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Under sufficient permanent random covalent bonding, a fluid of atoms or small molecules is transformed into an amorphous solid network. Being amorphous, local structural properties in such networks vary across the sample. A natural order…

无序系统与神经网络 · 物理学 2009-10-31 Konstantin A. Shakhnovich , Paul M. Goldbart

We study stochastic particle systems with stationary product measures that exhibit a condensation transition due to particle interactions or spatial inhomogeneities. We review previous work on the stationary behaviour and put it in the…

统计力学 · 物理学 2014-02-19 Paul Chleboun , Stefan Grosskinsky

We investigate the physical properties of equilibrium sequences of non-self-gravitating surfaces that characterize thick disks around a rotating deformed compact object described by a stationary generalization of the static q-metric. The…

广义相对论与量子宇宙学 · 物理学 2025-02-14 Shokoufe Faraji , Audrey Trova , Hernando Quevedo

A classical particle system coupled with a thermostat driven by an external constant force reaches its steady state when the ensemble-averaged drift velocity does not vary with time. The statistical mechanics of such a system is derived…

统计力学 · 物理学 2020-12-02 Jie Yao , Yanting Wang

We suggest the existence of systems in which the statistics of a particle changes with the quantum level it occupies. The occupation numbers in thermal equilibrium depend on a continuous statistical parameter that interpolates between…

量子物理 · 物理学 2022-10-27 M. N. Chernodub

We continue our investigation of the configuration space of general relativity begun in I (gr-qc/9411009). Here we examine the Hamiltonian constraint when the spatial geometry is momentarily static (MS). We show that MS configurations…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Jemal Guven , Niall Ó Murchadha

We study the formulation of statistical mechanics on noncommutative classical phase space, and construct the corresponding canonical ensemble theory. For illustration, some basic and important examples are considered in the framework of…

高能物理 - 理论 · 物理学 2020-05-06 Mojtaba Najafizadeh , Mehdi Saadat

The physical properties of granular materials have been extensively studied in recent years. So far, however, there exists no theoretical framework which can explain the observations in a unified manner beyond the phenomenological jamming…

软凝聚态物质 · 物理学 2013-05-29 S. Henkes , B. Chakraborty

There is a common view in thermodynamics that the behavior of a macroscopic system can be described by only a few state variables. Although this is true for many cases, it is unclear whether it is meaningful to ask how many state variables…

统计力学 · 物理学 2022-01-05 Koun Shirai

We formulate the laws governing the dynamics of a crystalline solid in which a continuous distribution of dislocations is present. Our formulation is based on new differential geometric concepts, which in particular relate to Lie groups. We…

微分几何 · 数学 2013-01-01 Demetrios Christodoulou , Ivo Kaelin

The study of granular crystals, metamaterials that consist of closely packed arrays of particles that interact elastically, is a vibrant area of research that combines ideas from disciplines such as materials science, nonlinear dynamics,…

斑图形成与孤子 · 物理学 2017-10-11 C. Chong , Mason A. Porter , P. G. Kevrekidis , C. Daraio

For substitutional alloys, typically refered to as classical discrete systems under constant composition, we theoretically examine the role of hidden structure information on evolution of nonlinearity (i.e., correspondence between a set of…

统计力学 · 物理学 2022-02-25 Koretaka Yuge

The problem of the calculation of equilibrium thermodynamic properties and the establishment of statistical-thermodynamically-consistent finite bound-state partition functions in nonideal multi-component plasma systems is revised within the…

等离子体物理 · 物理学 2015-05-20 Mofreh R. Zaghloul

We study equilibrium properties of a system of particles in two dimensions, interacting with pair and three body potentials, which undergoes a structural transition from a square to a rhombic lattice and thus constitutes a simple model for…

材料科学 · 物理学 2009-11-07 Madan Rao , Surajit Sengupta

The statistical-mechanical study of the equilibrium properties of fluids, starting from the knowledge of the interparticle interaction potential, is essential to understand the role that microscopic interaction between individual particles…

软凝聚态物质 · 物理学 2025-10-07 Ana M. Montero

Condensed matter is thermodynamically unstable in a vacuum. That is what thermodynamics tells us through the relation showing that condensed matter at temperatures above absolute zero always has non-zero vapour pressure. This instability…

斑图形成与孤子 · 物理学 2020-06-02 Julyan H. E. Cartwright

We study the statistical mechanics of the self-gravitating gas at thermal equilibrium with two kinds of particles. We start from the partition function in the canonical ensemble which we express as a functional integral over the densities…

天体物理学 · 物理学 2009-11-07 H. J. de Vega , J. A. Siebert

We study the non-linear BGK model in 1d coupled to a spatially varying thermostat. We show existence, local uniqueness and linear stability of a steady state when the linear coupling term is large compared to the non-linear self interaction…

偏微分方程分析 · 数学 2023-05-03 Josephine Evans , Angeliki Menegaki

We discuss in detail the distributions of energy, radial pressure and tangential pressure inside the nucleon. In particular, this discussion is carried on in both the instant form and the front form of dynamics. Moreover we show for the…

高能物理 - 唯象学 · 物理学 2019-02-08 Cédric Lorcé , Hervé Moutarde , Arkadiusz P. Trawiński

We consider a stochastic heat conduction model for solids composed by N interacting atoms. The system is in contact with two heat baths at different temperature $T_\ell$ and $T_r$. The bulk dynamics conserve two quantities: the energy and…

统计力学 · 物理学 2009-11-13 Cedric Bernardin