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A non-markovian stochastic model shows the emergence of structures in the medium, a self-organization characterized by a relationship between particle's energy, driven frequency $\omega$ and a frequency of interaction with the medium $\nu$.…

General Physics · Physics 2015-07-29 Mario J. Pinheiro

Boltzmann equation plays important roles in particle cosmology in studying the evolution of distribution functions (also called as occupation numbers) of various particles. For the case of the decay of a scalar condensation $\phi$ into a…

High Energy Physics - Phenomenology · Physics 2021-03-31 Takeo Moroi , Wen Yin

We investigate the dephasing suffered by a nonrelativistic quantum particle within a conformally fluctuating spacetime geometry. Starting from a minimally coupled massive Klein-Gordon field, the low velocity limit yields an effective…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Paolo M. Bonifacio , Charles H. -T. Wang , J. Tito Mendonca , Robert Bingham

Large amplitude oscillation of cosmic field that may occur right after inflation and in the decay process of weakly interacting fields gives rise to violent particle production via the parametric resonance. In the large amplitude limit the…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. Fujisaki , K. Kumekawa , M. Yamaguchi , M. Yoshimura

In this article the linear Boltzmann equation is derived for a particle interacting with a Gaussian random field, in the weak coupling limit, with renewal in time of the random field. The initial data can be chosen arbitrarily. The proof is…

Mathematical Physics · Physics 2012-06-26 Sébastien Breteaux

We study the resonant interaction of charged particles with a gravitational wave propagating in the non-empty interstellar space in the presence of a uniform magnetic field. It is found that this interaction can be cast in the form of a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 K. Kleidis , H. Varvoglis , D. B. Papadopoulos

We develop a formalism to investigate the behavior of quantum field and quantum ground state when the field is coupled to perturbation that periodically oscillates. Working in the Schroedinger picture of quantum field theory, we confirm…

High Energy Physics - Theory · Physics 2009-10-28 M. Yoshimura

Particle production via parametric resonance in the early Universe, is a nonperturbative, non-linear and out-of-equilibrium phenomenon. Although it is a well studied topic, whenever a new scenario exhibits parametric resonance, a full…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-02 Daniel G. Figueroa , Francisco Torrenti

A solution to the Boltzmann equation governing the thermal relic abundance of cold dark matter is constructed by matched asymptotic approximations. The approximation of the relic density is an asymptotic series valid when the abundance does…

High Energy Physics - Phenomenology · Physics 2021-07-16 Logan A. Morrison , Hiren H. Patel , Jaryd F. Ulbricht

In recent studies it has become increasingly clear that presence of infinitely many instability bands of the parametric resonance plays crucial roles in the phenomenon of particle production under periodic classical field oscillation. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Yoshimura

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

A linear Boltzmann equation is derived in the Boltzmann-Grad scaling for the deterministic dynamics of many interacting particles with random initial data. We study a Rayleigh gas where a tagged particle is undergoing hard-sphere collisions…

Analysis of PDEs · Mathematics 2017-11-29 Karsten Matthies , George Stone , Florian Theil

A dark photon may kinetically mix with the Standard Model photon, leading to observable cosmological signatures. The mixing is resonantly enhanced when the dark photon mass matches the primordial plasma frequency, which depends sensitively…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-11 Andrea Caputo , Hongwan Liu , Siddharth Mishra-Sharma , Joshua T. Ruderman

We study simple nonequilibrium distributions describing a classical gas of particles interacting via a pair potential ${\phi}(x/{\epsilon})$, in the Boltzmann-Grad scaling ${\epsilon} \rightarrow 0$. We establish bounds for truncated…

Mathematical Physics · Physics 2024-06-17 Andrea Di Stefano , Sergio Simonella , Raphael Winter

Recently, there have been studies of parametric resonance decay of oscillating real homogeneous cosmological scalar fields, in both the narrow-band and broad-band case, primarily within the context of inflaton decay and (p)reheating.…

High Energy Physics - Phenomenology · Physics 2009-10-31 Rouzbeh Allahverdi , Bruce A. Campbell , R. H. A. David Shaw

Photoassociation, assembling molecules from atoms using laser light, is limited by the low density of atom pairs at sufficiently short interatomic separations. Here, we show that non-resonant light with intensities of the order of 10^10…

Atomic Physics · Physics 2013-01-08 Rosario González-Férez , Christiane P. Koch

We study the evolution of a quantum particle interacting with a random potential in the low density limit (Boltzmann-Grad). The phase space density of the quantum evolution defined through the Husimi function converges weakly to a linear…

Mathematical Physics · Physics 2009-11-10 David Eng , Laszlo Erdos

A simple kinematical argument suggests that the classical approximation may be inadequate to describe the evolution of a system with an anisotropic particle distribution. In order to verify this quantitatively, we study the Boltzmann…

High Energy Physics - Phenomenology · Physics 2015-10-28 Thomas Epelbaum , Francois Gelis , Sangyong Jeon , Guy Moore , Bin Wu

This paper gives the first full proof of the justification of the linear Boltzmann equation from an underlying long range particle evolution. We suppose that a tagged particle is interacting with a background via a two body potential that…

Analysis of PDEs · Mathematics 2017-12-14 Matthew Egginton , Florian Theil

An intense X wave propagating perpendicularly to dc magnetic field is unstable with respect to a parametric decay into an electron Bernstein wave and a lower-hybrid wave. A modified theory of this effect is proposed that extends to the…

Plasma Physics · Physics 2017-04-26 I. Y. Dodin , A. V. Arefiev
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