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At the macroscopic scale, many important models of collective motion fall into the class of kinematic flows for which both velocity and diffusion terms depend only on particle density. When total particle numbers are fixed and finite,…

适应与自组织系统 · 物理学 2022-04-12 Jeremy Worsfold , Tim Rogers , Paul Milewski

We study the fluctuation-induced dissipative dynamics of the quantized center of mass motion of a polarizable dielectric particle trapped near a surface. The particle's center of mass is treated as an open quantum system coupled to the…

量子物理 · 物理学 2020-03-18 Kanupriya Sinha , Yigit Subasi

By using recent developments for the Langevin dynamics of spatially asymmetric systems, we routinely generalize the Onsager-Machlup fluctuation theory of the second order in time. In this form, it becomes applicable to fluctuating…

统计力学 · 物理学 2016-12-28 Roman Belousov , E. G. D. Cohen

We study the dynamics of a tagged particle in a glassy system under shear. The recently developed integration through transients approach based on mode coupling theory, is continued to arrive at the equations for the tagged particle…

软凝聚态物质 · 物理学 2011-07-07 Matthias Krüger , Fabian Weysser , Matthias Fuchs

In this work we introduce correlated random walks on $\Z$. When picking suitably at random the coefficient of correlation, and taking the average over a large number of walks, we obtain a discrete Gaussian process, whose scaling limit is…

概率论 · 数学 2007-05-23 Enriquez Nathanael

While the density functional theory with integral equations techniques are very efficient tools in numerical analysis of complex fluids, an analytical insight into the phenomenon of effective interactions is still limited. In this paper we…

软凝聚态物质 · 物理学 2014-09-24 M. Majka , P. F. Góra

In this paper we study some thermal properties of quantum field theories in de Sitter space by means of holographic techniques. We focus on the static patch of de Sitter and assume that the quantum fields are in the standard Bunch-Davies…

高能物理 - 理论 · 物理学 2014-08-13 Willy Fischler , Phuc H. Nguyen , Juan F. Pedraza , Walter Tangarife

We use fluctuating hydrodynamics to analyze the dynamical properties in the non-equilibrium steady state of a diffusive system coupled with reservoirs. We derive the two-time correlations of the density and of the current in the…

统计力学 · 物理学 2016-11-23 Tridib Sadhu , Bernard Derrida

We present in a local form the time dependent effective description of a superfluid Fermi liquid which includes Landau damping effects at $T\neq 0$. This is achieved by the introduction of an additional variable, the quasiparticle…

量子气体 · 物理学 2011-05-10 Manuel Valle

We obtain solutions to conservation laws under any random initial conditions that are described by Gaussian stochastic processes (in some cases discretized). We analyze the generalization of Burgers' equation for a smooth flux function…

偏微分方程分析 · 数学 2018-05-14 Carey Caginalp

Motivated by the wide range of applicability of the fluctuation and dissipation phenomena in non-equilibrium systems, we provide a universal study scheme for the dissipation of the energy and the corresponding Brownian motion analysis of…

高能物理 - 理论 · 物理学 2018-09-26 Dimitrios Giataganas , Da-Shin Lee , Chen-Pin Yeh

We introduce a novel description of the dynamics of the order book of financial markets as that of an effective colloidal Brownian particle embedded in fluid particles. The analysis of a comprehensive market data enables us to identify all…

交易与市场微观结构 · 定量金融 2015-06-18 Yoshihiro Yura , Hideki Takayasu , Didier Sornette , Misako Takayasu

We study the statistical properties of the variation of the kinetic energy of a spherical Brownian particle that freely moves in an incompressible fluid at constant temperature. Based on the underdamped version of the generalized Langevin…

统计力学 · 物理学 2024-12-10 Juan Ruben Gomez-Solano

We consider the motion of an active Brownian particle with speed fluctuations in d-dimensions in the presence of both translational and orientational diffusion. We use an Ornstein-Uhlenbeck process for active speed generation. Using a…

统计力学 · 物理学 2022-05-02 Amir Shee , Debasish Chaudhuri

This work is concerned with a simple model for a polar fluid, a Gaussian field model based on the excess density and on the polarization. It is a convenient framework to implement the dielectric properties of correlated liquids that stem…

化学物理 · 物理学 2018-04-04 Hélène Berthoumieux

We study the current of particles that move independently in a common static random environment on the one-dimensional integer lattice. A two-level fluctuation picture appears. On the central limit scale the quenched mean of the current…

概率论 · 数学 2016-08-14 Jonathon Peterson , Timo Seppäläinen

Microscopically conserving reduced models of many-body systems have a long, highly successful history. Established theories of this type are the random-phase approximation for Coulomb fluids and the particle-particle ladder model for…

强关联电子 · 物理学 2019-07-19 Frederick Green

Slender bodies capable of spontaneous motion in the absence of external actuation in an otherwise quiescent fluid are common in biological, physical and technological contexts. The interplay between the spontaneous fluid flow, Brownian…

软凝聚态物质 · 物理学 2015-08-13 Abhrajit Laskar , R. Adhikari

Fluctuation Theorems are statements about the entropy of systems far from thermal equilibrium. In this Letter relativistic Fluctuation Theorems for Brownian motion are presented and proven. Though there is a known discretization dilemma…

统计力学 · 物理学 2007-05-23 Axel Fingerle

We define a correlation function that quantifies the spatial correlation of single-particle displacements in liquids and amorphous materials. We show for an equilibrium liquid that this function is related to fluctuations in a bulk…

软凝聚态物质 · 物理学 2009-10-31 Claudio Donati , Sharon C. Glotzer , Peter H. Poole