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We derive equations of motion for the mean-squared displacement (MSD) of an active Brownian particle (ABP) in a crowded environment modeled by a dense system of passive Brownian particles, and of a passive tracer particle in a dense…

软凝聚态物质 · 物理学 2021-07-27 Julian Reichert , Thomas Voigtmann

We propose a non-Gaussian operator-valued extension of the Barndorff-Nielsen and Shephard stochastic volatility dynamics, defined as the square-root of an operator-valued Ornstein-Uhlenbeck process with Levy noise and bounded drift. We…

概率论 · 数学 2015-06-25 Fred Espen Benth , Barbara Ruediger , Andre Suess

Active matter concerns the self-organization of energy consuming elements such as motile bacteria or self-propelled colloids. A canonical example is an active Brownian particle (ABP) that moves at constant speed while its direction of…

统计力学 · 物理学 2023-06-21 Paul C Bressloff

The survival probability for a periodic non-autonomous Ornstein-Uhlenbeck process is calculated analytically using two different methods. The first uses an asymptotic approach. We treat the associated Kolmogorov Backward Equation with an…

统计力学 · 物理学 2025-01-20 L. T. Giorgini , W. Moon , J. S. Wettlaufer

Active matter agents consume internal energy or extract energy from the environment for locomotion and force generation. Already rather generic models, such as ensembles of active Brownian particles, exhibit phenomena, which are absent at…

软凝聚态物质 · 物理学 2020-07-27 Roland G. Winkler , Gerhard Gompper

We study an active Brownian run-and-tumble particle (ABRTP) model, that consists of an active Brownian run state during which the active velocity of the particle diffuses on the unit circle, and a tumble state during which the active…

统计力学 · 物理学 2025-10-03 Aoran Sun , Da Wei , Yiyu Zhang , Fangfu Ye , Rudolf Podgornik

We derive the fluctuation dynamics of a probe in weak coupling with a "living" medium, modeled as particles undergoing an active Ornstein-Uhlenbeck dynamics. Nondissipative corrections to the fluctuation-dissipation relation are written out…

软凝聚态物质 · 物理学 2020-11-18 Christian Maes

We consider a generic system operating under non-equilibrium conditions. Explicitly, we consider an inertial classical Brownian particle dwelling a periodic structure with a spatially broken reflection symmetry. The particle is coupled to a…

统计力学 · 物理学 2020-07-15 P. Hänggi , J. Łuczka , J. Spiechowicz

The "ratchet principle" asserts that non-equilibrium systems which violate parity symmetry generically exhibit steady-state currents. As recently shown, there are exceptions to this principle, due to the existence of hidden time-reversal…

统计力学 · 物理学 2026-01-15 Jessica Metzger , Sunghan Ro , Julien Tailleur

The study of systems with sustained energy uptake and dissipation at the scale of the constituent particles is an area of central interest in nonequilibrium statistical physics. Identifying such systems as a distinct category -- Active…

统计力学 · 物理学 2017-06-07 Sriram Ramaswamy

We review theoretical models of individual motility as well as collective dynamics and pattern formation of active particles. We focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of…

其他凝聚态物理 · 物理学 2015-06-04 Pawel Romanczuk , Markus Bär , Werner Ebeling , Benjamin Lindner , Lutz Schimansky-Geier

Based on a version of Dudley's Wiener process on the mass shell in the momentum Minkowski space of a massive point particle, a model of a relativistic Ornstein--Uhlenbeck process is constructed by addition of a specific drift term. The…

数学物理 · 物理学 2017-03-22 Jürgen Potthoff , Robert Schrader

We provide a comprehensive analysis of the positional dynamics and average thermodynamics of an overdamped Brownian particle subject to both, harmonic confinement and annealed disorder due to a temporarily fluctuating trap stiffness. We…

统计力学 · 物理学 2025-09-17 Deepak Gupta , Sabine H. L. Klapp

Mobile microscopic bodies, such as motile cells, can be modelled phenomenologically as ``active particles'' which can move against external forces by depleting an internal energy depot. The microscopic mechanisms underlying such ``active''…

统计力学 · 物理学 2024-02-01 Diego Marcel Fieguth

Active particles which are self-propelled by converting energy into mechanical motion represent an expanding research realm in physics and chemistry. For micron-sized particles moving in a liquid ("microswimmers"), most of the basic…

软凝聚态物质 · 物理学 2020-02-19 Hartmut Löwen

We analytically investigate the dynamic behavior of an an-isotropic active Brownian particle under various stochastic resetting protocols in two dimensions. The motion of shape-asymmetric active Brownian particles in two dimensions leads to…

统计力学 · 物理学 2025-11-26 Anirban Ghosh , Sudipta Mandal , Subhasish Chaki

The characterization of irreversibility in general quantum processes is an open problem of increasing techno- logical relevance. Yet, the tools currently available to this aim are mostly limited to the assessment of dynamics induced by…

量子物理 · 物理学 2017-06-06 Jader P. Santos , Gabriel T. Landi , Mauro Paternostro

The irreversibility of the dynamics of the conservative systems on example of hard disks and potentially of interacting elements is investigated in terms of laws of classical mechanics. The equation of the motion of interacting systems and…

统计力学 · 物理学 2007-05-23 V. M. Somsikov

We analyze underdamped Brownian motion in non-isothermal media with quadratic, linear, and piecewise-constant temperature profiles. Exact identities for entropy production and entropy extraction are derived, addressing whether a vanishing…

统计力学 · 物理学 2025-09-10 Mesfin Taye

The efficient manipulation of thermodynamic states within the finite time is fundamentally constrained by the intrinsic dissipative cost. While the slow-driving regime is well-characterized by a universal $1/\tau$-scaling of…

统计力学 · 物理学 2026-02-17 Cong Fu , Youhui Lin , Shanhe Su , Yu-Han Ma
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