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In this paper, we study the dynamics of a finite number of spherical bubbles in a compressible fluid within a bounded open domain of R 3 . The fluid-bubble interaction is described by a system of nonlinear partial differential equations…

Analysis of PDEs · Mathematics 2026-04-10 Fabien Lespagnol , Matthieu Hillairet

This study uses a combination of stochastic optimization, statistical mechanical theory, and molecular simulation to test the extent to which the long-time dynamics of a single tracer particle can be enhanced by rationally modifying its…

Soft Condensed Matter · Physics 2011-11-24 James Carmer , Gaurav Goel , Mark J. Pond , Jeffrey R. Errington , Thomas M. Truskett

We study the interaction of two parallel rigid cylinders on the surface of a thin elastic film supported on a pool of liquid. The excess energy of the surface due to the curvature of the stretched film induces attraction of the cylinders…

Soft Condensed Matter · Physics 2014-08-08 Aditi Chakrabarti , Manoj K. Chaudhury

Long-range interacting systems are omnipresent in nature. We investigate here the collective dynamical behavior in a long-range interacting system consisting of coupled Stuart-Landau limit cycle oscillators. In particular, we analyze the…

Adaptation and Self-Organizing Systems · Physics 2019-05-01 K. Sathiyadevi , V. K. Chandrasekar , D. V. Senthilkumar , M. Lakshmanan

Self-propelled particles can exhibit surprising non-equilibrium behaviors, and how they interact with obstacles or boundaries remains an important open problem. Here we show that chemically propelled micro-rods can be captured, with little…

Soft Condensed Matter · Physics 2014-02-21 Daisuke Takagi , Jeremie Palacci , Adam B. Braunschweig , Michael J. Shelley , Jun Zhang

The motion of microorganisms in their natural habitat is strongly influenced by their propulsion mechanisms, geometrical constraints, and random fluctuations. Here, we study numerically the first-passage-time (FPT) statistics of…

Soft Condensed Matter · Physics 2025-09-19 Yanis Baouche , Magali Le Goff , Thomas Franosch , Christina Kurzthaler

Transitions from reversible to irreversible or fluctuating states above a critical density and shear amplitude have been extensively studied in non-thermal cyclically sheared suspensions and amorphous solids. Here, we propose that the same…

Statistical Mechanics · Physics 2026-01-21 C. Reichhardt , C. J. O. Reichhardt

Long-range interacting systems such as nitrogen vacancy centers in diamond and trapped ions serve as useful experimental setups to probe a range of nonequilibrium many-body phenomena. In particular, via driving, various effective…

Disordered Systems and Neural Networks · Physics 2018-05-16 Wen Wei Ho , Ivan Protopopov , Dmitry A. Abanin

We consider a new kinetic equation for systems with a multistep potential of interaction proposed by us recently in Physica A 234 (1996) 89. This potential consists of the hard sphere part and a system of attractive and repulsive walls.…

Statistical Mechanics · Physics 2007-05-23 M. V. Tokarchuk , I. P. Omelyan , A. E. Kobryn

We study, by using liquid-state theories and Monte Carlo simulation, the behavior of systems of classical particles interacting through a finite pair repulsion supplemented with a longer range attraction. Any such potential can be driven…

Soft Condensed Matter · Physics 2018-04-27 Gianpietro Malescio , Alberto Parola , Santi Prestipino

In many applications one is interested in finding the stability regions (basins of attraction) of some stationary states (attractors). In this paper we show that one cannot compute, in general, the basins of attraction of even very regular…

Logic · Mathematics 2014-09-04 Daniel S. Graça , Ning Zhong

We study two-dimensional triangular-network models, which have degenerate ground states composed of straight or randomly-zigzagging stripes and thus sub-extensive residual entropy. We show that attraction is responsible for the inversion of…

Soft Condensed Matter · Physics 2018-02-26 Fabio Leoni , Yair Shokef

In this paper we demonstrate the feasibility and utility of an augmented version of the Gibbs ensemble Monte Carlo method for computing the phase behavior of systems with strong, extremely short-ranged attractions. For generic potential…

Soft Condensed Matter · Physics 2007-05-23 P. Charbonneau , D. R. Reichman

Extensions to kinetic theory and hydrodynamic models are proposed that account for the existence of multi-particle contacts. In the presence of multi-particle contacts (involving elastic, reversible, potential contact energy), dissipation…

Statistical Mechanics · Physics 2007-05-23 Stefan Luding , Alexander Goldshtein

We use dynamic light scattering and computer simulations to study equilibrium dynamics and dynamic heterogeneity in concentrated suspensions of colloidal hard spheres. Our study covers an unprecedented density range and spans seven decades…

Numerical simulations in two space dimensions are used to examine the dynamics, transport, and equilibrium behaviors of a neutrally buoyant circular object immersed in an active suspension within a larger closed circular container. The…

Fluid Dynamics · Physics 2023-04-12 Jonathan B. Freund

Dense suspensions of self-propelled rod-like particles exhibit a fascinating variety of non-equilibrium phenomena. By means of computer simulations of a minimal model for rigid self-propelled colloidal rods with variable shape we explore…

Soft Condensed Matter · Physics 2015-06-04 H. H. Wensink , H. Löwen

Retarded or frequency-dependent hydrodynamic interactions are relevant for velocity relaxation of colloidal particles immersed in a fluid, sufficiently close that their flow patterns interfere. The interactions are also important for…

Fluid Dynamics · Physics 2019-06-26 B. U. Felderhof

Collective states of inanimate particles self-assemble through physical interactions and thermal motion. Despite some phenomenological resemblance, including signatures of criticality, the autonomous dynamics that binds motile agents into…

Soft Condensed Matter · Physics 2023-02-01 Xiangzun Wang , Pin-Chuan Chen , Klaus Kroy , Viktor Holubec , Frank Cichos

In this work we study a kinetic model of active particles with delayed dynamics, and its limit when the number of particles goes to infinity. This limit turns out to be related to delayed differential equations with random initial…

Analysis of PDEs · Mathematics 2020-06-17 Juan Pablo Pinasco , Mauro Rodriguez Cartabia , Nicolas Saintier