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We consider oscillatory systems of interacting Hawkes processes introduced in Ditlevsen and Loecherbach (2017) to model multi-class systems of interacting neurons together with the diffusion approximations of their intensity processes. This…

概率论 · 数学 2017-09-28 Eva Löcherbach

The classical Lifshitz-Slyozov-Wagner theory of domain coarsening predicts asymptotically self-similar behavior for the size distribution of a dilute system of particles that evolve by diffusional mass transfer with a common mean field.…

材料科学 · 物理学 2015-06-25 Barbara Niethammer , Robert L. Pego

We consider a preferential growth model where particles are added one by one to the system consisting of clusters of particles. A new particle can either form a new cluster (with probability q) or join an already existing cluster with a…

统计力学 · 物理学 2009-10-31 L. Kullmann , J. Kertesz

Dissipation in granular media leads to interesting phenomena as there are cluster formation and crystallization in non-equilibrium dynamical states. The freely cooling system is examined concerning the energy decay and the cluster evolution…

统计力学 · 物理学 2009-11-10 S. Miller , S. Luding

The Foldy-Lax equation is generalized for a medium which consists of particles with both electric and magnetic responses. The result is used to compute fields scattered from ensembles of particles. The computational complexity is reduced by…

光学 · 物理学 2021-09-22 Lang Wang , Ilia L. Rasskazov , P. Scott Carney

Embedded clusters, which are embedded in bulk materials and different from the surroundings in structures, should be common in materials. This paper studies resonance of such clusters. This work is stimulated by a recent experimental…

经典物理 · 物理学 2007-05-23 Zhenying Wen , Hong Zhao

We study the dynamic scaling properties of an aggregation model in which particles obey both diffusive and driven ballistic dynamics. The diffusion constant and the velocity of a cluster of size $s$ follow $D(s) \sim s^\gamma$ and $v(s)…

统计力学 · 物理学 2009-10-31 E. K. O. Hellen , T. P. Simula , M. J. Alava

Via molecular dynamics simulations we have studied kinetics of vapor-"solid" phase transition in an active matter model in which self-propulsion is introduced via the well-known Vicsek rule. The overall density of the particles is chosen in…

软凝聚态物质 · 物理学 2020-11-05 Subhajit Paul , Arabinda Bera , Subir K. Das

The distribution of the number of clusters as a function of mass M and age T suggests that clusters get eroded or dispersed in a regular way over time, such that the cluster number decreases inversely as an approximate power law with T…

星系天体物理 · 物理学 2015-05-18 Bruce G. Elmegreen , Deidre A. Hunter

It is known that purely repulsive self-propelled colloids can undergo bulk liquid-vapor phase separation. In experiments and large scale simulations, however, more complex steady states are also seen, comprising a dynamic population of…

软凝聚态物质 · 物理学 2018-10-03 Elsen Tjhung , Cesare Nardini , Michael E. Cates

We study a class of growth processes in which clusters evolve via exchange of particles. We show that depending on the rate of exchange there are three possibilities: I) Growth: Clusters grow indefinitely; II) Gelation: All mass is…

统计力学 · 物理学 2007-05-23 E. Ben-Naim , P. L. Krapivsky

We use molecular dynamics simulations to study a model of the gelation transition with a dynamic bond forming procedure. After establishing evidence for 3D percolation as the static universality class, we turn our attention to the dynamics…

统计力学 · 物理学 2007-05-23 Sune Norhoj Jespersen

A better understanding of the optical properties of random photonic structures is beneficial for many applications, such as random lasing, optical imaging and photovoltaics. Here we investigated the light transmission properties of…

光学 · 物理学 2015-10-28 Michele Bellingeri , Francesco Scotognella

We experimentally study particle scale dynamics during segregation of a bidisperse mixture under oscillatory shear. Large and small particles show an underlying asymmetry that is dependent on the local particle concentration, with small…

We examine the dynamic spreading of a dense overdamped suspension of particles under power law repulsive potentials, often called Riesz gases. That is, potentials that decay with distance as 1/r^k where k\in (-2,\infty]. Depending on the…

软凝聚态物质 · 物理学 2025-01-13 Ido Fanto , Naomi Oppenheimer

We derive diffusive macroscopic equations for the particle and energy density of a system whose time evolution is described by a kinetic equation for the one particle position and velocity function f(r,v,t) that consists of a part that…

统计力学 · 物理学 2018-11-14 Pedro L. Garrido , Joel L. Lebowitz

Selected theoretical developments in modeling of deposition of submicrometer size (submicron) particles on solid surfaces, with and without surface diffusion, of interest in colloid, polymer, and certain biological systems, are surveyed. We…

材料科学 · 物理学 2008-10-16 Vladimir Privman

The effect of turbulence on snow precipitation is not incorporated into present weather forecasting models. Here we show evidence that turbulence is in fact a key influence on both fall speed and spatial distribution of settling snow. We…

流体动力学 · 物理学 2021-02-24 Cheng Li , Kaeul Lim , Tim Berk , Aliza Abraham , Michael Heisel , Michele Guala , Filippo Coletti , Jiarong Hong

Diffusive transport of a particle in spatially correlated random energy landscape having exponential density of states has been considered. We exactly calculate the diffusivity in the nondispersive quasi-equilibrium transport regime and…

无序系统与神经网络 · 物理学 2018-02-14 S. V. Novikov

Discrete element method simulations of confined bidisperse granular shear flows elucidate the balance between diffusion and segregation that can lead to either mixed or segregated states, depending on confining pressure. Results indicate…

软凝聚态物质 · 物理学 2018-09-24 Alexander M. Fry , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow