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We present the extension of a modeling technique for Lagrangian tracer particles [B. Viggiano et al., J. Fluid Mech.(2020), vol. 900, A27] which accounts for the effects of particle inertia. Thereby, the particle velocity for several Stokes…

Fluid Dynamics · Physics 2021-06-15 J. Friedrich , B. Viggiano , M. Bourgoin , R. B. Cal , L. Chevillard

The physical phenomena seen by an observer are defined for a local inertial system that is subjective to the observer. Such a coordinate system is called a ``moving frame'' because it changes from time to time. However, unlike the Thomas…

High Energy Physics - Theory · Physics 2025-05-14 Tomohiro Matsuda

In these lecture notes we give an introduction to the kinetic equation approach to pair production form the vacuum in strong, time-dependent external fields (dynamical Schwinger process). We first give a derivation of the kinetic equation…

High Energy Physics - Phenomenology · Physics 2017-04-14 D. B. Blaschke , S. A. Smolyansky , A. Panferov , L. Juchnowski

The particle production in a de Sitter space provides an interesting model to understand the curvature effect on Schwinger pair production by a constant electric field or Schwinger mechanism on the de Sitter radiation. For that purpose, we…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Sang Pyo Kim

We consider a suspension of spherical inertialess particles in a Stokes flow on the torus $\mathbb T^3$. The particles perturb a linear extensional flow due to their rigidity constraint. Due to the singular nature of this perturbation, no…

Analysis of PDEs · Mathematics 2022-10-28 Richard M. Höfer , Amina Mecherbet , Richard Schubert

A quantum kinetic equation has been derived for the description of pair production in a time-dependent homogeneous electric field $E(t)$. As a source term, the Schwinger mechanism for particle creation is incorporated. Possible particle…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. A. Smolyansky , G. Roepke , S. Schmidt , D. Blaschke , V. D. Toneev , A. V. Prozorkevich

We compute the production of particles from the gravitational field of an expanding mass shell. Contrary to the situation of Hawking radiation and the production of cosmological perturbations during cosmological inflation, the example of an…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sabine Hossenfelder , Dominik J. Schwarz , Walter Greiner

A stochastic model is proposed for the acceleration of non-relativistic particles yielding to energy spectra with a shape of a Weibull\textquoteright s function. Such particle distribution is found as the stationary solution of a…

Space Physics · Physics 2016-02-23 G. Pallocchia , M. Laurenza , G. Consolini

Multiparticle production processes provide valuable information about the mechanism of the conversion of the initial energy of projectiles into a number of secondaries by measuring their multiplicity distributions and their distributions in…

High Energy Physics - Phenomenology · Physics 2018-04-12 Grzegorz Wilk , Zbigniew Włodarczyk

We analyze gravitational particle production assisted by chemical potential. By utilizing the uniformly smoothed Stokes-line method and Borel summation, we gain insight into the fine-grained history of enhanced particle production.…

High Energy Physics - Theory · Physics 2021-07-15 Chon Man Sou , Xi Tong , Yi Wang

Spontaneous pair production from background fields or spacetimes is one of the most prominent phenomena predicted by quantum field theory. The Schwinger mechanism of production of charged pairs by a strong electric field and the Hawking…

High Energy Physics - Theory · Physics 2016-11-28 Sang Pyo Kim

We introduce a single generative mechanism with which it is able to describe diverse non-stationary diffusions. A non-stationary Markovian replication process for steps is considered, for which we analytically derive time-evolution of the…

Statistical Mechanics · Physics 2017-10-25 Yichul Choi , Hyun-Joo Kim

The modulational instability of nonlinearly interacting spatially incoherent Stokes waves is analyzed. Starting from a pair of nonlinear Schroedinger equations, we derive a coupled set of wave-kinetic equations by using the Wigner transform…

Chaotic Dynamics · Physics 2007-05-23 P. K. Shukla , M. Marklund , L. Stenflo

We present an analysis of the stationary distributions of run-and-tumble particles trapped in external potentials in terms of a thermophoretic potential, that emerges when trapped active motion is mapped to trapped passive Brownian motion…

Statistical Mechanics · Physics 2019-02-06 Francisco J. Sevilla , Alejandro V. Arzola , Enrique Puga Cital

Random invariant manifolds are geometric objects useful for understanding complex dynamics under stochastic influences. Under a nonuniform hyperbolicity or a nonuniform exponential dichotomy condition, the existence of random pseudo-stable…

Dynamical Systems · Mathematics 2009-01-06 Tomas Caraballo , Jinqiao Duan , Kening Lu , Bjorn Schmalfuss

This paper presents the derivation of Schwinger's gauge invariant result of $Im \cal{L}_{eff}$ upto one loop approximation, for particle production in an uniform electric field through the method of complex trajectory WKB approximation…

General Relativity and Quantum Cosmology · Physics 2016-12-21 S. Biswas , A. Shaw , B. Modak

This article provides a brief (non-exhaustive) overview of some possibilities for recreating fundamental effects which are relevant for black holes (and other gravitational scenarios) in the laboratory. Via suitable condensed matter…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Ralf Schützhold

Particle production in cosmology is often efficiently computed in terms of Bogoliubov transforms. Restricting to a particular class of dispersion relationships, we identify a map between the number of particles produced in a special…

High Energy Physics - Theory · Physics 2025-06-18 Daniel J. H. Chung , Nidhi Sudhir

We consider the process of electron-positron pair production in the presence of strong electric backgrounds being rapidly switched on and off and examine the total particle yield. For sufficiently sharp field profiles, the particle number…

High Energy Physics - Phenomenology · Physics 2025-01-09 I. A. Aleksandrov , D. G. Sevostyanov , V. M. Shabaev

In a recent letter, the authors presented a unified derivation of the electric Schwinger effect and a generalized Hawking effect with an additional radiation component. The approach discloses a radial profile of black hole pair production…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Michael F. Wondrak , Walter D. van Suijlekom , Heino Falcke