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In this paper we propose a model for open Markov chains that can be interpreted as a system of non-interacting particles evolving according to the rules of a Markov chain. The number of particles in the system is not constant, because we…

概率论 · 数学 2019-01-23 R. Salgado-Garcia

Understanding the dynamics of material objects advected by turbulent flows is a long standing question in fluid dynamics. In this perspective article we focus on the characterization of the statistical properties of non-interacting…

流体动力学 · 物理学 2024-03-18 Yaning Fan , Cheng Wang , Linfeng Jiang , Chao Sun , Enrico Calzavarini

In many biological systems, the movement of individual agents is commonly characterized as having multiple qualitatively distinct behaviors that arise from various biophysical states. This is true for vesicles in intracellular transport,…

亚细胞过程 · 定量生物学 2022-07-25 Maria-Veronica Ciocanel , John Fricks , Peter R. Kramer , Scott A. McKinley

We experimentally investigate the steady states of two granular assemblies differing in their material properties and allowed to exchange volume with each other under external agitation in the vicinity of their jamming transition. We…

软凝聚态物质 · 物理学 2010-02-01 F. Lechenault , Karen E. Daniels

We introduce a condition for the strong decoherence of a set of alternative histories of a closed quantum-mechanical system such as the universe. The condition applies, for a pure initial state, to sets of homogeneous histories that are…

广义相对论与量子宇宙学 · 物理学 2008-02-03 Murray Gell-Mann , James B. Hartle

Fluid-mediated interactions between particles in a vibrating fluid lead to both long range attraction and short range repulsion. The resulting patterns include hexagonally ordered micro-crystallites, time-periodic structures, and chaotic…

软凝聚态物质 · 物理学 2009-11-07 Greg A. Voth , B. Bigger , M. R. Buckley , W. Losert , M. P. Brenner , H. A. Stone , J. P. Gollub

Systems of classical continuous particles in the grand canonical ensemble interacting through purely attractive, yet stable, interactions are defined. By a lattice approximation, FKG ferromagnetic inequalities are shown to hold for such…

数学物理 · 物理学 2007-05-23 H. Gottschalk

We consider diffusion limited aggregation of particles of two different kinds. It is assumed that a particle of one kind may adhere only to another particle of the same kind. The particles aggregate on a linear substrate which consists of…

其他凝聚态物理 · 物理学 2015-05-20 E. B. Postnikov , A. B. Ryabov , A. Loskutov

We consider nonequilibrium transport in a simple chain of identical mechanical cells in which particles move around. In each cell, there is a rotating disc, with which these particles interact, and this is the only interaction in the model.…

统计力学 · 物理学 2008-07-15 Jean-Pierre Eckmann , Carlos Mejia-Monasterio , Emmanuel Zabey

Quantum field model of unstable particles with random mass is suggested to describe the finite-width effects in decay rate. Within the framework of this model we derive the convolution formula for a width of the channels with unstable…

高能物理 - 唯象学 · 物理学 2007-05-23 V. I. Kuksa

We study theoretically and numerically the elastic properties of hard sphere glasses, and provide a real-space description of their mechanical stability. In contrast to repulsive particles at zero-temperature, we argue that the presence of…

软凝聚态物质 · 物理学 2015-06-18 E. DeGiuli , E. Lerner , C. Brito , M. Wyart

The concepts of probability, statistics and stochastic theory are being successfully used in structural engineering. Markov Chain modelling is a simple stochastic process model that has found its application in both describing stochastic…

应用统计 · 统计学 2007-08-14 K. Balaji Rao

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

The modeling of the elastic properties of granular or nanoscale systems requires the foundations of the theory of elasticity to be revisited, as one explores scales at which this theory may no longer hold. The only cases for which a…

统计力学 · 物理学 2007-05-23 I. Goldhirsch , C. Goldenberg

When very small particles are suspended in a fluid in motion, they tend to follow the flow. How such tracer particles are mixed, transported, and dispersed by turbulent flow has been successfully described by statistical models. Heavy…

流体动力学 · 物理学 2023-12-21 J. Bec , K. Gustavsson , B. Mehlig

The past decade has witnessed the development and success of coarse-grained network models of proteins for predicting many equilibrium properties related to collective modes of motion. Curiously, the results are usually robust towards the…

分子网络 · 定量生物学 2008-09-23 Canan Atilgan , Ibrahim Inanc , Ali Rana Atilgan

A novel mechanism for the transport of microscale particles in viscous fluids is demonstrated. The mechanism exploits the trapping of such particles by rotational streaming cells established in the vicinity of an oscillating cylinder,…

流体动力学 · 物理学 2016-01-13 Kwitae Chong , Scott D. Kelly , Stuart T. Smith , Jeff D. Eldredge

The thermodynamic equilibrium conditions for compact structures composed by mass varying particles are discussed assuming that the so-called dynamical mass behaves like an additional extensive thermodynamic degree of freedom. It then…

广义相对论与量子宇宙学 · 物理学 2011-06-07 Alex E. Bernardini , O. Bertolami

Simulations of the structure and dynamics of fluid films confined to a thickness of a few molecular diameters are described. Confining walls introduce layering and in-plane order in the adjacent fluid. The latter is essential to transfer of…

mtrl-th · 物理学 2008-02-03 Peter A. Thompson , Mark O. Robbins , Gary S. Grest

We prove two equilibrium properties of a system of interacting atoms in three or higher dimensional continuous space. (i) If the particles interact via pair potentials of a nonnegative Fourier transform, their self-organization into…

数学物理 · 物理学 2023-05-31 Andras Suto