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We establish an analytical criterion for dynamical thermalization within harmonic systems, applicable to both classical and quantum models. Specifically, we prove that thermalization of various observables, such as particle energies in…

Statistical Mechanics · Physics 2025-07-29 Marco Cattaneo , Marco Baldovin , Dario Lucente , Paolo Muratore-Ginanneschi , Angelo Vulpiani

All real physical processes, including of the first-passage time, occur with a change in entropy. This circumstance is not taken into account when studying the first-passage time, but is illustrated in this article using the example of…

Statistical Mechanics · Physics 2024-07-30 V. V. Ryazanov

Thermalization of isolated quantum systems has been studied intensively in recent years and significant progresses have been achieved. Here, we study thermalization of small quantum systems that interact with large chaotic environments…

Statistical Mechanics · Physics 2019-06-05 Jiaozi Wang , Wen-ge Wang , Jiao Wang

The differential rates and emissivities of neutrino pairs from an equilibrium plasma are calculated for the wide range of density and temperature encountered in astrophysical systems. New analytical expressions are derived for the…

Astrophysics · Physics 2009-11-07 Sasa Ratkovic , Sharada Iyer Dutta , Madappa Prakash

Our knowledge of quantum mechanics can satisfactorily describe simple, microscopic systems, but is yet to explain the macroscopic everyday phenomena we observe. Here we aim to shed some light on the quantum-to-classical transition as seen…

Quantum Physics · Physics 2020-08-14 Isadora Veeren , Fernando de Melo

For a particle moving in a one-dimensional space an under a periodic external force, its quantization is study using the Hamiltonian (generalized linear momentum quantization) and constant of motion (velocity quantization) approaches. it is…

Quantum Physics · Physics 2007-05-23 Gustavo Lopez

In this paper we discuss some examples of systems composed of $N$ units, which exchange a conserved quantity $x$ according to some given stochastic rule, from some standard kinetic model of condensed matter physics to the kinetic exchange…

Statistical Mechanics · Physics 2016-10-12 Marco Patriarca , Els Heinsalu , Amrita Singh , Anirban Chakraborti

Interacting systems can be studied as the networks where nodes are system units and edges denote correlated interactions. Although percolation on network is a unified way to model the emergence and propagation of correlated behaviours, it…

Statistical Mechanics · Physics 2023-11-15 Yizhou Xu , Pei Sun , Yang Tian

The usual formulation of thermodynamics is based on the additivity of macroscopic systems. However, there are numerous examples of macroscopic systems that are not additive, due to the long-range character of the interaction among the…

Statistical Mechanics · Physics 2022-06-22 Ivan Latella , Agustín Pérez-Madrid , Alessandro Campa , Lapo Casetti , Stefano Ruffo

We study how entanglement in photoionization is transferred from an electron-ion pair to an electron-photon pair by fluorescence. Time-resolved von Neumann entropies are used to establish how information is shared between the particles.…

Quantum Physics · Physics 2025-08-18 Axel Stenquist , Jakob Nicolai Bruhnke , Felipe Zapata , Jan Marcus Dahlström

We compute the transition amplitudes between charged particles of mass $M$ and $m$ accelerated by a constant electric field and interacting by the exchange of quanta of a third field. We work in second quantization in order to take into…

High Energy Physics - Theory · Physics 2009-10-30 Cl. Gabriel , Ph. Spindel , S. Massar , R. Parentani

The properties of spin polarized neutron matter are studied both at zero and finite temperature within the framework of the Brueckner--Hartree--Fock formalism, using the Argonne v18 nucleon-nucleon interaction. The free energy, energy and…

Nuclear Theory · Physics 2009-11-11 I. Bombaci , A. Polls , A. Ramos , A. Rios , I. Vidana

We consider the dynamics of diffusing particles in one space dimension with annihilation on collision and nucleation (creation of particles) with constant probability per unit time and length. The cases of nucleation of single particles and…

Statistical Mechanics · Physics 2009-11-07 S. Habib , K. Lindenberg , G. Lythe , C. Molina-Paris

In a scattering process, the final state is determined by an initial state and an S-matrix. We focus on two-particle scattering processes and consider the entanglement between these particles. For two types initial states; i.e., an…

High Energy Physics - Theory · Physics 2015-05-20 I. Y. Park , Shigenori Seki , Sang-Jin Sin

A Hamiltonian-based model of many harmonically interacting massive particles that are subject to linear friction and coupled to heat baths at different temperatures is used to study the dynamic approach to equilibrium and non-equilibrium…

Statistical Mechanics · Physics 2020-09-17 Roland R. Netz

Various topics concerning the entanglement of composite quantum systems are considered with particular emphasis concerning the strict relations of such a problem with the one of attributing objective properties to the constituents. Most of…

Quantum Physics · Physics 2007-05-23 Giancarlo Ghirardi , Luca Marinatto , Tullio Weber

We discuss several pairing-related phenomena in nuclear systems, ranging from superfluidity in neutron stars to the gradual breaking of pairs in finite nuclei. We describe recent experimental evidence that points to a relation between…

Nuclear Theory · Physics 2015-06-26 A. Belic , D. J. Dean , M. Hjorth-Jensen

The clearing up of a wave nature of the energy and mass transfer phenomena in classical expressions of the molecular-kinetic theory has allowed to find a quantitative measure of intensity of processes of a thermal conductivity, viscosity…

Fluid Dynamics · Physics 2007-05-23 S. L. Arsenjev , I. B. Lozovitski , Y. P. Sirik

Considering a broad class of steady-state nonequilibrium systems for which some additive quantities are conserved by the dynamics, we introduce from a statistical approach intensive thermodynamic parameters (ITPs) conjugated to the…

Statistical Mechanics · Physics 2007-05-23 Eric Bertin , Kirsten Martens , Olivier Dauchot , Michel Droz

We study the motion of a massive particle in a quenched random environment at zero temperature. The distribution of particle positions is investigated numerically and special focus is placed on the mean stopping distance and its…

Statistical Mechanics · Physics 2009-11-07 Sune Jespersen , Hans C. Fogedby
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