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We consider coupled diffusions in $n$-dimensional space and on a compact manifold and the resulting effective advective-diffusive motion on large scales in space. The effective drift (advection) and effective diffusion are determined as a…

统计力学 · 物理学 2018-12-19 Raffaele Marino , Erik Aurell

We investigate numerically the finite-size scaling properties of the domain wall energies in the three-dimensional gauge glass model. From the analysis of results obtained for systems of linear sizes $3\le L\le 8$ we conclude that the…

无序系统与神经网络 · 物理学 2007-05-23 J. Maucourt , D. R. Grempel

Biomolecular condensates constitute a newly recognized form of spatial organization in living cells. Although many condensates are believed to form as a result of phase separation, the physicochemical properties that determine the phase…

生物物理 · 物理学 2023-07-11 William M. Jacobs

We suggest a novel approach to treating symbiotic relations between biological species or social entities. The main idea is the characterisation of symbiotic relations of coexisting species through their mutual influence on their respective…

种群与进化 · 定量生物学 2015-06-22 V. I. Yukalov , E. P. Yukalova , D. Sornette

While quasi-two-dimensional (layered) materials can be highly anisotropic, their asymptotic long-distance behavior generally reflects the properties of a fully three dimensional phase of matter. However, certain topologically ordered…

强关联电子 · 物理学 2020-09-30 Trithep Devakul , S. L. Sondhi , S. A. Kivelson , Erez Berg

This paper conducts research on the established model and presents the main conclusions . Firstly, by separately considering the infectivity of each of the two infectious diseases and the infectivity of the population simultaneously…

种群与进化 · 定量生物学 2025-03-13 Yang Liu

The contact process with diffusion (PCPD) defined by the binary reactions 2 B -> 3 B, 2 B -> 0 and diffusive particle spreading exhibits an unusual active to absorbing phase transition whose universality class has long been disputed.…

统计力学 · 物理学 2020-10-28 Shengfeng Deng , Wei Li , Uwe C. Täuber

We calculate the phase behavior of hard spheres with size polydispersity, using accurate free energy expressions for the fluid and solid phases. Cloud and shadow curves, which determine the onset of phase coexistence, are found exactly by…

凝聚态物理 · 物理学 2007-05-23 M. Fasolo , P. Sollich

Instabilities and pattern formation is the rule in nonequilibrium systems. Selection of a persistent lengthscale, or coarsening (increase of the lengthscale with time) are the two major alternatives. When and under which conditions one…

统计力学 · 物理学 2010-01-25 Chaouqi Misbah , Paolo Politi

A nearest neighbour spin pair of the quasi-two-dimensional three-state Potts model interacts with the strength $J(>0)$ in the $xy$-plane and with $\lambda J$ $(0\le \lambda \ll 1)$ in the $z$-axis. The phase transition is of second-order…

凝聚态物理 · 物理学 2015-06-25 Atsushi Yamagata

The spatio-temporally periodic (STP) potential is interesting in Physics due to the intimate coupling between its time and spatial components. In this paper we begin with a brief discussion of the dynamical behaviors of a single particle in…

混沌动力学 · 物理学 2014-09-04 Owen D. Myers , Junru Wu , Jeffrey S. Marshall , Christopher M. Danforth

We study the structure of the phase diagram for systems consisting of 2- and 3- level particles dipolarly interacting with a 1-mode electromagnetic field, inside a cavity, paying particular attention to the case of a finite number of…

量子物理 · 物理学 2015-02-04 Eduardo Nahmad-Achar , Sergio Cordero , Octavio Castaños , Ramón López-Peña

A dynamical transition separating intermittent and continuous flow is observed in a sandpile model, with scaling functions relating the transport behaviors between both regimes. The width of the active zone diverges with system size in the…

统计力学 · 物理学 2009-10-31 Alvaro Corral , Maya Paczuski

We study a new non-equilibrium dynamical model: a marked continuous contact model in $d$-dimensional space ($d \ge 3$). We prove that for certain values of rates (the critical regime) this system has the one-parameter family of invariant…

数学物理 · 物理学 2016-02-18 Yuri Kondratiev , Sergey Pirogov , Elena Zhizhina

Within the framework of the gauge-invariant, but path-dependent, variables formalism, we study the connection between scale symmetry breaking and confinement in three-dimensional gluodynamics. We explicitly show that the static potential…

高能物理 - 理论 · 物理学 2008-11-26 Patricio Gaete , José A. Helaÿel-Neto

We consider a general class of (intersecting) loop models in D dimensions, including those related to high-temperature expansions of well-known spin models. We find that the loop models exhibit some interesting features - often in the…

统计力学 · 物理学 2007-05-23 L. Chayes , Leonid P. Pryadko , Kirill Shtengel

We consider three-state cellular automata in two dimensions in which two colored states, blue and red, compete for control of the empty background, starting from low initial densities $p$ and $q$. When the dynamics of both colored types are…

概率论 · 数学 2024-05-24 Janko Gravner , David Sivakoff

In this work, we apply phase field simulations to examine the coarsening behavior of morphologically complex two-phase microstructures in which the phases have highly dissimilar mobilities, a condition approaching that found in experimental…

材料科学 · 物理学 2022-06-10 W. Beck Andrews , Peter W. Voorhees , Katsuyo Thornton

Newton's third law, actio = reactio, is a foundational statement of classical mechanics. However, in natural and living systems, this law appears to be routinely violated for constituents interacting in a nonequilibrium environment. Here,…

软凝聚态物质 · 物理学 2023-05-30 Yu-Jen Chiu , Ahmad K. Omar

We present a comprehensive numerical study of the phase behavior and dynamics of a three-dimensional active dumbbell system with attractive interactions. We demonstrate that attraction is essential for the system to exhibit nontrivial…

软凝聚态物质 · 物理学 2024-01-10 C. B. Caporusso , G. Negro , A. Suma , P. Digregorio , L. N. Carenza , G. Gonnella , L. F. Cugliandolo