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We introduce an interacting particle system that models the spread of an epidemic in terms of heterogeneous diffusive dynamics, rather than exogenous contact and transmission rates at the population level as in classical compartmental…

Probability · Mathematics 2026-05-20 Eliana Fausti , Andreas Sojmark

We study the dynamics and escape of charged particles initially orbiting a weakly magnetized Kerr black hole after they get kicked in the direction normal to the orbit. The case of neutral particles is analysed first and the escape…

General Relativity and Quantum Cosmology · Physics 2014-10-17 A. M. Al Zahrani

We use an effective Hamiltonian to characterize particle dynamics and find escape rates in a periodically kicked Hamiltonian. We study a model of particles in storage rings that is described by a chaotic symplectic map. Ignoring the…

Statistical Mechanics · Physics 2017-07-31 Archishman Raju , Sayan Choudhury , David L. Rubin , Amie Wilkinson , James P. Sethna

At finite concentrations of reacting molecules, kinetics of diffusion-controlled reactions is affected by intra-reactant interactions. As a result, multi-particle reaction statistics cannot be deduced from single-particle results. Here we…

Statistical Mechanics · Physics 2019-08-23 Tal Agranov , Baruch Meerson

We study an interacting system of $N$ classical particles on a line at thermal equilibrium. The particles are confined by a harmonic trap and repelling each other via pairwise interaction potential that behaves as a power law $\propto…

Statistical Mechanics · Physics 2019-09-10 Sanaa Agarwal , Abhishek Dhar , Manas Kulkarni , Anupam Kundu , Satya N. Majumdar , David Mukamel , Gregory Schehr

We study numerically the phases and dynamics of a dense collection of self-propelled particles with soft repulsive interactions in two dimensions. The model is motivated by recent in vitro experiments on confluent monolayers of migratory…

Soft Condensed Matter · Physics 2015-05-28 Silke Henkes , Yaouen Fily , M. Cristina Marchetti

In this paper we consider three classes of interacting particle systems on $\mathbb Z$: independent random walks, the exclusion process, and the inclusion process. We allow particles to switch their jump rate (the rate identifies the type…

We experimentally investigate the escape from a metastable state over a fluctuating barrier of a physical system. The system is switching between two states under electronic control of a dichotomous noise. We measure the escape time and its…

Statistical Mechanics · Physics 2009-10-31 Rosario N. Mantegna , Bernardo Spagnolo

In the present work we have studied collectives of active disks with an energy depot, moving in the two-dimensional plane and interacting via excluded volume. The energy depot accounts for the extraction of energy taking place at the level…

Soft Condensed Matter · Physics 2024-07-04 Juan Pablo Miranda , Demian Levis , Chantal Valeriani

We study the dynamics of non-aligning, non-interacting self-propelled particles confined to a box in two dimensions. In the strong confinement limit, when the persistence length of the active particles is much larger than the size of the…

Soft Condensed Matter · Physics 2016-01-15 Yaouen Fily , Aparna Baskaran , Michael F. Hagan

Odd-diffusive systems are characterized by transverse responses and exhibit unconventional behaviors in interacting systems. To address the dynamical interparticle rearrangements in a minimal system, we here exactly solve the problem of two…

Statistical Mechanics · Physics 2024-07-19 Amelie Langer , Abhinav Sharma , Ralf Metzler , Erik Kalz

We use Stokesian Dynamics simulations to study the microscopic motion of particles suspended in fluids passing through porous media. We construct model porous media with fixed spherical particles, and allow mobile ones to move through this…

Disordered Systems and Neural Networks · Physics 2009-10-31 Jysoo Lee , Joel Koplik

Self-propelled point-like particles move along circular trajectories when their translocation velocity is constant and the angular velocity related to their orientation vector is also constant. We investigate the collective behavior of…

Biological Physics · Physics 2014-02-04 Yingzi Yang , Feng Qiu , Gerhard Gompper

The persistent character of the motion of active particles gives rise to accumulation at boundaries. I investigate the problem of run-and-tumble swimmers confined in a 1D box with hard walls, reporting expressions for the particles…

Statistical Mechanics · Physics 2022-06-08 Luca Angelani

We consider collective dynamics of self-propelling particles in two dimensions. They can align themselves according to the direction of propulsion of their neighbours, together with a random perturbation (i.e. rotational fluctuation). They…

Soft Condensed Matter · Physics 2019-04-01 Shubhashis Rana , Md. Samsuzzaman , Arnab Saha

Consider non-intersecting Brownian motions on the real line, starting from the origin at t=0, with a number of particles forced to reach p distinct target points at time t=1. This work shows that the transition probability, that is the…

Probability · Mathematics 2009-11-03 Mark Adler , Jonathan Delepine , Pierre van Moerbeke , Pol Vanhaecke

We analyse the collective dynamics of self-propelled particles in the large density regime where passive particles undergo a kinetic arrest to an amorphous glassy state. We capture the competition between self-propulsion and crowding…

Statistical Mechanics · Physics 2014-06-11 Ludovic Berthier

We consider a microscopic field theoretical approach for interacting active nematic particles. With only steric interactions the self-propulsion strength in such systems can lead to different collective behaviour, e.g., synchronized…

Soft Condensed Matter · Physics 2021-02-04 Veit Krause , Axel Voigt

We study a system composed of two parallel totally asymmetric simple exclusion processes with open boundaries, where the particles move in the two lanes in opposite directions and are allowed to jump to the other lane with rates inversely…

Statistical Mechanics · Physics 2007-08-23 Robert Juhasz

We consider the dynamic escape of a small packet of ultracold atoms launched from within an optical dipole trap. Based on a theoretical analysis of the underlying nonlinear dynamics, we predict that fractal behavior can be seen in the…

Atomic Physics · Physics 2009-11-13 Kevin A. Mitchell , Daniel A. Steck