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The particle production in the self-interacting N-component complex scalar field theory is studied at large N. A non-Markovian source term that includes all higher order back-reaction and collision effects is derived. The kinetic amplitudes…

High Energy Physics - Theory · Physics 2009-11-10 Fuad M. Saradzhev

We are studying stationary random processes with conditional polynomial moments that allow a continuous path modification. Processes with continuous path modification, are important because they are relatively easy to simulate. One does not…

Probability · Mathematics 2024-11-21 Paweł J. Szabłowski

We study particle production in Vaidya spacetime. Using the WKB approximation, the distribution of Hawking radiation is calculated without the near-horizon approximation, which leads to finite corrections to the purely thermal spectrum. We…

General Relativity and Quantum Cosmology · Physics 2024-09-18 Dawid Maskalaniec , Bartłomiej Sikorski

We derive a perturbative approach to study, in the large inertia limit, the dynamics of solid particles in a smooth, incompressible and finite-time correlated random velocity field. We carry on an expansion in powers of the inverse square…

Statistical Mechanics · Physics 2009-11-13 Piero Olla , Maria Raffaella Vuolo

We present a detailed study of the growth of the Parker instability in a differentially rotating disk embedded in an azimuthal equilibrium magnetic field, such as the interstellar gas or an accretion disk. Basic properties of the…

Astrophysics · Physics 2007-05-23 T. Foglizzo , M. Tagger

Neglecting the effect of particle production at the moment of bubble nucleation, the spectrum of created particles during the bubble expansion is evaluated in the thin-wall approximation. It is shown that the expanding thin-walled bubble…

High Energy Physics - Theory · Physics 2009-11-10 Michael Maziashvili

We consider a microscopic model of spherical particles with inertia in a Stokes flow. As the particle number grows to infinity and their size goes to zero we derive the monokinetic Vlasov-Stokes equations as mean-field limit. We do this…

Analysis of PDEs · Mathematics 2025-11-19 Richard M. Höfer , A. Mecherbet , R. Schubert

We consider a multivariate non-linear Hawkes process in a multi-class setup where particles are organised within two populations of possibly different sizes, such that one of the populations acts excitatory on the system while the other…

Probability · Mathematics 2020-04-07 Mads Bonde Raad , Eva Löcherbach

The main motivation of this work is the quantitative prediction and description of particle manipulation (displacement across streamlines) in microfluidic flow. Much attention has been paid recently to placing particles in fast oscillatory…

Fluid Dynamics · Physics 2026-03-24 Xuchen Liu

The goal of this work is to investigate particle motions beneath unidirectional, deep-water waves up to the third-order in nonlinearity. A particular focus is on the approximation known as Stokes drift, and how it relates to the particle…

Fluid Dynamics · Physics 2026-04-22 Raphael Stuhlmeier

The particle creation by the so-called peak electric field is considered. The latter field is a combination of two exponential parts, one exponentially increasing and another exponentially decreasing. We find exact solutions of the Dirac…

High Energy Physics - Theory · Physics 2017-04-09 T. C. Adorno , S. P. Gavrilov , D. M. Gitman

We study a discrete variant of the Airy equation, formulated as an advance-delay equation, to reveal that discretization induces the higher-order Stokes phenomenon, which is not present in the continuous Airy function and is typically only…

Mathematical Physics · Physics 2025-10-09 Aaron J. Moston-Duggan , Christopher J. Howls , Christopher J. Lustri

Non-electromagnetic emissions from high energy particles in extreme environments has been studied in the literature by using several variations of the semi-classical formalism. The detailed mechanisms behind such emissions are of great…

High Energy Astrophysical Phenomena · Physics 2011-01-13 Douglas Fregolente , Alberto Saa

The Schwinger mechanism of electron-positron pair production in the presence of strong external electric fields is analyzed numerically for the case of one- and two-dimensional field configurations where the external field depends both on…

High Energy Physics - Theory · Physics 2016-09-28 I. A. Aleksandrov , G. Plunien , V. M. Shabaev

We study the statistical mechanics of the one-dimensional discrete nonlinear Schr\"odinger (DNLS) equation with saturable nonlinearity. Our study represents an extension of earlier work [Phys. Rev. Lett. {\bf 84}, 3740 (2000)] regarding the…

Pattern Formation and Solitons · Physics 2013-04-23 Mogens R. Samuelsen , Avinash Khare , Avadh Saxena , Kim Ø. Rasmussen

The possibility that around some astrophysical objects there are non-static magnetic fields of enormous intensity suggests that in these situations real particles may be produced. The slowness of the variation is compensated by the huge…

High Energy Physics - Phenomenology · Physics 2008-11-26 Giorgio Calucci , Antonino Di Piazza

The Unruh effect is one of the first calculations of what one would see when transiting between an inertial reference frame with its quantum field vacuum state and a non-inertial (specifically, uniformly accelerating) reference frame. The…

General Relativity and Quantum Cosmology · Physics 2023-12-18 Satish Ramakrishna

We study a class of Markov processes with finite state space and continuous time that have product form stationary distributions. We obtain a number of examples that can generate conjectures for diffusions with inert drift.

Probability · Mathematics 2008-10-19 Krzysztof Burdzy , David White

We study the production of charged scalar particles with well defined angular momentum, in the presence of an external Coulomb field on de Sitter expanding universe. This process of particle production is studied as a perturbative…

High Energy Physics - Theory · Physics 2019-03-07 Mihaela-Andreea Baloi

The particle production process is reviewed, through which cosmic inflation can produce a scale invariant superhorizon spectrum of perturbations of suitable fields starting from their quantum fluctuations. Afterwards, in the context of the…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-28 Konstantinos Dimopoulos