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As first shown by H. S. Green in 1952, the entropy of a classical fluid of identical particles can be written as a sum of many-particle contributions, each of them being a distinctive functional of all spatial distribution functions up to a…

统计力学 · 物理学 2021-03-18 Santi Prestipino , Paolo V. Giaquinta

This paper deals with the construction of the multiparticle correlation expansion of relative entropy for lattice systems. Thanks to this analysis we are able to express the statistical distance between two systems as a series built over…

统计力学 · 物理学 2016-07-08 Marco D'Alessandro

We calculate the configurational entropy of colloidal particles in a confined geometry interacting as hard disks using Monte Carlo integration method. In particular, we consider systems with three kinds of boundary conditions: hard,…

软凝聚态物质 · 物理学 2023-01-23 Duanduan Wan

We present an analytical many-body formalism for systems of spherical particles carrying arbitrary free charge distributions and interacting in a polarizable electrolyte solution, that we model within the linearized Poisson--Boltzmann…

软凝聚态物质 · 物理学 2025-12-15 Sergii V. Siryk , Walter Rocchia

We extend the semiclassical picture for the spreading of entanglement and correlations to quantum quenches with several species of quasiparticles that have non-trivial pair correlations in momentum space. These pair correlations are, for…

统计力学 · 物理学 2018-10-17 Alvise Bastianello , Pasquale Calabrese

We present a theory to predict the structure and thermodynamics of mixtures of colloids of different diameters, building on our earlier work [J. Chem. Phys. 145, 074904 (2016)] that considered mixtures with all particles constrained to have…

软凝聚态物质 · 物理学 2017-05-24 Artee Bansal , Arjun Valiya Parambathu , D. Asthagiri , Kenneth R. Cox , Walter G. Chapman

We study the role of multi-particle spatial correlations in the appearance of a liquid-vapour critical point. Our analysis is based on the exact infinite hierarchy of equations relating spatial integrals of $(k+1)$-particle correlations to…

统计力学 · 物理学 2015-10-13 Andrés Santos , Jaroslaw Piasecki

We review some recent progress on applications of Cluster Expansions. We focus on a system of classical particles living in a continuous medium and interacting via a stable and tempered pair potential. We review the cluster expansion in…

数学物理 · 物理学 2023-04-26 Dimitrios Tsagkarogiannis

We present a statistical mechanical description of randomly packed spherical particles, where the average coordination number is treated as a macroscopic thermodynamic variable. The overall packing entropy is shown to have two…

软凝聚态物质 · 物理学 2022-02-02 Jack A. Logan , Alexei V. Tkachenko

A new method, dual-space cluster expansion, is proposed to study classical phases transitions in the continuum. It relies on replacing the particle positions as integration variables by the momenta of the relative displacements of particle…

数学物理 · 物理学 2025-11-18 Andras Suto

With respect to earlier investigations, the theory of multi-component, concentric, copolar, axisymmetric, rigidly rotating polytropes is improved and extended, including subsystems with nonzero density on the boundary and subsystems with…

星系天体物理 · 物理学 2016-07-21 R. Caimmi

A density matrix formulation of classical bipartite correlations is constructed. This leads to an understanding of the appearance of classical statistical correlations intertwined with the quantum correlations as well as a physical…

量子物理 · 物理学 2009-11-11 A. K. Rajagopal , R. W. Rendell

We study the entanglement entropy between the two outgoing particles in an elastic scattering process. It is formulated within an S-matrix formalism using the partial wave expansion of two-body states, which plays a significant role in our…

高能物理 - 理论 · 物理学 2016-07-08 Robi Peschanski , Shigenori Seki

An algorithm for measurement of entropy in multiparticle systems, based on recently published proposal of the present authors, is given. Dependence on discretization of the system and effects of multiparticle correlations are discussed in…

高能物理 - 唯象学 · 物理学 2007-05-23 A. Bialas , W. Czyz

Statistics of distinguishable particles has become relevant in systems of colloidal particles and in the context of applications of statistical mechanics to complex networks. When studying these type of systems with the standard textbook…

统计力学 · 物理学 2016-08-24 A. Fernandez-Peralta , Raul Toral

We show that the concept of topological order, introduced to describe ordered quantum systems which cannot be classified by broken symmetries, also applies to classical systems. Starting from a specific example, we show how to use pure…

强关联电子 · 物理学 2011-11-09 Claudio Castelnovo , Claudio Chamon , .

We present a theoretical study of entanglement in ensembles consisting of an arbitrary number of particles. Multipartite entanglement criteria in terms of observables are formulated for a fixed number of particles as well as for systems…

量子物理 · 物理学 2017-06-22 J. Sperling , I. A. Walmsley

Defining the entropy of classical particles raises a number of paradoxes and ambiguities, some of which have been known for over a century. Several, such as Gibbs' paradox, involve the fact that classical particles are distinguishable, and…

软凝聚态物质 · 物理学 2016-12-28 Michael E. Cates , Vinothan N. Manoharan

The issue of the thermodynamics of a system of distinguishable particles is discussed in this paper. In constructing the statistical mechanics of distinguishable particles from the definition of Boltzmann entropy, it is found that the…

化学物理 · 物理学 2009-12-03 Chi-Ho Cheng

We describe how quasiclassical relative positions of particles emerge in an initially delocalized quantum system as scattering of a probe beam is observed. We show that in the multiparticle case this localization in position space occurs…

量子物理 · 物理学 2015-05-04 James S. Douglas , Keith Burnett
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