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We review several results related to the problem of a quantum particle in a random environment. In an introductory part, we recall how several functionals of the Brownian motion arise in the study of electronic transport in weakly…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alain Comtet , Jean Desbois , Christophe Texier

We investigate various possible definitions of an effective temperature for a particularly simple nonequilibrium stationary system, namely a heated Brownian particle suspended in a fluid. The effective temperature based on the fluctuation…

Statistical Mechanics · Physics 2011-05-30 Laurent Joly , Samy Merabia , Jean-Louis Barrat

We study the motion of an overdamped colloidal particle in a time-dependent non-harmonic potential. We demonstrate the first law-like balance between applied work, exchanged heat, and internal energy on the level of a single trajectory. The…

Statistical Mechanics · Physics 2007-05-23 V. Blickle , T. Speck , L. Helden , U. Seifert , C. Bechinger

We observe thermal motions of ions, and molecules in water through light extinction, at the individual particle level. The motions appear as time dependent intensity variations, characterized through their averaged spectra. Theoretical…

Other Condensed Matter · Physics 2022-03-23 Kenichiro Aoki , Takahisa Mitsui

We study a stationary state of a single self-propelled, athermal particle in linear and quadratic external potentials. The self-propulsion is modeled as a fluctuating force evolving according to the Ornstein-Uhlenbeck process, independently…

Soft Condensed Matter · Physics 2014-07-23 Grzegorz Szamel

We study a Brownian particle on a moving periodic potential. We focus on the statistical properties of the work done by the potential and the heat dissipated by the particle. When the period and the depth of the potential are both large, by…

Statistical Mechanics · Physics 2015-06-05 Takahiro Nemoto

Charge transfer is a fundamental process that underlies a multitude of phenomena in chemistry and biology. Recent advances in observing and manipulating charge and heat transport at the nanoscale, and recently developed techniques for…

Mesoscale and Nanoscale Physics · Physics 2016-07-26 Galen T. Craven , Abraham Nitzan

This work focuses on the response to an external field of a Brownian particle submerged in an Ohmic quantum thermal bath. The field only affects the dynamics of the central particle without affecting the thermal reservoir. The thermodynamic…

Quantum Physics · Physics 2019-11-12 Pedro J. Colmenares

We analyze the equilibrium spatial distribution of surface temperatures of patterned surfaces. The surface is exposed to a constant external heat flux and has a fixed internal temperature that is coupled to the outside heat fluxes by finite…

Mesoscale and Nanoscale Physics · Physics 2017-05-10 Thorsten Emig

A normal-diffusion theory for heat transfer in many-body systems via carriers of thermal photons is developed. The thermal conductivity tensor is rigorously derived from fluctuational electrodynamics as a coefficient of diffusion term for…

Applied Physics · Physics 2022-11-04 Minggang Luo , Junming Zhao , Linhua Liu

Quantum Brownian motion in a periodic cosine potential is studied and a simple estimate of the tunneling effect is obtained in the frames of a quasi-equilibrium semiclassical approach. It is shown that the latter is applicable for heavy…

Quantum Physics · Physics 2012-01-19 R. Tsekov

The lateral diffusion coefficient of a Brownian particle on a two-dimensional random surface is studied in the quenched limit for which the surface configuration is time-independent. We start with the stochastic equation of motion for a…

Soft Condensed Matter · Physics 2020-10-06 Takao Ohta , Shigeyuki Komura

Heat conduction at low temperatures show various effects that cannot be described by the Fourier law, like the second sound and ballistic propagation. In this paper the performance of various theories is compared in case of ballistic and…

Statistical Mechanics · Physics 2017-04-11 R. Kovács , P. Ván

We consider a sheared colloidal suspension under the influence of an external potential that varies slowly in space in the plane perpendicular to the flow and acts on one selected (tagged) particle of the suspension. Using a Chapman-Enskog…

Soft Condensed Matter · Physics 2015-05-28 Grzegorz Szamel , Min Zhang

A method is proposed for determining the temperature of hot electrons in a metallic nanoparticle embedded in a dielectric matrix under ultrashort laser pulses irradiation. The amplitude and power of the longitudinal spherical acoustic…

Mesoscale and Nanoscale Physics · Physics 2017-12-15 N. I. Grigorchuk

We determine the rate of escape from a potential well, and the diffusion coefficient in a periodic potential, of a random walker that moves under the influence of the potential in between successive collisions with the heat bath. In the…

Statistical Mechanics · Physics 2016-09-05 Massimo Pica Ciamarra , Antonio Piscitelli

We study the behaviour of a Brownian particle in the overdamped regime in the presence of a harmonic potential, assuming its diffusion coefficient to randomly jump between two distinct values. In particular, we characterize the probability…

Within the framework of macroscopic quantum electrodynamics and scattering theory, we derive the general expressions for the variance of radiative heat transfer between two arbitrarily shaped objects placed in an arbitrary environment in…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 F. Herz , C. Kathmann , S. -A. Biehs

The governing equations of Brownian rigid bodies that both translate and rotate are of interest in fields such as self-assembly of proteins, anisotropic colloids, dielectric theory, and liquid crystals. In this paper, the partial…

Statistical Mechanics · Physics 2020-01-09 Henrik van Lengerich

We theoretically and numerically investigate the transport of active colloids to target regions, delimited by asymmetric energy barriers. We show that it is possible to introduce a generalized effective temperature that is related to the…

Soft Condensed Matter · Physics 2015-06-30 N. Koumakis , C. Maggi , R. Di Leonardo