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Irreversible diffusion limited cluster aggregation (DLCA) of hard spheres was simulated using Brownian cluster dynamics. Bound spheres were allowed to move freely within a specified range, but no bond breaking was allowed. The structure and…

软凝聚态物质 · 物理学 2009-03-25 Sujin Babu , Jean-Christophe Gimel , Taco Nicolai

We investigate the statistics of the mean magnetisation, of its large deviations and persistent large deviations in simple coarsening systems. We consider more specifically the case of the diffusion equation, of the Ising chain at zero…

统计力学 · 物理学 2009-10-30 I Dornic , C Godreche

We study by Monte Carlo simulations the short-time exponent $\theta$ in an antiferromagnetic Ising system for which the magnetisation is conserved but the sublattice magnetisation (which is the order parameter in this case) is not. This…

统计力学 · 物理学 2007-05-23 Parongama Sen , Subinay Dasgupta

The zero-temperature Glauber dynamic is used to investigate the persistence probability $P(t)$ in the randomic two-dimensional ferromagnetic Ising model on a Voronoi-Delaunay tessellation. We consider the coupling factor $J$ varying with…

统计力学 · 物理学 2007-05-23 F. W. S. Lima , R. N. Costa Filho , U. M. S. Costa

We study the relaxation of the local ferromagnetic order in the transverse field quantum Ising chain with power-law decaying interactions $1/r^{\alpha}$. We prepare the system in the GHZ state and study the time evolution of the probability…

强关联电子 · 物理学 2022-04-20 Nishan Ranabhat , Mario Collura

We measure the persistence exponent in a phase separating two-dimensional spin system with non-conserved dynamics quenched in a region with four coexisting stripe phases. The system is an Ising model with nearest neighbor,…

统计力学 · 物理学 2015-06-25 Emilio N. M. Cirillo , Giuseppe Gonnella , Sebastiano Stramaglia

Diffusion-limited cluster aggregation (DLCA) is a well established model for the formation of highly porous low-density non-equilibrium structures. One of the main conclusions of the previous studies considering this model is that the…

软凝聚态物质 · 物理学 2019-01-15 Swetlana Jungblut , Jan-Ole Joswig , Alexander Eychmüller

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

We present a new a-priori estimate for discrete coagulation-fragmentation systems with size-dependent diffusion within a bounded, regular domain confined by homogeneous Neumann boundary conditions. Following from a duality argument, this…

偏微分方程分析 · 数学 2010-11-23 José A. Cañizo , Laurent Desvillettes , Klemens Fellner

We present results from extensive Monte Carlo (MC) simulations of domain growth in ferromagnets and binary mixtures with quenched disorder. These are modeled by the "random-bond Ising model" and the "dilute Ising model" with either…

无序系统与神经网络 · 物理学 2009-11-11 Raja Paul , Sanjay Puri , Heiko Rieger

We study electromigration in a driven diffusive lattice gas (DDLG) whose continuous Monte Carlo dynamics generate higher particle mobility in areas with lower particle density. At low vacancy concentrations and low temperatures, vacancy…

凝聚态物理 · 物理学 2009-10-22 L. K. Wickham , J. P. Sethna

We study the dynamics of a class of two dimensional stochastic processes, depending on two parameters, which may be interpreted as two different temperatures, respectively associated to interfacial and to bulk noise. Special lines in the…

统计力学 · 物理学 2009-10-31 J-M Drouffe , C Godreche

Persistence in coarsening 1D spin systems with a power law interaction $r^{-1-\sigma}$ is considered. Numerical studies indicate that for sufficiently large values of the interaction exponent $\sigma$ ($\sigma\geq 1/2$ in our simulations),…

统计力学 · 物理学 2009-10-31 Iaroslav Ispolatov

We study the dynamics of domain growth when multipole moments of the order parameter are conserved. Following a quench into the ordered phase of the Ising model, the typical size of domains grows with time as $R(t) \sim t^{1/2}$ in the…

统计力学 · 物理学 2026-04-14 Jacopo Gliozzi , Federico Balducci , Giuseppe De Tomasi

We study the following 1D two-species reaction diffusion model : there is a small concentration of B-particles with diffusion constant $D_B$ in an homogenous background of W-particles with diffusion constant $D_W$; two W-particles of the…

凝聚态物理 · 物理学 2009-10-28 Cécile Monthus

We study the thermal equilibrium of nonlinear Klein-Gordon chains at the limit of small coupling (anticontinuum limit). We show that the persistence distribution associated to the local energy density is a useful tool to study the…

统计力学 · 物理学 2009-11-13 Jean Farago

We consider extended slow-fast systems of N interacting diffusions. The typical behavior of the empirical density is described by a nonlinear McKean-Vlasov equation depending on , the scaling parameter separating the time scale of the slow…

偏微分方程分析 · 数学 2021-08-09 Julien Barré , Cedric Bernardin , Raphaël Chétrite , Yash Chopra , Mauro Mariani

We study phase ordering kinetics in symmetric and asymmetric binary mixtures, undergoing an order-disorder transition below the critical temperature. Microscopically, we model the kinetics via antiferromagnetic Ising model with Kawasaki…

统计力学 · 物理学 2017-11-09 Prasenjit Das , Tanusri Saha-Dasgupta , Sanjay Puri

For the two dimensional kinetic Ising model at finite temperature, the local mean magnetisation $M_t=t^{-1}\int_{0}^t\sigma(t')\d t'$, simply related to the fraction of time spent by a given spin in the positive direction, has a limiting…

统计力学 · 物理学 2009-10-31 J-M Drouffe , C Godreche

We investigate energy diffusion in long-range interacting spin systems, where the interaction decays algebraically as $V(r) \propto r^{-\alpha}$ with the distance $r$ between the sites. We consider prototypical spin systems, the transverse…

统计力学 · 物理学 2025-10-07 Hideaki Nishikawa , Keiji Saito