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The diffusion of finite-size hard-core interacting particles in two- or three-dimensional confined domains is considered in the limit that the confinement dimensions become comparable to the particle's dimensions. The result is a nonlinear…

Mathematical Physics · Physics 2017-03-23 Maria Bruna , S. Jonathan Chapman

The experiments of Leptos et al. [Phys. Rev. Lett. 103, 198103 (2009)] show that the displacements of small particles affected by swimming microorganisms achieve a non-Gaussian distribution, which nevertheless scales diffusively -- the…

Soft Condensed Matter · Physics 2017-10-26 Jean-Luc Thiffeault

Individual-based models of chemical or biological dynamics usually consider individual entities diffusing in space and performing a birth-death type dynamics. In this work we study the properties of a model in this class where the birth…

Statistical Mechanics · Physics 2009-11-11 Emilio Hernandez-Garcia , Cristobal Lopez

A system far from equilibrium is characterized by unconventional many-body dynamical effects, which can lead to anomalous density fluctuations and mass transport. Interestingly, these structural and dynamic features often emerge…

Statistical Mechanics · Physics 2010-03-09 David A. Head , Hajime Tanaka

This paper exposes a novel exploratory formalism, which end goal is the numerical simulation of the dynamics of a cloud of particles weakly or strongly coupled with a turbulent fluid. Giventhe large panel of expertise of the list of…

Analysis of PDEs · Mathematics 2019-10-21 Ludovic Goudenège , Adam Larat , Julie Llobell , Marc Massot , David Mercier , Olivier Thomine , Aymeric Vié

We present a simple model for the turbulent kinetic energy behavior of subsonic plasma turbulence undergoing isotropic three-dimensional compression, such as may exist in various inertial confinement fusion experiments or astrophysical…

Plasma Physics · Physics 2018-02-21 Seth Davidovits , Nathaniel J. Fisch

Conventional approaches for simulating steady-state distributions of particles under diffusive and advective transport at high P\'eclet numbers involve solving the diffusion and advection equations in at least two dimensions. Here, we…

The reaction of volatile matter plays an important role in the process of bringing matter from the surface of the planet to the atmosphere. Therefore, by simulating the mixing and chemical reaction process of volatile matter in the…

Earth and Planetary Astrophysics · Physics 2023-01-06 Zihan Huang , Xuewei Yang

Quantum dynamics of a particle in the vicinity of a hyperbolic point is considered. Expectation values of dynamical variables are calculated, and the singular behavior is analyzed. Exponentially fast extension of quantum dynamics is…

Quantum Physics · Physics 2015-06-12 A. Iomin

We introduce a simple model of active transport for an ensemble of particles driven by an external shear flow. Active refers to the fact that the flow of the particles is modified by the distribution of particles itself. The model consists…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 Cristobal Lopez

We study the motion of a massive particle in a quenched random environment at zero temperature. The distribution of particle positions is investigated numerically and special focus is placed on the mean stopping distance and its…

Statistical Mechanics · Physics 2009-11-07 Sune Jespersen , Hans C. Fogedby

The transport of charged particles in the heliosphere and the interstellar medium is governed by the interaction of particles and magnetic irregularities. For the transport of protons a rather simple model using a linear Alfv\'en wave…

High Energy Astrophysical Phenomena · Physics 2015-12-16 Cedric Schreiner , Felix Spanier

We introduce two discrete models of a collection of colliding particles with stored momentum and study the asymptotic growth of the mean-square displacement of an active particle. We prove that the models are superdiffusive in one dimension…

Probability · Mathematics 2020-01-08 Edward Crane , Sean Ledger , Balint Toth

Reaction-diffusion processes are the foundational model for a diverse range of complex systems, ranging from biochemical reactions to social agent-based phenomena. The underlying dynamics of these systems occur at the individual…

Statistical Mechanics · Physics 2025-10-15 Mauricio J. del Razo , Margarita Kostré

Research done during the previous century established our Standard Cosmological Model. There are many details still to be filled in, but few would seriously doubt the basic premise. Past surveys have revealed that the large-scale…

Astrophysics · Physics 2008-11-26 Bernard J. T. Jones , Vicent J. Martinez , Enn Saar , Virginia Trimble

In this thesis, I introduce a new bottom-up approach to quantum field theory and collider physics, beginning from the observable energy flow: the energy distribution produced by particle collisions. First, I establish a metric space for…

High Energy Physics - Phenomenology · Physics 2020-08-13 Eric M. Metodiev

The effect of electrostatic microturbulence on fast particles rapidly decreases at high energy, but can be significant at moderate energy. Previous studies found that, in addition to changes in the energetic particle density, this results…

Plasma Physics · Physics 2018-12-26 George J. Wilkie

The purpose of this review is to analyze the physics at play in particle resuspension in order to bring insights into the rich complexity of this common but challenging concern. Following the more-is-different vision, this is performed by…

Fluid Dynamics · Physics 2023-04-05 Christophe Henry , Jean-Pierre Minier , Sara Brambilla

The dynamic properties of a classical tracer particle in a random, disordered medium are investigated close to the localization transition. For Lorentz models obeying Newtonian and diffusive motion at the microscale, we have performed…

Soft Condensed Matter · Physics 2008-04-29 Felix Höfling , Tobias Munk , Erwin Frey , Thomas Franosch

We consider a one-dimensional array of particles interacting via an infinite well potential. We explore the properties of energy spreading from an initial state where only a group of particles has non-zero velocities while others are…

Statistical Mechanics · Physics 2025-04-07 Arkady Pikovsky