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As a first step towards a successful field theory of Brownian particles in interaction, we study exactly the non-interacting case, its combinatorics and its non-linear time-reversal symmetry. Even though the particles do not interact, the…

Statistical Mechanics · Physics 2008-11-26 Andrea Velenich , Claudio Chamon , Leticia F. Cugliandolo , Dirk Kreimer

The transport properties of a spherical active Brownian particle in a periodic potential under heavy damping are considered. The self-propelled particle is subjected to the asymmetric potential, detailed balance is lost and the particles…

Soft Condensed Matter · Physics 2022-11-09 Arjun S R , Ronald Benjamin

The physics of activated escape of objects out of a metastable state plays a key role in diverse scientific areas involving chemical kinetics, diffusion and dislocation motion in solids, nucleation, electrical transport, motion of flux…

Adaptation and Self-Organizing Systems · Physics 2016-08-08 D. Hennig , C. Mulhern , L. Schimansky-Geier , G. P. Tsironis , P. Hänggi

When analyzing the particle-like excitations in quantum field theory it is natural to regard the field mode corresponding to the particle momentum as an open quantum system, together with the opposite momentum mode. Provided that the state…

Quantum Physics · Physics 2009-12-17 Daniel Arteaga

Biological microswimmers often inhabit a porous or crowded environment such as soil. In order to understand how such a complex environment influences their spreading, we numerically study non-interacting active Brownian particles (ABPs) in…

Soft Condensed Matter · Physics 2016-12-06 Maria Zeitz , Holger Stark

Active systems, which are driven out of equilibrium by local non-conservative forces, exhibit unique behaviors and structures with potential utility for the design of novel materials. An important and difficult challenge along the path…

Soft Condensed Matter · Physics 2022-08-09 Laura Tociu , Gregory Rassolov , Étienne Fodor , Suriyanarayanan Vaikuntanathan

Depletion interactions between colloidal particles dispersed in a fluid medium are effective interactions induced by the presence of other types of colloid. They are not instantaneous but build up in time. We show by means Brownian dynamics…

Soft Condensed Matter · Physics 2009-11-07 G. A. Vliegenthart , P. Van Der Schoot

A non-relativistic, charged-particle beam is placed into a crossed magnetic field. For such a system, the nonlinear electrostatic oscillations generation in the different degrees of the beam freedom may be triggered by the energy/momentum…

Plasma Physics · Physics 2019-07-03 A. R. Karimov , A. M. Bulygin , P. A. Murad

We construct a dynamical field theory for noninteracting Brownian particles in the presence of a quenched Gaussian random potential. The main variable for the field theory is the density fluctuation which measures the difference between the…

Disordered Systems and Neural Networks · Physics 2020-12-02 Wonsang Lee , Joonhyun Yeo

We study a model of Brownian particles which are pumped with energy by means of a non-linear friction function, for which different types are discussed. A suitable expression for a non-linear, velocity-dependent friction function is derived…

Statistical Mechanics · Physics 2016-08-31 Udo Erdmann , Werner Ebeling , Lutz Schimansky-Geier , Frank Schweitzer

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

Statistical Mechanics · Physics 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

Adopting the gauge-invariant but path-dependent variables formalism, we study the coupling of torsion fields with photons in the presence of an external background electromagnetic. We explicitly show that, in the case of a constant electric…

High Energy Physics - Theory · Physics 2010-03-19 Patricio Gaete , José A. Helaÿel-Neto

Theoretical studies of self-assembly processes and condensed phases in colloidal systems are often based on effective inter-particle potentials. Here we show that developing an effective potential for particles interacting with a limited…

Soft Condensed Matter · Physics 2009-11-13 Julio Largo , Piero Tartaglia , Francesco Sciortino

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

We consider two particles performing continuous-time nearest neighbor random walk on $\mathbb Z$ and interacting with each other when they are at neighboring positions. Typical examples are two particles in the partial exclusion process or…

Probability · Mathematics 2017-12-08 Gioia Carinci , Cristian Giardina , Frank Redig

We study a system of interacting particles in a periodically moving external potential, within the simplest possible description of paradigmatic symmetric exclusion process on a ring. The model describes diffusion of hardcore particles…

Statistical Mechanics · Physics 2014-04-17 Rakesh Chatterjee , Sakuntala Chatterjee , Punyabrata Pradhan , S. S. Manna

We examine a Hamiltonian system which represents an active Brownian particle that can move against an external force by drawing energy from an internal depot while immersed in a noisy and dissipative environment. The Hamiltonian consists of…

Adaptation and Self-Organizing Systems · Physics 2021-04-29 Timo Eichmann , Diego Fieguth , Daniel Brady , James R. Anglin

In the high persistence regime of non-inertial active Brownian particles (ABP), polarization becomes a relevant dynamical field. Based on a recently proposed kinetic description for ABP, we derive Navier-Stokes-like equations for the…

Soft Condensed Matter · Physics 2025-10-21 Martín Pinto-Goldberg , Rodrigo Soto

New techniques for evaluating the closed time path action for non-equilibrium quantum fields are presented. A derivative expansion is performed using a proper time kernel. Applications relevant to the scalar field theory of warm inflation…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ian G Moss

We investigate, within a local density functional theory formalism, the interactions between like-charged polyions immersed in a confined electrolyte. We obtain a simple condition for a repulsive effective pair potential, that can be…

Soft Condensed Matter · Physics 2009-10-31 E. Trizac