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We propose a new look at the heat bath for two Brownian particles, in which the heat bath as a `system' is both perturbed and sensed by the Brownian particles. Non-local thermal fluctuation give rise to bath-mediated static forces between…

Statistical Mechanics · Physics 2015-06-17 Caterina De Bacco , Fulvio Baldovin , Enzo Orlandini , Ken Sekimoto

We present a theory for the steady-state dynamics of a two-dimensional system of spherically symmetric active Brownian particles. The derivation of the theory consists of two steps. First, we integrate out the self-propulsions and obtain a…

Soft Condensed Matter · Physics 2019-05-01 Grzegorz Szamel

We consider two interacting particles on the circle. The particles are subject to stochastic forcing, which is modeled by white noise. In addition, one of the particles is subject to friction, which models energy dissipation due to the…

Probability · Mathematics 2025-10-29 Dmitry Dolgopyat , Bassam Fayad , Leonid Koralov , Shuo Yan

A thermal analogue of the classical brachistochrone problem, which minimizes the connection time between two equilibrium states of harmonically confined Brownian particles, has recently been solved theoretically. Here we report its…

The organization of water molecules and ions between charged mineral surfaces determines the stability of colloidal suspensions and the strength of phase-separated particulate gels. In this article we assemble a density functional that…

Soft Condensed Matter · Physics 2024-05-15 Thomas Petersen

Holographic optical tweezers are used to construct a static bistable optical potential energy landscape where a Brownian particle experiences restoring forces from two nearby optical traps and undergoes thermally activated transitions…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Arran Curran , Michael P. Lee , Roberto Di Leonardo , Jonathan M. Cooper , Miles J. Padgett

We consider the two dimensional motion of a particle into a confining potential, subjected to Brownian forces, associated with two different temperatures on the orthogonal directions. Exact solutions are obtained for an asymmetric harmonic…

Statistical Mechanics · Physics 2018-05-23 Vincent Mancois , Bruno Marcos , Pascal Viot , David Wilkowski

Shear-induced cross-correlations of particle fluctuations perpendicular and along stream-lines are investigated experimentally and theoretically. Direct measurements of the Brownian motion of micron-sized beads, held by optical tweezers in…

Statistical Mechanics · Physics 2009-12-07 Andreas Ziehl , Jochen Bammert , Lukas Holzer , Christian Wagner , Walter Zimmermann

We revisit the effective parameter description of hot Brownian motion -- a scenario where a colloidal particle is kept at an elevated temperature than the ambient fluid. Due to the time scale separation between heat diffusion and particle…

Soft Condensed Matter · Physics 2018-06-13 Mayank Srivastava , Dipanjan Chakraborty

We present a Brownian dynamics simulation of the bacterial Stirling engine studied by Krishnamurthy et al., Nat. Phys. 12, 1134 (2016). In their experimental setup, an overdamped colloid in an optical trap with time-modulated stiffness…

Soft Condensed Matter · Physics 2025-02-04 Roland Wiese , Klaus Kroy , Viktor Holubec

We investigate a system of co-oriented active particles interacting only via hydrodynamic and steric interactions. We offer a new method of calculating the flow created by any active particle in a 2D fluid, focusing on the dynamics of flow…

Soft Condensed Matter · Physics 2023-11-27 Roee Bashan , Naomi Oppenheimer

Brownian particles placed sequentially in contact with distinct thermal reservoirs and subjected to external driving forces are promising candidates for the construction of reliable thermal engines. In this contribution, we address the role…

Statistical Mechanics · Physics 2022-06-14 Fernando S. Filho , Bruno A. N. Akasaki , Carlos E. Fernadéz Noa , Bart Cleuren , Carlos E. Fiore

We synthesize colloidal particles with various anisotropic shapes and track their orientationally resolved Brownian trajectories using confocal microscopy. An analysis of appropriate short-time correlation functions provides direct access…

Soft Condensed Matter · Physics 2014-01-28 Daniela J. Kraft , Raphael Wittkowski , Borge ten Hagen , Kazem V. Edmond , David J. Pine , Hartmut Löwen

We investigate the non-equilibrium evolution of ideal Brownian particles confined between two walls, following simultaneous quenches of the temperature and a constant external force. We compute (analytically and in numeric simulations) the…

Statistical Mechanics · Physics 2024-04-23 Hamid Khalilian , Mehrana R. Nejad , Ali G. Moghaddam , Christian M. Rohwer

In many physical systems, degrees of freedom are coupled \emph{via} hydrodynamic forces, even in the absence of Hamiltonian interactions. A particularly important and widespread example concerns the transport of microscopic particles in…

Soft Condensed Matter · Physics 2025-02-11 Juliette Lacherez , Maxime Lavaud , Yacine Amarouchene , David S. Dean , Thomas Salez

It is well known that energy dissipation and finite size can deeply affect the dynamics of granular matter, often making usual hydrodynamic approaches problematic. Here we report on the experi-mental investigation of a small model system,…

Soft Condensed Matter · Physics 2023-10-31 Andrea Gnoli , Giorgio Pontuale , Andrea Puglisi , Alberto Petri

We provide a quantitative description of the evolution of memory from the apparently random Markovian dynamics of a pair of optically trapped colloidal microparticles in water. The particles are trapped in very close proximity of each other…

Soft Condensed Matter · Physics 2018-08-15 Shuvojit Paul , Randhir Kumar , Ayan Banerjee

Evidence suggests that the transport rate of a passive particle at long timescales is enhanced due to interactions with the surrounding active ones in a size- and composition-dependent manner. Using a system of particles with different…

Soft Condensed Matter · Physics 2021-07-14 Efe Ilker , Michele Castellana , Jean-François Joanny

We report on the energy transport between two coupled probes in contact with granular thermostats at different temperatures. In our experiment, two identical blades, which are electromechanically coupled, are immersed in two granular gases…

Statistical Mechanics · Physics 2015-06-19 Charles-Édouard Lecomte , Antoine Naert

Drying of particle suspensions is an ubiquitous phenomenon with many natural and practical applications. In particular, in unidirectional drying, the evaporation of the solvent induces flows which accumulate particles at the liquid/air…

Soft Condensed Matter · Physics 2017-11-21 Cécile Noirjean , Moreno Marcellini , Tom Kodger , Cécile Monteux , Sylvain Deville