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The nonequilibrium phase transition in a system of diffusing, coagulating particles in the presence of a steady input and evaporation of particles is studied. The system undergoes a transition from a phase in which the average number of…

统计力学 · 物理学 2009-11-10 R. Rajesh

In trapped Bose-Einstein condensates (BECs), \emph{condensate growth} refers to the process in which an increasing number of quasi-particles are immediately transferred from the non-condensate state (the thermal cloud) into the condensate…

数学物理 · 物理学 2025-12-23 Gigliola Staffilani , Minh-Binh Tran

The effect of introducing a mass dependent diffusion rate ~ m^{-alpha} in a model of coagulation with single-particle break up is studied both analytically and numerically. The model with alpha=0 is known to undergo a nonequilibrium phase…

统计力学 · 物理学 2009-11-07 R. Rajesh , Dibyendu Das , Bulbul Chakraborty , Mustansir Barma

In the context of the Ginzburg--Landau theory for critical phenomena, we consider the Euclidean $\lambda \phi ^4+\eta \phi^6$ model bounded by two parallel planes, a distance $L$ separating them. This is supposed to describe a sample of a…

超导电性 · 物理学 2009-11-11 C. A. Linhares , A. P. C. Malbouisson , Y. W. Milla , I. Roditi

We introduce a prime number generator in the form of a stochastic algorithm. The character of such algorithm gives rise to a continuous phase transition which distinguishes a phase where the algorithm is able to reduce the whole system of…

计算复杂性 · 计算机科学 2009-11-13 Lucas Lacasa , Bartolo Luque , Octavio Miramontes

We investigate the fragmentation process of solid materials with crystalline and amorphous phases using the discrete element method. Damage initiates inside spherical samples above the contact zone in a region where the circumferential…

We are interested in studying the stationary solutions and phase transitions of aggregation equations with degenerate diffusion of porous medium-type, with exponent $1 < m < \infty$. We first prove the existence of possibly infinitely many…

偏微分方程分析 · 数学 2020-07-13 José A. Carrillo , Rishabh S. Gvalani

We discuss the role and the treatment of polarization effects in many-body systems of charged conducting clusters and apply this to the statistical fragmentation of Na-clusters. We see a first order microcanonical phase transition in the…

凝聚态物理 · 物理学 2016-08-15 O. Schapiro , P. J. Kuntz , K. Möhring , P. A. Hervieux , D. H. E. Gross , M. E. Madjet

This article is devoted to the study of certain models for phase transitions involving nonlocal energies. A first part is concerned with to the asymptotic analysis of a system of fractional elliptic equations of Allen-Cahn type as a…

偏微分方程分析 · 数学 2025-06-26 Thomas Gabard , Vincent Millot

An individual-based model of an infinite system of point particles in $\mathbb{R}^d$ is proposed and studied. In this model, each particle at random produces a finite number of new particles and disappears afterwards. The phase space for…

动力系统 · 数学 2015-10-27 Agnieszka Tanaś

The transition law of every exchangeable Feller process on the space of countable graphs is determined by a $\sigma$-finite measure on the space of $\{0,1\}\times\{0,1\}$-valued arrays. In discrete-time, this characterization amounts to a…

概率论 · 数学 2015-09-23 Harry Crane

We study flocking in one dimension, introducing a lattice model in which particles can move either left or right. We find that the model exhibits a continuous nonequilibrium phase transition from a condensed phase, in which a single `flock'…

统计力学 · 物理学 2009-10-31 O. J. O'Loan , M. R. Evans

Heavy nuclei bombarded with protons and deuterons in the 1 GeV range have a large probability of undergoing a process of evaporation and fission; less frequently, the prompt emission of few intermediate-mass fragments can also be observed.…

核理论 · 物理学 2015-09-25 P. Napolitani , M. Colonna

We present results from density functional theory and computer simulations that unambiguously predict the occurrence of first-order freezing transitions for a large class of ultrasoft model systems into cluster crystals. The clusters…

软凝聚态物质 · 物理学 2009-11-11 Bianca M. Mladek , Dieter Gottwald , Gerhard Kahl , Martin Neumann , Christos N. Likos

We address the crystallization of monodisperse hard spheres in terms of the properties of finite- size crystalline clusters. By means of large scale event-driven Molecular Dynamics simulations, we study systems at different packing…

This study theoretically considers the motion of N identical inelastic particles between two oscillating walls. The particles' average energy increases abruptly at certain critical filling fractions, wherein the system changes into a…

数据分析、统计与概率 · 物理学 2011-01-31 Fei Fang Chung , Sy-Sang Liaw , Wei Chun Chang

A mathematical model to study the flow evolution in RB convection laden with finite-sized particles after a flow perturbation is developed with an Euler-Lagrange viewpoint. A linear analysis is conducted by combining the averaged flow-scale…

流体动力学 · 物理学 2023-10-20 Dai Shi

Phase fluctuations in finite thickness layered superconducting films are studied theoretically. The model consists of a set of layers, coupled to each other via a gradient-like term in the phase-only action. It is shown that the effective…

无序系统与神经网络 · 物理学 2010-12-23 Y. Dubi , R. R. Biswas , A. V. Balatsky

We introduce detector-level entanglement, a unified entanglement concept for identical particles that takes into account the possible deletion of many-particle which-way information through the detection process. The concept implies a…

Phase separation may be driven by the minimization of a suitable free energy ${\cal F}$. This is the case, e.g., for diblock copolimer melts, where ${\cal F}$ is minimized by a steady periodic pattern whose wavelength $\lambda_{GS}$ depends…

统计力学 · 物理学 2015-09-14 Paolo Politi , Alessandro Torcini