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In this paper, we study the polyatomic Boltzmann equation based on continuous internal energy, focusing on physically relevant collision kernels of the hard potentials type with integrable angular part. We establish three main results:…

Analysis of PDEs · Mathematics 2025-10-14 Ricardo Alonso , Milana Čolić

Principally important for the description the physical processes in the collapsing stellar cores topics are surveyed. They are: the neutrino heat conduction theory, equation of state under the conditions of nuclear statistical equilibrium…

Solar and Stellar Astrophysics · Physics 2013-08-22 D. K. Nadyozhin , A. V. Yudin

We investigate the overdamped stochastic dynamics of a particle in an asymptotically flat external potential field, in contact with a thermal bath. For an infinite system size, the particles may escape the force field and diffuse freely at…

Statistical Mechanics · Physics 2020-06-24 Erez Aghion , David A. Kessler , Eli Barkai

Entanglement is considered to be one of the most profound features of quantum mechanics. An entangled state of a system consisting of two subsystems cannot be described as a product of the quantum states of the two subsystems. In this sense…

Quantum Physics · Physics 2009-11-07 Brian Julsgaard , Alexander Kozhekin , Eugene S. Polzik

The article describes Boltzmann equations for a potential case of multi-particle dark matter with symmetric and asymmetric dark matter components in a model-independent approach. We focus on the specific scenario where one of the DM…

High Energy Physics - Phenomenology · Physics 2024-08-06 Amit Dutta Banik

Consider a microscopic system of $N$ hard spheres that are initially independent (modulo the exclusion condition on particle positions) and identically distributed in $\mathbb{R}^3$. When the number $N$ of particles goes to infinity and the…

Analysis of PDEs · Mathematics 2026-02-05 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond , Sergio Simonella

The transition from the end of inflation to a hot, thermal Universe, commonly referred to as (re)heating, is a critical yet often misunderstood phase in early Universe cosmology. This short review aims to provide a comprehensive,…

High Energy Physics - Phenomenology · Physics 2025-06-23 Basabendu Barman , Nicolás Bernal , Javier Rubio

Short-range interaction can give rise to particle pairing with a short-range correlation, which may be destroyed in the presence of an external field. We study the transition between correlated and uncorrelated particle states in the…

Quantum Physics · Physics 2016-06-07 X. Z. Zhang , S. Lin , Z. Song

In this paper, we numerically study the impact heavy field degrees of freedom have on vacuum metastability in a toy model, with the aim of better understanding how the decoupling theorem extends to semiclassical processes. We observe that…

High Energy Physics - Phenomenology · Physics 2017-10-11 Hiren H. Patel , Branimir Radovcic

Long standing problem in out-of-equilibrium thermal field theories are pinching singularities. We find that the expressions suspect of pinching require loop particles to be on the mass shell. This fact, with the help of threshold effect and…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. Dadic

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…

General Relativity and Quantum Cosmology · Physics 2011-06-07 Alex E. Bernardini , O. Bertolami

A standard calculation of the energy density of heavy stable particles that may pair-annihilate into light particles making up thermal medium is performed to second order of coupling, using the technique of thermal field theory. At very low…

High Energy Physics - Phenomenology · Physics 2009-10-31 Sh. Matsumoto , M. Yoshimura

Quantum coherence is a fundamental characteristic to distinguish quantum systems from their classical counterparts. Though quantum coherence persists in isolated non-interacting systems, interactions inevitably lead to decoherence, which is…

Quantum Gases · Physics 2017-11-15 Ke-Ji Chen , Ho Kwan Lau , Hon Ming Chan , Dajun Wang , Qi Zhou

Nucleation, commonly associated with discontinuous transformations between metastable and stable phases, is crucial in fields as diverse as atmospheric science and nanoscale electronics. Traditionally, it is considered a microscopic process…

The kinetics of irreversible annihilation of charged particles performing overdamped motion induced by long-range interaction force, $F(r)\sim r^{-\lambda}$, is investigated. The system exhibits rich kinetic behaviors depending on the force…

Condensed Matter · Physics 2009-10-28 I. Ispolatov , P. Krapivsky

We propose a new mechanism for thermal dark matter freezeout, termed Co-Decaying Dark Matter. Multi-component dark sectors with degenerate particles and out-of-equilibrium decays can co-decay to obtain the observed relic density. The dark…

High Energy Physics - Phenomenology · Physics 2016-12-08 Jeff Asaf Dror , Eric Kuflik , Wee Hao Ng

The motion of a particle in a ring of length L is influenced by a dirty metal environment whose fluctuations are characterized by a short correlation distance $\ell << L$. We analyze the induced decoherence process, and compare the results…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Doron Cohen , Baruch Horovitz

A system of particles is studied in which the stochastic processes are one-particle type-change (or one-particle diffusion) and multi-particle annihilation. It is shown that, if the annihilation rate tends to zero but the initial values of…

Statistical Mechanics · Physics 2007-05-23 Mohammad Khorrami , Amir Aghamohammadi

The mechanism of the transition of a dynamical system from quantum to classical mechanics is one of the remaining challenges of quantum theory. Currently, it is considered to occur via decoherence caused by entanglement and/or stochastic…

Quantum Physics · Physics 2015-06-16 John S. Briggs , James M. Feagin

A new method to examine the time scale of particle emission from hot nuclei is explored. Excited projectile-like and target-like fragments decay as they separate following a peripheral heavy-ion collision. Their mutual Coulomb influence…