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Related papers: Boltzmann equation and its cosmological applicatio…

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A most simple theoretical argument is given in order to explain the quantitative estimate of the effect of collisional decoherence in matter-wave interferometry. The argument highlights the relevance of quantum and classical features in the…

Quantum Physics · Physics 2007-05-23 B. Vacchini

We consider a scalar field (called $\phi$) which is very weakly coupled to thermal bath, and study the evolution of its number density. We use the Boltzmann equation derived from the Kadanoff-Baym equations, assuming that the degrees of…

High Energy Physics - Phenomenology · Physics 2012-01-31 Koichi Hamaguchi , Takeo Moroi , Kyohei Mukaida

This paper is devoted to study the thermal aspects of a photon gas within the context of Planck-scale-modified dispersion relations. We study the spectrum of radiation and the correction to the \textit{Stefan$-$Boltzmann} law in different…

High Energy Physics - Theory · Physics 2021-09-23 A. A. Araújo Filho , A. Yu. Petrov

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

Inconsistencies are pointed out in a recent proposal [L. Diosi, Phys. Rev. A 80, 064104 (2009); arXiv:0905.3908v1] for a quantum version of the classical linear Boltzmann equation.

Quantum Physics · Physics 2010-09-28 Klaus Hornberger , Bassano Vacchini

We study the single-particle distributions of three-dimensional hard sphere gas described by the Boltzmann equation. We focus on the steady homogeneous isotropic solutions in thermodynamically open conditions, i.e. in the presence of…

Chaotic Dynamics · Physics 2011-10-10 Davide Proment , Sergey Nazarenko , Pietro Asinari , Miguel Onorato

Using the Kadanoff-Baym non-equilibrium Green's function formalism, we derive kinetic equations for the non-condensate atoms at finite temperatures which include the effect of binary collisions between atoms. The effect of collisions is…

Condensed Matter · Physics 2017-08-23 Milena Imamovic-Tomasovic , Allan Griffin

Based on a cocycle structure, we identify a new derivation of the Boltzmann distribution for finite energy-level systems from the maximal entropy principle (MEP). Our approach does not rely on the method of the Lagrange multiplier, and it…

Statistical Mechanics · Physics 2025-12-30 Chuan-Tsung Chan , Chan-Yi Chang , Zhong-Tang Wu

Linear cosmological observables can be used to probe elastic scattering of dark matter (DM) with baryons. Availability of high-precision data requires a critical reassessment of any assumptions that may impact the accuracy of constraints.…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-02 Suroor Seher Gandhi , Yacine Ali-Haïmoud

Recently several works have appeared in the literature in which authors try to describe Freeze Out (FO) in energetic heavy ion collisions based on the Boltzmann Transport Equation (BTE). The aim of this work is to point out the limitations…

High Energy Physics - Phenomenology · Physics 2009-11-11 V. K. Magas , L. P. Csernai , E. Molnar , A. Nyiri , K. Tamosiunas

We consider particle oscillations and their damping in second-quantized form. We find that the damping or "decoherence" may be described by a Boltzmann-like collision integral with "non-abelian blocking factors" (fermions). Earlier results…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Raffelt , G. Sigl , L. Stodolsky

We present a numerical analysis of the cosmological evolution of scalar field dark matter (SFDM) in the Boltzmann code $\texttt{CLASS}$, based on a dynamical system analysis of previous works. We show a detailed study of the evolution of…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-13 L. Arturo Ureña-López , Francisco X. Linares Cedeño

Variational solutions of the Boltzmann equation usually rely on the concept of linear response. We extend the variational approach for tight-binding models at high entropies to a regime far beyond linear response. We analyze both weakly…

Quantum Gases · Physics 2015-06-22 Stephan Mandt

This work is devoted to the analysis of the linear Boltzmann equation in a bounded domain, in the presence of a force deriving from a potential. The collision operator is allowed to be degenerate in the following two senses: (1) the…

Analysis of PDEs · Mathematics 2014-02-03 Daniel Han-Kwan , Matthieu Léautaud

A basic question about regularity of Boltzmann solutions in the presence of physical boundary conditions has been open due to characteristic nature of the boundary as well as the non-local mixing of the collision operator. Consider the…

Analysis of PDEs · Mathematics 2017-01-31 Yan Guo , Chanwoo Kim , Daniela Tonon , Ariane Trescases

Quantum computing raises the possibility of solving a variety of problems in physics that are presently intractable. A number of such problems involves the physics of systems in or near thermal equilibrium. There are two main ways to…

Quantum Physics · Physics 2023-08-16 Carter Ball , Thomas D. Cohen

Collective orders and photo-induced phase transitions in quantum matter can evolve on timescales which are orders of magnitude slower than the femtosecond processes related to electronic motion in the solid. Quantum Boltzmann equations can…

Strongly Correlated Electrons · Physics 2021-08-11 Antonio Picano , Jiajun Li , Martin Eckstein

The field equations of Kaluza-Klein (KK) theory have been applied in the domain of cosmology. These equations are solved for a flat universe by taking the gravitational and the cosmological constants as a function of time t. We use Taylor's…

General Physics · Physics 2012-04-10 M. I. Wanas , Gamal G. L. Nashed , A. A. Nowaya

We generalize the cosmic energy equation to the case when massive particles interact via a modified gravitational potential of the form phi(a, r), which is allowed to explicitly depend upon the cosmological time through the expansion factor…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-23 Yuri Shtanov , Varun Sahni

A cosmological model based on holographic scenarios is formulated in a flat Friedmann-Robertson-Walker universe. To formulate this model, the cosmological horizon is assumed to have a general entropy and a general temperature (including…

General Relativity and Quantum Cosmology · Physics 2024-01-09 Nobuyoshi Komatsu