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We investigate the influence of external forces on the collective dynamics of interacting active Brownian particles in two as well as three spatial dimensions. Via explicit coarse graining, we derive predictive models that are applicable…

Soft Condensed Matter · Physics 2022-02-10 Jens Bickmann , Stephan Bröker , Raphael Wittkowski

We present a complete reciprocal description of particle motion inside multi-component fluids that extends the conventional Onsager formulation of non-equilibrium transport to systems where the thermodynamic forces are non-uniform on the…

Soft Condensed Matter · Physics 2019-05-01 Jérôme Burelbach

We present a constructive derivation of a time-dependent deformation functional theory -- a collective variable approach to the nonequalibrium quantum many-body problem. It is shown that the motion of infinitesimal fluid elements (i.e. a…

Strongly Correlated Electrons · Physics 2011-09-19 I. V. Tokatly

We develop the kinetic theory of the flux-carrying Brownian motion recently introduced in the context of open quantum systems. This model constitutes an effective description of two-dimensional dissipative particles violating both…

Statistical Mechanics · Physics 2022-07-27 Antonio A. Valido

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…

Soft Condensed Matter · Physics 2021-06-24 Nicholas Lauersdorf , Thomas Kolb , Moslem Moradi , Ehssan Nazockdast , Daphne Klotsa

In this paper we discuss in detail the nonlinear equations of the mean--field approximation and their connection to the exact many--body Schr\"odinger equation. Then we analyze the mean--field approach and the nonlinear dynamics of a…

Nuclear Theory · Physics 2007-05-23 V. R. Manfredi , L. Salasnich

The linear response of non-equilibrium systems with Markovian dynamics satisfies a generalized fluctuation-dissipation relation derived from time symmetry and antisymmetry properties of the fluctuations. The relation involves the sum of two…

Statistical Mechanics · Physics 2011-01-07 Juan Ruben Gomez-Solano , Artyom Petrosyan , Sergio Ciliberto , Christian Maes

We address the gas, liquid, and crystal phase behaviour of active Brownian particles in three dimensions. The nonequilibrium force balance at coexistence leads to equality of state functions for which we use power functional approximations.…

Soft Condensed Matter · Physics 2024-02-28 Sophie Hermann , Matthias Schmidt

A new and very general technique for simulating solid-fluid suspensions is described; its most important feature is that the computational cost scales linearly with the number of particles. The method combines Newtonian dynamics of the…

comp-gas · Physics 2009-10-22 Anthony J. C. Ladd

Many-body theory is largely based on self-consistent equations that are constructed in terms of the physical quantity of interest itself, for example the density. Therefore, the calculation of important properties such as total energies or…

Materials Science · Physics 2015-10-28 Adrian Stan , Pina Romaniello , Santiago Rigamonti , Lucia Reining , J. A. Berger

Recent advances in quantum technologies and related experiments have created a need for highly accurate, versatile, and computationally efficient simulation techniques for the dynamics of open quantum systems. Long-lived correlation effects…

Quantum Physics · Physics 2026-01-09 Meng Xu , Vasilii Vadimov , J. T. Stockburger , J. Ankerhold

We consider finite systems of interacting Brownian particles including active friction in the framework of nonlinear dynamics and statistical/stochastic theory. First we study the statistical properties for $1-d$ systems of masses connected…

Statistical Mechanics · Physics 2007-05-23 Werner Ebeling

The concept of effective depletion forces between two fixed big colloidal particles in a bath of small particles is generalized to a non-equilibrium situation where the bath of small Brownian particles is flowing around the big particles…

Soft Condensed Matter · Physics 2009-11-10 J. Dzubiella , H. Lowen , C. N. Likos

We establish diffusion and fractional Brownian motion approximations for motions in a Markovian Gaussian random field with a nonzero mean.

Probability · Mathematics 2007-05-23 Albert Fannjiang , Tomasz Komorowski

We introduce the idea of {\it collisional models} for Brownian particles, in which a particle is sequentially placed in contact with distinct thermal environments and external forces. Thermodynamic properties are exactly obtained,…

Statistical Mechanics · Physics 2020-10-07 Angel L. L. Stable , Carlos E. F. Noa , William G. C. Oropesa , C. E. Fiore

Rheological properties of dense flows of hard particles are singular as one approaches the jamming threshold where flow ceases, both for aerial granular flows dominated by inertia, and for over-damped suspensions. Concomitantly, the…

Soft Condensed Matter · Physics 2015-06-17 E. DeGiuli , G. Düring , E. Lerner , M. Wyart

We derive a mathematical model for the motion of several insulating rigid bodies through an electrically conducting fluid. Starting from a universal model describing this phenomenon in generality, we elaborate (simplifying) physical…

Mathematical Physics · Physics 2024-02-13 Jan Scherz , Anja Schlömerkemper

A meshfree Lagrangian method for the fluctuating hydrodynamic equations (FHEs) with fluid-structure interactions is presented. Brownian motion of the particle is investigated by direct numerical simulation of the fluctuating hydrodynamic…

Dynamical Systems · Mathematics 2015-12-15 Anamika Pandey , Steffen Hardt , Axel Klar , Sudarshan Tiwari

In the last decade, the study of pressure in active matter has attracted growing attention due to its fundamental relevance to nonequilibrium statistical physics. Active matter systems are composed of particles that consume energy to…

Soft Condensed Matter · Physics 2025-08-14 Guo Yu , Ruiyao Li , Fukang Li , Jiayu Zhang , Xiyue Li , Zequ Chen , Joscha Mecke , Yongxiang Gao

We provide a consistent statistical-mechanical treatment for describing the thermodynamics and the structure of fluids embedded in the hyperbolic plane. In particular, we derive a generalization of the virial equation relating the bulk…

Statistical Mechanics · Physics 2009-05-18 François Sausset , Gilles Tarjus , Pascal Viot
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