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Brownian oscillator, i.e. a micron-sized or smaller particle trapped in a thermally fluctuating environment is studied. The confining harmonic potential can move with a constant velocity. As distinct from the standard Langevin theory, the…

统计力学 · 物理学 2012-02-21 Lukas Glod , Gabriela Vasziova , Jana Tothova , Vladimir Lisy

We extend our previous studies on a counter-intuitive effect in which a directed transport of a free Brownian particle induced by active fluctuations can be significantly enhanced when the particle is placed in a periodic potential. It is…

统计力学 · 物理学 2023-10-05 Karol Białas , Jerzy Łuczka , Jakub Spiechowicz

In this thesis, branching Brownian motion (BBM) is a random particle system where the particles diffuse on the real line according to Brownian motions and branch at constant rate into a random number of particles with expectation greater…

概率论 · 数学 2013-04-02 Pascal Maillard

We consider an isothermal machine composed of two Brownian particles (say particle A and B) connected by a harmonic spring. A constant load is attached to particle A, and the particle B is trapped in a harmonic confinement whose minimum is…

统计力学 · 物理学 2018-08-01 Deepak Gupta

Using the scheme of mesoscopic nonequilibrium thermodynamics, we construct the one- and two- particle Fokker-Planck equations for a system of interacting Brownian particles. By means of these equations we derive the corresponding balance…

软凝聚态物质 · 物理学 2009-11-07 M. Mayorga , L. Romero-Salazar , J. M. Rubi

Here we present a Brownian ratchet based on plasmonic interactions. By periodically turning on and off a laser beam that illuminates a periodic array of plasmonic nanostructures with broken spatial symmetry, the random thermal motion of a…

介观与纳米尺度物理 · 物理学 2014-01-27 Paloma A. Huidobro , Sadao Ota , Xiaodong Yang , Xiaobo Yin , F. J. Garcia-Vidal , Xiang Zhang

Transport phenomena in spatially periodic systems far from thermal equilibrium are considered. The main emphasize is put on directed transport in so-called Brownian motors (ratchets), i.e. a dissipative dynamics in the presence of thermal…

统计力学 · 物理学 2009-10-31 Peter Reimann

We study the phenomena of noise induced transport in frictional ratchet systems. For this we consider a Brownian particle moving in a space dependent frictional medium in the presence of external white noise fluctuations. To get the…

统计力学 · 物理学 2009-07-13 Raishma Krishnan , Debasis Dan , A. M. Jayannavar

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…

物理教育 · 物理学 2007-05-23 Kasturi Basu , Kopinjol Baishya

We investigate the transport properties of particles driven by colored noise in a flashing ratchet potential, focusing on both non-interacting and single-file interacting regimes. The model incorporates memory effects via a non-Markovian…

软凝聚态物质 · 物理学 2025-12-18 Karina I. Mazzitello , Daniel G. Zarlenga , Constancio M. Arizmendi

Transport in a one-dimensional symmetric device can be activated by the combination of thermal noise and a bi-harmonic drive. For the study case of an overdamped Brownian particle diffusing on a periodic one-dimensional substrate, we…

统计力学 · 物理学 2009-11-11 M. Borromeo , F. Marchesoni

The one-dimensional overdamped Brownian motion in a symmetric periodic potential modulated by external time-reversible noise is analyzed. The calculation of the effective diffusion coefficient is reduced to the mean first passage time…

统计力学 · 物理学 2009-11-11 Bernardo Spagnolo , Alexander Dubkov

In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined with symmetric external input signals, deterministic or random, alike, can assist directed motion of particles at the submicron scales. In such cases,…

统计力学 · 物理学 2009-06-05 Peter Hanggi , Fabio Marchesoni

Controlled long-range transport of micro- and nano-scale objects is a key requirement in lab-on-a-chip and microfluidic applications, enabling the efficient capture, concentration, manipulation, and detection of analytes. Traditional…

The effect of multiplicative white noise on the resonance capture in non-isochronous systems with time-decaying pumping is investigated. It is assumed that the intensity of perturbations decays with time, and its frequency is asymptotically…

动力系统 · 数学 2025-03-11 Oskar A. Sultanov

We consider a gas of independent Brownian particles on a bounded interval in contact with two particle reservoirs at the endpoints. Due to the Brownian nature of the particles, infinitely many particles enter and leave the system in each…

概率论 · 数学 2019-07-25 Lorenzo Bertini , Gustavo Posta

We study the stochastic dynamics of Brownian particles in a heat bath and subject to an active feedback control by an external, Maxwell's demon-like agent. The agent uses the information of the velocity of a particle and reduces its thermal…

经典物理 · 物理学 2007-05-23 Kyung Hyuk Kim , Hong Qian

We study stochastic particle transport between two reservoirs along a channel, where the particles are pumped against a bias by a traveling wave potential. It is shown that phase transitions of period-averaged densities or currents occur…

统计力学 · 物理学 2018-07-03 Marcel Dierl , Wolfgang Dieterich , Mario Einax , Philipp Maass

It seems that a stochastic system must be a nonlinear one to observe the phenomenon, noise induced transition. But in the present paper, we have demonstrated that the phenomenon may be observed even in a linear stochastic process where both…

统计力学 · 物理学 2022-01-04 Shrabani Mondal , L. R. Rahul Biswas , Mousumi Biswas , Bidhan Chandra Bag

Systems in nature are stochastic as well as nonlinear. In traditional applications, engineered filters aim to minimize the stochastic effects caused by process and measurement noise. Conversely, a previous study showed that the process…

系统与控制 · 电气工程与系统科学 2024-07-11 Burak Boyacıoğlu , Mahnoush Babaei , Amanuel H. Mamo , Sarah Bergbreiter , Thomas L. Daniel , Kristi A. Morgansen