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The diffusion of a particle in a crowded environment typically proceeds through three regimes: for very short times the particle diffuses freely until it collides with an obstacle for the first time, while for very long times diffusion the…

生物物理 · 物理学 2019-10-09 Nguiya P. Neo , Gary W. Slater

The critical relaxation from the low-temperature ordered state of the three-dimensional fully frustrated Ising model on a simple cubic lattice has been studied using the short time dynamics method. Particles with the periodic boundary…

统计力学 · 物理学 2016-11-10 V. A. Mutailamov , A. K. Murtazaev

Random-walk Monte Carlo simulations are widely used to predict the optical properties of complex, disordered materials. In presence of large heterogeneities (e.g., spatially-extended nonscattering regions in a turbid environment), an…

光学 · 物理学 2025-04-10 Loïc Tran , Benjamin Askenazi , Kevin Vynck

This work presents a numerical investigation on the nonlinear wave dynamics of tensegrity beams in 1D, 2D and 3D arrangements. The simulation of impact loading on a chain of tensegrity prisms and lumped masses allows us to apply on a…

斑图形成与孤子 · 物理学 2019-05-02 Andrea Micheletti , Giuseppe Ruscica , Fernando Fraternali

By means of two-dimensional contact dynamics simulations, we analyze the vibrational dynamics of a confined granular layer in response to harmonic forcing. We use irregular polygonal grains allowing for strong variability of solid fraction.…

经典物理 · 物理学 2016-08-16 Emilien Azema , Farhang Radjaï , Robert Peyroux , Frédéric Dubois , Gilles Saussine

In order to solve quantum field theory in a non-perturbative way, Lagrangian lattice simulations have been very successful. Here we discuss a recently proposed alternative Hamiltonian lattice formulation - the Monte Carlo Hamiltonian. In…

高能物理 - 格点 · 物理学 2007-05-23 H. Kröger , X. Q. Luo , K. J. M. Moriarty

Explicit time integration schemes coupled with Galerkin discretizations of time-dependent partial differential equations require solving a linear system with the mass matrix at each time step. For applications in structural dynamics, the…

数值分析 · 数学 2024-03-15 Yannis Voet , Espen Sande , Annalisa Buffa

Self-aggregation of tropical convection is a universal feature observed in a diverse range of atmospheric environments. Several preceding models conceptualized the self-aggregation of convection as a phase transition driven by collisions…

大气与海洋物理 · 物理学 2025-04-23 Takuya Jinno , Hiroaki Miura

Using a mapping of compact polymers on the Manhattan lattice to spanning trees, we calculate exactly the average number of bends at infinite temperature. We then find, in a high temperature approximation, the energy of the system as a…

统计力学 · 物理学 2010-03-12 Armin Rahmani , Andrea Velenich , Claudio Chamon

The totally asymmetric simple exclusion process (TASEP) is a stochastic model for the unidirectional dynamics of interacting particles on a $1$D-lattice that is much used in systems biology and statistical physics. Its master equation…

统计力学 · 物理学 2024-08-01 Kilian Pioch , Thomas Kriecherbauer , Michael Margaliot , Lars Grüne

In the Bona-Masso formulation, Einstein equations are written as a set of flux conservative first order hyperbolic equations that resemble fluid dynamics equations. Based on this formulation, we construct a lattice Boltzmann model for…

计算物理 · 物理学 2016-02-17 E. Ilseven , M. Mendoza

Implicit samplers are algorithms for producing independent, weighted samples from multi-variate probability distributions. These are often applied in Bayesian data assimilation algorithms. We use Laplace asymptotic expansions to analyze two…

数值分析 · 数学 2014-10-24 Jonathan Goodman , Kevin K. Lin , Matthias Morzfeld

Simple random coverage models, well studied in Euclidean space, can also be defined on a general compact metric space. By analogy with the geometric models, and with the discrete coupon collector's problem and with cover times for finite…

概率论 · 数学 2021-02-01 David J. Aldous

A diffusion-deposition model for glassy dynamics in compacting granular systems is treated by time scaling and by a method that provides the exact asymptotic (long time) behavior. The results include Vogel-Fulcher dependence of rates on…

统计力学 · 物理学 2009-11-07 Robin Stinchcombe , Martin Depken

We develop a simple recursive approach to treat reversible condensation polymerization with cyclization. Based upon a minimum set of balance equations, the law of mass action, Gaussian chain statistics, and the assumption of independent…

软凝聚态物质 · 物理学 2023-02-10 Michael Lang , Kiran Suresh Kumar

We investigate the slow dynamics in gelling systems by means of MonteCarlo simulations on the cubic lattice of a minimal statistical mechanics model. By opportunely varying some model parameter we are able to describe a crossover from the…

软凝聚态物质 · 物理学 2015-06-24 E. Del Gado , A. Fierro , L. de Arcangelis , A. Coniglio

One of the basic problems in discrete geometry is to determine the most efficient packing of congruent replicas of a given convex set $K$ in the plane or in space. The most commonly used measure of efficiency is density. Several types of…

度量几何 · 数学 2016-08-14 András Bezdek , Włodzimierz Kuperberg

The aging dynamics and the fluctuation-dissipation relation between the spontaneous diffusion induced by a random noise and the drift motion induced by a small stirring force are numerically investigated in a 3D schematic model of…

统计力学 · 物理学 2009-10-31 M. Sellitto

We study the relaxation process in a simple glass-former - the KA lattice gas model. We show that, for this model, structural relaxation is due to slow percolation of regions of co-operatively moving particles, which leads to heterogeneous…

统计力学 · 物理学 2009-11-13 Pinaki Chaudhuri , Srikanth Sastry , Walter Kob

To analyze nonlinear dynamic systems, we developed a new technique based on the square matrix method. We propose this technique called the \convergence map" for generating particle stability diagrams similar to the frequency maps widely…

加速器物理 · 物理学 2023-06-07 Li Hua Yu , Yoshiteru Hidaka , Victor Smaluk
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