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A thermomechanical, polar continuum formulation under finite strains is proposed for anisotropic materials using a multiplicative decomposition of the deformation gradient. First, the kinematics and conservation laws for three dimensional,…

数值分析 · 数学 2024-12-20 Reza Ghaffari , Roger A. Sauer

We study in detail the hydrodynamic theories describing the transition to collective motion in polar active matter, exemplified by the Vicsek and active Ising models. Using a simple phenomenological theory, we show the existence of an…

A modeling framework for the internal conformational dynamics and external mechanical movement of single biological macromolecules in aqueous solution at constant temperature is developed. Both the internal dynamics and external movement…

生物物理 · 物理学 2007-05-23 Hong Qian

Based on the recent work [1,2], we formulate the first law and the second law of stochastic thermodynamics in the framework of general relativity. These laws are established for a charged Brownian particle moving in a heat reservoir and…

广义相对论与量子宇宙学 · 物理学 2025-01-09 Tao Wang , Yifan Cai , Long Cui , Liu Zhao

We study the two-dimensional overdamped motion of an active particle whose orientational dynamics is subject to fractional Brownian noise, whereas its position is affected by self-propulsion and Brownian fluctuations. From a Langevin-like…

统计力学 · 物理学 2020-07-21 Juan Ruben Gomez-Solano , Francisco J. Sevilla

Examples of self propulsion in strongly fluctuating environment is abound in nature, e.g., molecular motors and pumps operating in living cells. Starting from Langevin equation of motion, we develop a fluctuating thermodynamic description…

统计力学 · 物理学 2015-02-20 Chandrima Ganguly , Debasish Chaudhuri

We present a theory that combines the framework of irreversible thermodynamics with modified integral theorems to model arbitrarily curved and deforming membranes immersed in bulk fluid solutions. We study the coupling between the mechanics…

软凝聚态物质 · 物理学 2025-09-29 Ahmad M. Alkadri , Kranthi K. Mandadapu

We derive explicit forms of Markovian transition probability densities for the velocity space, phase-space and the Smoluchowski configuration-space Brownian motion of a charged particle in a constant magnetic field. By invoking a…

统计力学 · 物理学 2009-10-31 R. Czopnik , P. Garbaczewski

We study the stochastic motion of an intruder in a dilute driven granular gas. All particles are coupled to a thermostat, representing the external energy source, which is the sum of random forces and a viscous drag. The dynamics of the…

统计力学 · 物理学 2010-04-27 Alessandro Sarracino , Dario Villamaina , Giulio Costantini , Andrea Puglisi

Using the Hamiltonian formulation, we have attempted to obtain the equations of motion of systems with internal angular momentum that are moving with respect to a reference system when subjected to an interaction. This interaction involves…

化学物理 · 物理学 2007-05-23 Manuel Dorado Gonzalez

The deviatoric stresses of colloidal suspensions are routinely calculated using the expression introduced by Batchelor [J. Fluid Mech. 83, 97--117 (1977)]. We show by example that the central feature in its derivation, the thermodynamic…

软凝聚态物质 · 物理学 2020-06-01 Duraivelan Palanisamy , Wouter K. den Otter

This article analyzes the formulation of space-time continuous hyperbolic hydrodynamic models for systems of interacting particles moving on a lattice, by connecting their local stochastic lattice dynamics to the formulation of an…

统计力学 · 物理学 2018-06-11 Massimiliano Giona

We study quasi two-dimensional, monodisperse systems of active Brownian particles (ABPs) for a range of activities, stiffnesses, and densities. We develop a microscopic, analytical method for predicting the dense phase structure formed…

软凝聚态物质 · 物理学 2021-06-24 Nicholas Lauersdorf , Thomas Kolb , Moslem Moradi , Ehssan Nazockdast , Daphne Klotsa

The existing polar continuum theory contains unresolved indeterminacies in the spherical part of the couple-stress tensor. This severely restricts its applicability in the study of micro and nano-scale solid and fluid mechanics and, perhaps…

流体动力学 · 物理学 2010-09-17 Ali R. Hadjesfandiari , Gary F. Dargush

A system of N Brownian particles suspended in a nonuniform heat bath is treated as a thermodynamic system whith internal degrees of freedom, in this case their velocities and coordinates. Applying the scheme of non-equilibrium…

凝聚态物理 · 物理学 2016-08-15 J. M. Rubí , P. Mazur

We present a general hydrodynamic theory for active fluids, capable of describing living matter, that conserve center of mass or dipole moment. Imposition of dipole or center-of-mass conservation has been reported to yield peculiar…

软凝聚态物质 · 物理学 2026-02-25 Anish Chaudhuri , Lokrshi Prawar Dadhichi , Arijit Haldar

Ionic electro-active polymer (Nafion for example) can be used as sensor or actuator. To this end, a thin film of the water-saturated material is sandwiched between two electrodes. Water saturation causes a quasi-complete dissociation of the…

应用物理 · 物理学 2017-08-18 Mireille Tixier , Joël Pouget

We use a metric invariant stress theory of continuum mechanics to formulate a simple generalization of the the basic variables of electrodynamics and Maxwell's equations to general differentiable manifolds of any dimension, thus viewing…

数学物理 · 物理学 2014-12-16 Reuven Segev

In this review, a theoretical description is provided for the solid (granular) phase of the gas-solid flows that are the focus of this book. Emphasis is placed on the fundamental concepts involved in deriving a macroscopic hydrodynamic…

统计力学 · 物理学 2009-10-02 James W. Dufty , Aparna Baskaran

We consider the properties of a one dimensional fluid of brownian inertial hard-core particles, whose microscopic dynamics is partially damped by a heat-bath. Direct interactions among the particles are represented as binary, instantaneous…

统计力学 · 物理学 2007-05-23 Marini Bettolo Marconi Umberto , Tarazona Pedro