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We study a one dimensional gas of $N$ noninteracting diffusing particles in a harmonic trap, whose stiffness switches between two values $\mu_1$ and $\mu_2$ with constant rates $r_1$ and $r_2$ respectively. Despite the absence of direct…

Statistical Mechanics · Physics 2024-03-13 Marco Biroli , Manas Kulkarni , Satya N. Majumdar , Gregory Schehr

Over the past few years the displacement statistics of self-propelled particles has been intensely studied, revealing their long-time diffusive behavior. Here, we demonstrate that a concerted combination of boundary conditions and switching…

Soft Condensed Matter · Physics 2015-05-29 Andreas M. Menzel

In this Letter we study the interactions of the dissipative domain walls with dielectric particles. It is shown that particles can be steadily trapped by the moving domain walls. The influence of the ratchet effect on particle trapping is…

Optics · Physics 2020-08-26 D. A. Dolinina , A. S. Shalin , A. V. Yulin

We measure the free decay of a spatially periodic density profile in a normal fluid strongly interacting Fermi gas, which is confined in a box potential. This spatial profile is initially created in thermal equilibrium by a perturbing…

Quantum Gases · Physics 2022-03-04 Xin Wang , Xiang Li , Ilya Arakelyan , J. E. Thomas

We investigate simple one-dimensional driven diffusive systems with open boundaries. We are interested in the average on-site residence time defined as the time a particle spends on a given site before moving on to the next site. Using…

Biological Physics · Physics 2016-01-20 Joris J. B. Messelink , Robbie Rens , Mahsa Vahabi , Fred C. MacKintosh , Abhinav Sharma

We consider a large class of interacting particle systems in 1D described by an energy whose interaction potential is singular and non-local. This class covers Riesz gases (in particular, log gases) and applications to plasticity and…

Analysis of PDEs · Mathematics 2020-10-27 Masato Kimura , Patrick van Meurs

We extend a previously proposed deposition model with two kinds of particles, considering the restricted solid-on-solid condition. The probability of incidence of particle C (A) is p (1-p). Aggregation is possible if the top of the column…

Statistical Mechanics · Physics 2009-11-07 S. S. Botelho , F. D. A. Aarao Reis

We consider the trapping reaction A + B -> B in space dimension d=1, where the A and B particles have diffusion constants D_A, D_B respectively. We calculate the probability, Q(t), that a given A particle has not yet reacted at time t.…

Statistical Mechanics · Physics 2016-08-31 Lucian Anton , Alan J. Bray

We study the problem of diffusing particles which coalesce upon contact. With the aid of a non-perturbative renormalization group, we first analyze the dynamics emerging below the critical dimension two, where strong fluctuations imply…

Statistical Mechanics · Physics 2013-02-26 Anton A. Winkler , Erwin Frey

We study a generalization of the standard trapping problem of random walk theory in which particles move subdiffusively on a one-dimensional lattice. We consider the cases in which the lattice is filled with a one-sided and a two-sided…

Statistical Mechanics · Physics 2007-05-23 S. B. Yuste , L. Acedo

A simple theoretical approach is used to investigate active colloids at the free interface and near repulsive substrates. We employ dynamical density functional theory to determine the steady-state density profiles in an effective…

Soft Condensed Matter · Physics 2017-02-03 René Wittmann , Joseph M. Brader

Irreversible random sequential deposition of interacting particles is widely used to model aggregation phenomena in physical, chemical, and biophysical systems. We show that in one dimension the exact time dependent solution of such…

Statistical Mechanics · Physics 2019-06-07 Adrian Baule

A one dimensional stochastic exclusion process with two species of particles, $+$ and $-$, is studied where density of each species can fluctuate but the total particle density is conserved. From the exact stationary state weights we show…

Statistical Mechanics · Physics 2017-01-10 Urna Basu

A binary mixture of particles interacting with spherically-symmetric potentials leading to microsegregation is studied by theory and molecular dynamics (MD) simulations. We consider spherical particles with equal diameters and volume…

Soft Condensed Matter · Physics 2020-11-20 O. Patsahan , M. Litniewski , A. Ciach

In this paper, we construct under general assumptions the stochastic dynamics of an interacting particle system in a bounded domain $\Omega$ with sticky boundary. Under appropriate conditions on the interaction the constructed process…

Probability · Mathematics 2015-08-12 Robert Voßhall

We study a system of self-propelled disks that perform run-and-tumble motion, where particles can adopt more than one internal state. One of those internal states can be transmitted to another particle if the particle carrying this state…

Biological Physics · Physics 2019-12-30 Fernando Peruani , Gustavo Sibona

A simulation model is presented, comprising elastic spheres with a short range attraction. Besides conservative forces, radial- and shear friction, and radial noise are added. The model can be used to simulate colloids, granular solids and…

Soft Condensed Matter · Physics 2008-11-19 Robert D. Groot , Simeon D. Stoyanov

We examine the role of boundaries and the structure of nontrivial duality functions for three non conservative interacting particle systems in one dimension that model epidemic spreading: (i) the diffusive contact process (DCP), (ii) a…

Probability · Mathematics 2025-11-11 Chiara Franceschini , Ellen Saada , Gunter M. Schütz , Sonia Velasco

In this paper, we develop a large-$N$ field theory for a system of $N$ classical particles in one dimension at thermal equilibrium. The particles are confined by an arbitrary external potential, $V_\text{ex} (x)$, and repel each other via a…

Statistical Mechanics · Physics 2020-10-23 Avanish Kumar , Manas Kulkarni , Anupam Kundu

Density-dependent diffusion is a widespread phenomenon in nature. We have examined the density-dependent diffusion behavior of some biological processes such as tumor growth and invasion [23]. Here, we extend our previous work by developing…

Statistical Mechanics · Physics 2022-02-14 Ahmed M. Fouad , Marwa M. Fouad