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We study the dynamics of a single trapped probe surrounded by self-propelled active particles in two dimensions. In the limit of large size separation, we perform an adiabatic elimination of the small active particles to obtain an effective…

Soft Condensed Matter · Physics 2023-07-21 Ashreya Jayaram , Thomas Speck

We use Brownian Dynamics computer simulations of a moderately dense colloidal system undergoing steady shear flow to investigate the uniqueness of the so-called effective temperature. We compare effective temperatures calculated from the…

Soft Condensed Matter · Physics 2011-06-29 Min Zhang , Grzegorz Szamel

We analyze the dynamics of a Brownian gas in contact with a heat bath in which large temperature fluctuations occur. There are two distinct time scales present, one describes the decay of the fluctuations in the temperature and the other…

Statistical Mechanics · Physics 2009-11-11 I. Santamaria-Holek , R. F. Rodriguez

The interaction of a suspension of rotating colloids with a periodically patterned structure is here investigated by means of continuum theoretical predictions and hydrodynamic simulations. Close to the obstacle surface, rotors circulate…

Statistical Mechanics · Physics 2025-08-22 Joscha Mecke , Yongxiang Gao , Marisol Ripoll

We study the Brownian motion of a charged test particle coupled to electromagnetic vacuum fluctuations near a perfectly reflecting plane boundary. The presence of the boundary modifies the quantum fluctuations of the electric field, which…

Quantum Physics · Physics 2007-05-23 Hongwei Yu , L. H. Ford

In the paper by Franosch et al., Nature 478, 85 (2011), the positional fluctuations of Brownian microspheres in fluids were studied by confining the particles in an optical trap. Experimental access to short timescales has revealed a…

Statistical Mechanics · Physics 2013-04-16 Jana Tothova , Lukas Glod , Vladimir Lisy

Biological tissues are active materials whose non-equilibrium dynamics emerge from distinct cellular force-generating mechanisms. Using a two-dimensional active foam model, we compare the effects of traction forces and junctional tension…

Biological Physics · Physics 2026-04-14 Alessandro Rizzi , Sangwoo Kim

The classical theory of Brownian motion rests on fundamental laws of statistical mechanics, such as the equipartition theorem and the fluctuation-dissipation theorem, which are not applicable in non-isothermal situations. We derive the…

Statistical Mechanics · Physics 2014-06-10 Gianmaria Falasco , Manuel Victor Gnann , Klaus Kroy

We prove that a stochastic flow of reflected Brownian motions in a smooth multidimensional domain is differentiable with respect to its initial position. The derivative is a linear map represented by a multiplicative functional for…

Probability · Mathematics 2008-06-26 Krzysztof Burdzy

We study the dynamics of an overdamped Brownian particle in a thermal bath that contains a dilute solution of active particles. The particle moves in a harmonic potential and experiences Poisson shot-noise kicks with specified amplitude…

Statistical Mechanics · Physics 2024-07-18 Costantino Di Bello , Rita Majumdar , Rahul Marathe , Ralf Metzler , Edgar Roldan

We address the gas, liquid, and crystal phase behaviour of active Brownian particles in three dimensions. The nonequilibrium force balance at coexistence leads to equality of state functions for which we use power functional approximations.…

Soft Condensed Matter · Physics 2024-02-28 Sophie Hermann , Matthias Schmidt

We have developed a simulation model to study the hydrodynamic flow fields around Brownian colloidal particles with an active surface patch. Hydrodynamics is introduced by modeling low-Reynolds-number fluid flows around a colloid using…

Within a microscopic theory, we study the quantum Brownian motion of a skyrmion in a magnetic insulator coupled to a bath of magnon-like quantum excitations. The intrinsic skyrmion-bath coupling gives rise to damping terms for the skyrmion…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 Christina Psaroudaki , Pavel Aseev , Daniel Loss

Fluctuations are significant in mesoscopic systems and of particular importance in understanding quantum transport. Here, we show that fluctuations can be considered as a resource for the operations of open quantum systems as functional…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Jincheng Lu , Rongqian Wang , Chen Wang , Jian-Hua Jiang

Although the dynamics of colloids in the vicinity of a solid interface has been widely characterized in the past, experimental studies of Brownian diffusion close to an air-water interface are rare and limited to particle-interface gap…

Soft Condensed Matter · Physics 2022-11-11 Stefano Villa , Christophe Blanc , Abdallah Daddi-Moussa-Ider , Antonio Stocco , Maurizio Nobili

In this work, we numerically verify the Jarzynski equality and Crook fluctuation theorem for a Brownian particle diffusing in a heterogeneous thermal bath and hence having a non-Gaussian position distribution. We use the…

Statistical Mechanics · Physics 2026-03-05 A. Saravanan , I. Iyyappan

Within the Rayleigh-Helmholtz model of active Brownian particles activity is due to a non-linear velocity dependent force. In the presence of an external trapping potential or a constant force, the steady state of the system breaks detailed…

Statistical Mechanics · Physics 2015-06-19 Debasish Chaudhuri

We establish an effective Markov theory for the rotational Brownian motion of hot nanobeads and nanorods. Compact analytical expressions for the effective temperature and friction are derived from the fluctuating hydrodynamic equations of…

Soft Condensed Matter · Physics 2012-06-12 Daniel Rings , Dipanjan Chakraborty , Klaus Kroy

We analyze the diffusion of a Brownian particle in a fluid under stationary flow. By using the scheme of non-equilibrium thermodynamics in phase space, we obtain the Fokker-Planck equation which is compared with others derived from kinetic…

Statistical Mechanics · Physics 2016-08-16 I. Santamaría-Holek , D. Reguera , J. M. Rubí

A Brownian Motor is a nanoscale or molecular device that combines the effects of thermal noise, spatial or temporal asymmetry, and directionless input energy to drive directed motion. Because of the input energy, Brownian motors function…

Statistical Mechanics · Physics 2009-11-13 R. Dean Astumian