles is produced by statistical fluctuations in the collisions they suffer with the molecules of the…

Physics Education · Physics 2007-05-23 Kasturi Basu , Kopinjol Baishya

Dissipative Particle Dynamics (DPD) is a popular simulation model for investigating hydrodynamic behavior of systems with non-negligible equilibrium thermal fluctuations. DPD employs soft core repulsive interactions between the system…

Statistical Mechanics · Physics 2016-03-23 Oded Farago , Niels Grønbech-Jensen

Standard algorithms for the numerical integration of the Langevin equation require that interactions are slowly varying during to the integration timestep. This in not the case for hard-body systems, where there is no clearcut between the…

Soft Condensed Matter · Physics 2013-02-07 Antonio Scala

At finite concentrations of reacting molecules, kinetics of diffusion-controlled reactions is affected by intra-reactant interactions. As a result, multi-particle reaction statistics cannot be deduced from single-particle results. Here we…

Statistical Mechanics · Physics 2019-08-23 Tal Agranov , Baruch Meerson

Thermodynamics is commonly presented as a theory of macroscopic systems in stable equilibrium, built upon assumptions of extensivity and scaling with system size. In this paper, we present a universal formulation of the elementary…

Quantum Physics · Physics 2026-03-26 Gian Paolo Beretta

Simplest extensions of single particle dynamics in momentum conserving active fluid - that of an active suspension of two colloidal particles or a single particle confined by a wall - exhibit strong departures from Boltzmann behavior,…

Soft Condensed Matter · Physics 2019-12-18 Amit Singh Vishen , Jacques Prost , Madan Rao

We present results of molecular dynamics (MD) calculations of the effective thermal conductivity of nanofluids containing self-propelled nanoparticles. The translational and rotational dynamics observed in the simulations follow the…

Soft Condensed Matter · Physics 2024-06-19 Wei Peng , Anirban Chandra , Pawel Keblinski , Jeffrey L. Moran

When do non-equilibrium forms of disordered energy qualify as heat? \textcolor{blue}{We address this question in the context of cyclically operating heat engines in contact with a non-equilibrium energy reservoir that defies the zeroth law…

Statistical Mechanics · Physics 2020-11-25 Viktor Holubec , Stefano Steffenoni , Gianmaria Falasco , Klaus Kroy

We measure the energy fluctuations of a Brownian particle confined by an optical trap in an aging gelatin after a very fast quench (less than 1 ms). The strong nonequilibrium fluctuations due to the assemblage of the gel, are interpreted,…

Statistical Mechanics · Physics 2011-04-13 Juan Ruben Gomez-Solano , Artyom Petrosyan , Sergio Ciliberto

The spreading of a cloud of independent Brownian particles typically proceeds more effectively at higher temperatures, as it derives from the commonly known Sutherland-Einstein relation for systems in thermal equilibrium. Here, we report on…

Statistical Mechanics · Physics 2017-09-20 Jakub Spiechowicz , Peter Talkner , Peter Hänggi , Jerzy Łuczka

We consider a Brownian particle which, in addition to being in contact with a thermal bath, is driven by fluctuating forces which stem from active processes in the system, such as self-propulsion or collisions with other active particles.…

Statistical Mechanics · Physics 2019-04-24 Lennart Dabelow , Stefano Bo , Ralf Eichhorn

Self-diffusion, $D$, in a system of particles that interact with a pseudo hard sphere potential is analyzed. Coupling with a solvent is represented by a Langevin thermostat, characterized by the damping time $t_d$. The hypotheses that…

Statistical Mechanics · Physics 2023-02-08 L. Marchioni , M. A. Di Muro , M. Hoyuelos

We experimentally realize quasistatic adiabatic processes using a single optically-trapped micro- sphere immersed in water whose effective temperature is controlled by an external random electric field. A full energetic characterization of…

Statistical Mechanics · Physics 2015-06-03 Ignacio A. Martínez , Édgar Roldán , Luis Dinis , Dmitri Petrov , Raúl A. Rica

We propose a Langevin equation for systems in an environment with nonuniform temperature. At odds with an older proposal, ours admits a locally Maxwellian steady state, local equipartition holds and for detailed-balanced (reversible)…

Statistical Mechanics · Physics 2015-06-12 Matteo Polettini

We introduce and study analytically and numerically a simple model of inter-agent competition, where underachievement is strongly discouraged. We consider $N\gg 1$ particles performing independent Brownian motions on the line. Two particles…

Statistical Mechanics · Physics 2025-03-03 P. L. Krapivsky , Ohad Vilk , Baruch Meerson