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Active matter describes systems whose constituents convert energy from their surroundings into directed motion, such as bacteria or catalytic colloids. We establish a thermodynamic law for dilute suspensions of interacting active particles…

Statistical Mechanics · Physics 2025-07-22 Lennart Dabelow , Ralf Eichhorn

The ideal gas laws are derived from the democritian concept of corpuscles moving in vacuum plus a principle of simplicity, namely that these laws are independent of the laws of motion aside from the law of energy conservation. A single…

Classical Physics · Physics 2013-04-23 Jacques Arnaud , Laurent Chusseau , Fabrice Philippe

We show that two particles interacting via spin exchange exhibit topological features found in one-dimensional single particle lattice models. This is accomplished by absorbing all of the spatial degrees of freedom of the lattices into the…

Quantum Physics · Physics 2023-03-15 J. Mumford

Systems of particles interacting via inverse-power law potentials have an invariance with respect to changes in length and temperature, implying a correspondence in the dynamics and thermodynamics between different `isomorphic' sets of…

Statistical Mechanics · Physics 2016-08-03 Thibaud Maimbourg , Jorge Kurchan

A unified approach valid for any wavenumber, frequency, and temperature is presented for uniform ideal quantum gases allowing for a comprehensive study of number density and particle-current density response functions. Exact analytical…

Quantum Gases · Physics 2015-05-14 J. Bosse , K. N. Pathak , G. S. Singh

We give a general existence and convergence result for interacting particle systems on locally finite graphs with possibly unbounded degrees or jump rates. We allow the local state space to be Polish, and the jumps at a site to affect the…

Probability · Mathematics 2026-01-15 Kuldeep Guha Mazumder

The Witten-Veneziano relation between the topological susceptibility of pure gauge theories without fermions and the main contribution of the complete theory and the corresponding formula of Seiler and Stamatescu with the so-called contact…

High Energy Physics - Theory · Physics 2009-10-31 S. Azakov , H. Joos , A. Wipf

The thermodynamic behavior of Markovian open quantum systems can be described at the level of fluctuations by using continuous monitoring approaches. However, practical applications require assessing imperfect detection schemes, where the…

We consider the three-dimensional fluid-structure interaction system modeling a system consisting of a viscous incompressible fluid and an elastic plate forming its moving upper boundary. The fluid is described by the incompressible…

Analysis of PDEs · Mathematics 2025-12-12 Mario Bukal , Igor Kukavica , Linfeng Li , Boris Muha

This paper proposes a new general methodology for finite-time singularity formation for moving interface problems involving the incompressible Euler equations in the plane. The first problem considered is the two-phase Euler vortex sheets…

Analysis of PDEs · Mathematics 2017-09-04 Daniel Coutand

It is shown that the phenomenon of irreversibility in many-body and few-body systems can be explained and described within the framework of the concept of direct (not instantaneous) interaction of particles without using probabilistic…

Statistical Mechanics · Physics 2019-06-26 A. Yu. Zakharov

We show how a classically vanishing interaction generates entanglement between two initially nonentangled particles, without affecting their classical dynamics. For chaotic dynamics, the rate of entanglement is shown to saturate at the…

Quantum Physics · Physics 2009-11-11 C. Petitjean , Ph. Jacquod

We ask what happens when two systems having a nonequilibrium steady state are kept in contact and allowed to exchange a quantity, say mass, which is conserved in the combined system. Will the systems eventually evolve to a new stationary…

Statistical Mechanics · Physics 2015-07-20 Sayani Chatterjee , Punyabrata Pradhan , P. K. Mohanty

Phenomenological theories of interfacial interactions have targeted terrestrial applications since long time and their exploitation has inspired our research programme to build up a macroscopic theory of gas-surface interactions targeting…

Computational Physics · Physics 2019-03-20 Domenico Giordano , Pablo Solano-López , Josè Manuel Donoso

We consider consistent particle systems, which include independent random walkers, the symmetric exclusion and inclusion processes, as well as the dual of the KMP model. Consistent systems are such that the distribution obtained by first…

Probability · Mathematics 2019-12-24 Gioia Carinci , Cristian Giardinà , Frank Redig

The thermodynamic properties of vector (O(2) and Complex Spherical) models with four-body interactions are analyzed. When defined in dense topologies, these are effective models for the nonlinear interaction of scalar fields in the presence…

Statistical Mechanics · Physics 2015-07-15 Fabrizio Antenucci , Miguel Ibáñez Berganza , Luca Leuzzi

In this paper, we prove a general result concerning finite-range, attractive interacting particle systems on $\{-1, 1\}^{\mathbb{Z}^d}$. If the particle system has a unique stationary measure and, in a precise sense, relaxes to this…

Mathematical Physics · Physics 2017-10-05 N. Crawford , W. De Roeck

Passive filters allowing the exchange of particles in a narrow band of energy are currently used in micro-refrigerators and energy transducers. In this letter, we analyze their thermal properties using linear irreversible thermodynamics and…

Statistical Mechanics · Physics 2017-10-04 Ramón Muñoz-Tapia , Ricardo Brito , Juan M. R. Parrondo

Based on Reissner-Nordstrom-anti-de Sitter(RN-AdS) black hole surrounded by perfect fluid dark matter, we study the thermodynamics and phase transition by extending the phase space defined by the charge square $Q^{2}$ and the conjugate…

General Relativity and Quantum Cosmology · Physics 2018-06-18 Zhaoyi Xu , Xian Hou , Jiancheng Wang , Yi Liao

Based on the proposed earlier by the Author approach to macroscopic description of scalar interaction, this paper develops the macroscopic model of relativistic plasma with a fantom scalar interaction of elementary particles. In the given…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Yu. G. Ignatyev , D. Yu. Ignatyev