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We consider a Brownian particle in a ``meandering'' periodic potential when the ambient temperature is a periodically or stochastically varying function of time. Though far from equilibrium, the linear response of the particle to an…

Statistical Mechanics · Physics 2009-11-10 Ralf Eichhorn , Peter Reimann

At thermal equilibrium, intensive quantities like temperature and pressure have to be uniform throughout the system, restricting inhomogeneous systems composed of different phases. The paradigmatic example is the coexistence of vapor and…

Statistical Mechanics · Physics 2021-01-26 Thomas Speck

One of the most remarkable observations in dense active matter systems is the appearance of long-range velocity correlations without any explicit aligning interaction (of e.g.\ Vicsek type). Here we show that this kind of long range…

Soft Condensed Matter · Physics 2023-02-28 Leila Abbaspour , Rituparno Mandal , Peter Sollich , Stefan Klumpp

We study the behaviour of two Brownian particles coupled by an elastic harmonic force in a quenched disordered medium. We found that to first order in disorder strength, the relative motion weakens (with respect to the reference state of a…

Statistical Mechanics · Physics 2009-11-07 M. Schulz , S. Stepanow , S. Trimper

Tracking Brownian particles is often employed to map the energy landscape they explore. Such measurements have been exploited to study many biological processes and interactions in soft materials. Yet, video tracking is irremediably…

Soft Condensed Matter · Physics 2018-08-01 Michał Bogdan , Thierry Savin

The steady state and phase ordering kinetics in a pure active Borwnian particle system are studied in recent years. In binary mixture of active and passive Brownian particles passive particles are used as probe to understand the properties…

Soft Condensed Matter · Physics 2021-08-23 Shambhavi Dikshit , Shradha Mishra

We investigate the interplay between chirality and confinement induced by the presence of an external potential. For potentials having radial symmetry, the circular character of the trajectories induced by the chiral motion reduces the…

Soft Condensed Matter · Physics 2023-11-08 Lorenzo Caprini , Hartmut Löwen , Umberto Marini Bettolo Marconi

The goal of this thesis is to obtain new exact results for models of active particles in one dimension, focusing on two different aspects: their behavior in the presence of long-range interactions and their first-passage properties. In the…

Statistical Mechanics · Physics 2025-09-23 Léo Touzo

Active Brownian Particles are self-propelled particles that move in a dissipative medium subject to random forces, or noise . Additionally, they can be confined by an external field and/or they can interact with one another. The external…

Populations and Evolution · Quantitative Biology 2007-05-23 Udo Erdmann , Werner Ebeling , Lutz Schimansky-Geier , Anke Ordemann , Frank Moss

We derive from first principles the mechanical pressure $P$, defined as the force per unit area on a bounding wall, in a system of spherical, overdamped, active Brownian particles at density $\rho$. Our exact result relates $P$, in closed…

Soft Condensed Matter · Physics 2015-07-10 A. P. Solon , J. Stenhammar , R. Wittkowski , M. Kardar , Y. Kafri , M. E. Cates , J. Tailleur

In this note we revisit the recent developments concerning rigorous results on the virial series of a continuous system of classical particles interacting via a stable and tempered pair potential and we provide new lower bounds for its…

Mathematical Physics · Physics 2020-05-22 Aldo Procacci

The Landau-de Gennes free energy is used to study theoretically the interaction of parallel cylindrical colloidal particles trapped at a nematic-isotropic interface. We find that the effective interaction potential is non-monotonic. The…

Soft Condensed Matter · Physics 2015-06-24 D. Andrienko , M. Tasinkevych , S. Dietrich

Combining experiments on active colloids, whose propulsion velocity can be controlled via a feedback loop, and theory of active Brownian motion, we explore the dynamics of an overdamped active particle with a motility that depends…

Based on primitive model computer simulations with explicit microions, we calculate the effective interactions in a binary mixture of charged colloids with species $A$ and $B$ for different size and charge ratios. An optimal pairwise…

Soft Condensed Matter · Physics 2009-03-12 Allahyarov Löwen

We study experimentally-using Janus colloids-and theoretically-using Active Brownian Particles- the sedimentation of dilute active colloids. We first confirm the existence of an exponential density profile. We show experimentally the…

Soft Condensed Matter · Physics 2018-11-14 Felix Ginot , Alexandre Solon , Yariv Kafri , Christophe Ybert , Julien Tailleur , Cecile Cottin-Bizonne

Recently, we have derived an effective Cahn-Hilliard equation for the phase separation dynamics of active Brownian particles by performing a weakly non-linear analysis of the effective hydrodynamic equations for density and polarization…

Statistical Mechanics · Physics 2015-06-15 Thomas Speck , Andreas M. Menzel , Julian Bialké , Hartmut Löwen

Brownian transport of self-propelled overdamped microswimmers (like Janus particles) in a two-dimensional periodically compartmentalized channel is numerically investigated for different compartment geometries, boundary collisional…

Biological Physics · Physics 2013-07-02 Pulak Kumar Ghosh , Vyacheslav R. Misko , Fabio Marchesoni , Franco Nori

The Schroedinger equation for N particles interacting through effective pair potentials is derived from the massless Nelson model with ultraviolet cutoffs. We consider a scaling limit where the particles are slow and heavy, but, in contrast…

Mathematical Physics · Physics 2015-06-26 Stefan Teufel

We study 1S0 pairing gaps in neutron and nuclear matter as well as in finite nuclei on the basis of microscopic two-nucleon interactions. Special attention is paid to the consistency of the pairing interaction and normal self-energy…

Nuclear Theory · Physics 2009-10-29 K. Hebeler , T. Duguet , T. Lesinski , A. Schwenk

Brownian motion of an array of harmonically coupled particles subject to a periodic substrate potential and driven by an external bias is investigated. In the linear response limit (small bias), the coupling between particles may enhance…

Statistical Mechanics · Physics 2009-10-31 Zhigang Zheng , Bambi Hu , Gang Hu