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We present numerical results for the tagged-particle dynamics by solving the mode-coupling theory in confined geometry for colloidal liquids (cMCT). We show that neither the microscopic dynamics nor the type of intermediate scattering…

软凝聚态物质 · 物理学 2021-10-29 Gerhard Jung , Lukas Schrack , Thomas Franosch

The stochastic differential equations for a model of dissipative particle dynamics, with both total energy and total momentum conservation at every time-step, are presented. The algorithm satisfies detailed balance as well as the…

统计力学 · 物理学 2007-05-23 Allan D. Mackie , Josep Bonet Avalos

Using equilibrium fluctuations to understand the response of a physical system to an externally imposed perturbation is the basis for linear response theory, which is widely used to interpret experiments and shed light on microscopic…

统计力学 · 物理学 2024-06-24 Jérémie Klinger , Grant M. Rotskoff

The Fluctuation Theorem describes the probability ratio of observing trajectories that satisfy or violate the second law of thermodynamics. It has been proved in a number of different ways for thermostatted deterministic nonequilibrium…

统计力学 · 物理学 2009-10-31 Debra J. Searles , Denis J. Evans

There is evidence that taking the time average of the work performed by a thermally isolated system effectively "transforms" the adiabatic process into an isothermal one. This approach allows inherent quantities of adiabatic processes to be…

统计力学 · 物理学 2025-10-03 Pierre Nazé

Progress in miniaturized technology allows us to control physical systems at nanoscale with remarkable precision. Experimental advancements have sparked interest in control problems in stochastic thermodynamics, typically concerning a…

统计力学 · 物理学 2025-03-26 Julia Sanders , Marco Baldovin , Paolo Muratore-Ginanneschi

We establish a connection between tagged particles and size-biased empirical processes in interacting particle systems, in analogy to classical results on the propagation of chaos. In a mean-field scaling limit, the evolution of the…

概率论 · 数学 2026-03-03 Angeliki Koutsimpela , Stefan Grosskinsky

We discuss thermotropic nematic liquid crystals in the mean-field regime. In the first part of this article, we rigorously carry out the mean-field limit of a system of $N$ rod-like particles as $N\to\infty$, which yields an effective…

数学物理 · 物理学 2017-07-14 Sven Bachmann , François Genoud

A formally exact set of equations is derived for the description of nonequilibrium phenomena in classical liquids and glasses. With the help of a non equilibrium projection operator formalism, the correlation functions and fluctuation…

无序系统与神经网络 · 物理学 2009-10-31 A. Latz

We establish a novel generalization of the fluctuation theorem for partially-masked nonequilibrium dynamics. We introduce a partial entropy production with a subset of all possible transitions, and show that the partial entropy production…

统计力学 · 物理学 2015-01-20 Naoto Shiraishi , Takahiro Sagawa

The uncertainty principle guarantees a non-zero value for the positional uncertainty, $\left\langle \Delta x^2\right\rangle > 0$, even without thermal fluctuations. This implies that quantum fluctuations inherently enhance positional…

统计力学 · 物理学 2025-09-08 Harukuni Ikeda

We give a proof of transient fluctuation relations for the entropy production (dissipation function) in nonequilibrium systems, which is valid for most time reversible dynamics. We then consider the conditions under which a transient…

统计力学 · 物理学 2009-11-13 Debra J. Searles , Lamberto Rondoni , Denis J. Evans

We analyze theoretically the dynamics of a single colloidal particle in an externally applied electric field. The thermal motions of microions lead to an anisotropic, nonequilibrium source of noise, pro- portional to the field, in the…

统计力学 · 物理学 2009-07-03 Suropriya Saha , Sriram Ramaswamy

The spatial logistic branching process is a population dynamics model in which particles move on a lattice according to independent simple symmetric random walks, each particle splits into a random number of individuals at rate one, and…

概率论 · 数学 2024-09-10 Thomas Tendron

The physics of active systems of self-propelled particles, in the regime of a dense liquid state, is an open puzzle of great current interest, both for statistical physics and because such systems appear in many biological contexts. We…

软凝聚态物质 · 物理学 2017-10-26 Saroj Kumar Nandi , Nir S. Gov

Long-ranged correlations generically exist in non-equilibrium fluid systems. In the case of a non-equilibrium steady state caused by a temperature gradient the correlations are especially long-ranged and strong. The anomalous light…

统计力学 · 物理学 2016-11-23 T. R. Kirkpatrick , J. R. Dorfman , J. V. Sengers

The article presents new model of equilibrium in open chemical systems suggesting a linear dependence of the reaction shift from equilibrium in presence of the external thermodynamic force. Basic equation of this model contains traditional…

化学物理 · 物理学 2007-05-23 B. Zilbergleyt

We investigate the fluctuation dynamics of a probe around a deterministic motion induced by interactions with driven particles. The latter constitute the nonequilibrium medium in which the probe is immersed and is modelled as overdamped…

统计力学 · 物理学 2017-01-03 Christian Maes , Stefano Steffenoni

We perform an analytic study on the stochastic thermodynamics of a small classical particle trapped in a time dependent single-well potential in the highly underdamped limit. It is shown that the nonequilibrium probability density function…

统计力学 · 物理学 2019-06-26 Domingos S. P. Salazar , Sérgio A. Lira

A possible approach to description of the non equilibrium system has been proposed. Based on the Fokker-Plank equation in term of energy for non equilibrium distribution function of macroscopical system was obtained the stationary solution…

统计力学 · 物理学 2008-08-08 Bohdan Lev
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