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We study the validity of the time-dependent asymptotic $P_N$ approximation in radiative transfer of photons. The time-dependent asymptotic $P_N$ is an approximation which uses the standard $P_N$ equations with a closure that is based on the…

计算物理 · 物理学 2021-08-26 Re'em Harel , Stanislav Burov , Shay I. Heizler

We consider a linear Boltzmann equation that arises in a model for quantum friction. It describes a particle that is slowed down by the emission of bosons. We study the stochastic process generated by this Boltzmann equation and we show…

数学物理 · 物理学 2024-04-25 Roland Bauerschmidt , Wojciech de Roeck , Jürg Fröhlich

Real-time perturbation theory is formulated for complex scalar fields away from thermal equilibrium in such a way that dissipative effects arising from the absorptive parts of loop diagrams are approximately resummed into the unperturbed…

高能物理 - 理论 · 物理学 2009-10-30 I. D. Lawrie , D. B. McKernan

We derive quantum Boltzmann equations from Schwinger-Dyson equations in gradient expansion for a weakly coupled scalar field theory with a spatially varying mass. We find that at higher order in gradients a full description of the system…

高能物理 - 唯象学 · 物理学 2009-10-31 Michael Joyce , Kimmo Kainulainen , Tomislav Prokopec

A convenient form of kinetic equation is derived for pair annihilation of heavy stable particles relevant to the dark matter problem in cosmology. The kinetic equation thus derived extends the on-shell Boltzmann equation in a most…

高能物理 - 唯象学 · 物理学 2009-10-31 Sh. Matsumoto , M. Yoshimura

Decay of a scalar condensate via interactions with (quasi-)particles is of interest to many fields in physics, including cosmology. In cosmology, the decay of an inflaton condensate leads to the production of daughter particles and…

高能物理 - 唯象学 · 物理学 2026-04-03 Ayuki Kamada , Kodai Sakurai

We present a theory and computation method of radiation pressure from partially coherent light by establishing a coherent mode representation of the radiation forces. This is illustrated with the near field emitted from a Gaussian Schell…

A dark photon may kinetically mix with the ordinary photon, inducing oscillations with observable imprints on cosmology. Oscillations are resonantly enhanced if the dark photon mass equals the ordinary photon plasma mass, which tracks the…

宇宙学与河外天体物理 · 物理学 2020-12-11 Andrea Caputo , Hongwan Liu , Siddharth Mishra-Sharma , Joshua T. Ruderman

We present results for the cosmic non-linear density-fluctuation power spectrum based on the analytical formalism developed in [1] which allows us to study cosmic structure formation based on Newtonian particle dynamics in phase-space. This…

宇宙学与河外天体物理 · 物理学 2025-01-22 Tristan Daus , Elena Kozlikin

We develop a Monte Carlo wave function algorithm for the quantum linear Boltzmann equation, a Markovian master equation describing the quantum motion of a test particle interacting with the particles of an environmental background gas. The…

量子物理 · 物理学 2010-09-28 Marc Busse , Piotr Pietrulewicz , Heinz-Peter Breuer , Klaus Hornberger

We consider the nonlinear Poisson-Boltzmann equation in the context of electrostatic models for a biological macromolecule, embedded in a bounded domain containing a solution of an arbitrary number of ionic species which is not necessarily…

偏微分方程分析 · 数学 2022-04-26 José A. Iglesias , Svetoslav Nakov

One of the most compelling candidates for Dark Matter (DM) are light pseudo-scalar particles (axions), motivated by the strong CP problem and axiverse scenario in string theory. Depending on their mass and type of self-interaction, these…

广义相对论与量子宇宙学 · 物理学 2019-07-30 Mateja Bošković

The problem of the backreaction during the process of electron-positron pair production by a circularly polarized electromagnetic wave propagating in a plasma is investigated. A model based on the relativistic Boltzmann-Vlasov equation with…

高能物理 - 唯象学 · 物理学 2016-09-06 S. S. Bulanov , A. M. Fedotov , F. Pegoraro

We give an explicit formula for the effective partition function of a harmonically bound particle minimally coupled to a photon field in the dipole approximation. The effective partition function is shown to be the Laplace transform of a…

数学物理 · 物理学 2015-05-18 Volker Betz , Domenico Castrigiano

Many classical scalar field theories possess remarkable solutions: coherently oscillating, localized clumps, known as oscillons. In many cases, the decay rate of classical small amplitude oscillons is known to be exponentially suppressed…

高能物理 - 理论 · 物理学 2010-09-30 Mark P. Hertzberg

The expansion rate of the Universe deviates from its standard value when the total energy density includes contribution from a new scalar field apart from the radiation energy density. The non-trivial modifications incurred in the Boltzmann…

高能物理 - 唯象学 · 物理学 2022-11-29 Mainak Chakraborty , Sourov Roy

We develop a quantitative mathematical theory that offers new perspectives on nonlinear harmonic generation in plasmonic structures arising from symmetry breaking. Focusing on second harmonic generation--the most fundamental process and the…

偏微分方程分析 · 数学 2026-05-04 Hongyu Liu , Zhi-Qiang Miao , Jingfeng Yao , Chengxun Yuan , Guang-Hui Zheng

Dark photons can be resonantly produced in the early universe via their coupling to an oscillating axion field. However, this mechanism typically requires large axion--dark photon couplings or some degree of fine-tuning. In this work, we…

高能物理 - 唯象学 · 物理学 2025-10-22 Hong-Yi Zhang , Paola Arias , Andrew Cheek , Enrico D. Schiappacasse , Luca Visinelli , Leszek Roszkowski

The nonlinear photon-photon interaction mediated by a single two-level atom is studied theoretically based on a one-dimensional model of the field-atom interaction. This model allows us to determine the effects of an atomic nonlinearity on…

量子物理 · 物理学 2009-11-10 Kunihiro Kojima , Holger F. Hofmann , Shigeki Takeuchi , Keiji Sasaki

The rate of particle creation in a resonantly oscillating cavity is known to be approximately constant at large evolution times. Employing the Schwinger-Keldysh diagrammatic technique, we show that nonlinear interactions generate nonzero…

高能物理 - 理论 · 物理学 2023-03-07 Dmitrii A. Trunin