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We analyze a quantum kinetic equation describing both boson and fermion pair production and explore analytically and numerically the solution of the non-Markovian kinetic equation. In the Markovian limit of the kinetic equation we find an…

High Energy Physics - Phenomenology · Physics 2016-08-25 S. Schmidt , D. Blaschke , G. Ropke , A. V. Prozorkevich , S. A. Smolyansky , V. D. Toneev

Expressions for the entropy and equations for the quantum distribution functions in systems of non-interacting fermions and bosons with an arbitrary, including small, number of particles are obtained in the paper

Quantum Physics · Physics 2024-01-11 Yu. M. Poluektov , A. A. Soroka

A phenomenological model is presented based on the formation of nuclear thermodynamic system during the collision of heavy ions in the regime of intermediate and high energy regions. The formulation and the dynamic picture are determined by…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mohamed Tarek Hussein , Nabila Mohamed Hassan , Naglaa El-Harby

We analyze a quantum kinetic equation describing both boson and fermion pair production. We explore the solution of the kinetic equation in its Markovian limit. The numerical study shows an enhancement (bosons) or a suppression (fermions)…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Schmidt , A. V. Prozorkevich , S. A. Smolyansky

We describe aspects of particle creation in strong fields using a quantum kinetic equation with a relaxation-time approximation to the collision term. The strong electric background field is determined by solving Maxwell's equation in…

Nuclear Theory · Physics 2007-05-23 A. V. Prozorkevich , D. V. Vinnik , S. M. Schmidt , M. B. Hecht , C. D. Roberts

Quantum mechanical particles in a confining potential interfere with each other while undergoing thermodynamic processes far from thermal equilibrium. By evaluating the corresponding transition probabilities between many-particle…

Statistical Mechanics · Physics 2014-12-16 Zongping Gong , Sebastian Deffner , H. T. Quan

Inspired by one--dimensional light--particle systems, the dynamics of a non-Hamiltonian system with long--range forces is investigated. While the molecular dynamics does not reach an equilibrium state, it may be approximated in the…

Statistical Mechanics · Physics 2019-01-23 Romain Bachelard , Nicola Piovella , Shamik Gupta

We present numerical solutions of the semi-classical Boltzmann-Vlasov equation for fermion particle-antiparticle production by strong electric fields in boost-invariant coordinates in (1+1) and (3+1) dimensional QED. We compare the…

High Energy Physics - Phenomenology · Physics 2009-09-02 John F. Dawson , B. Mihaila , F. Cooper

Standard derivations of the functional integral in non-equilibrium quantum field theory are based on the discrete time representation. In this work we derive the non-equilibrium functional integral for non-interacting bosons and fermions…

Mathematical Physics · Physics 2015-02-27 Filippo Bovo

A closed system of the equations for the local Bloch vectors and spin correlation functions is obtained by decomplexification of the Liouville-von Neumann equation for 4 magnetic particles with the exchange interaction that takes place in…

Statistical Mechanics · Physics 2011-07-05 E. A. Ivanchenko

We analyze the time evolution describing a quantum source for noninteracting particles, either bosons or fermions. The growth behaviour of the particle number (trace of the density matrix) is investigated, leading to spectral criteria for…

Mathematical Physics · Physics 2015-05-14 Maximilian Butz , Herbert Spohn

Using Schwinger's quantum action principle, dispersion relations are obtained for neutral scalar mesons interacting with bi-local sources. These relations are used as the basis of a method for representing the effect of interactions in the…

High Energy Physics - Theory · Physics 2009-10-28 Mark Burgess

It is known that time-dependent vacuum expectation value of the background field may lead to abundant particle production in the early Universe. In supersymmetric theories bosons and fermions are produced in a correlated manner that depends…

High Energy Physics - Phenomenology · Physics 2015-10-07 Olga Czerwinska , Seishi Enomoto , Zygmunt Lalak

The equilibrium distribution function determines macroscopic observables in statistical physics. While conventional methods correct equilibrium distributions in weakly nonlinear or near-integrable systems, they fail in strongly nonlinear…

Statistical Mechanics · Physics 2025-07-11 Jialin Zhang , Yong Zhang , Hong Zhao

This paper makes use of a one-dimensional kinetic model to investigate the nonlinear longitudinal dynamics of electron beams generated in the plasma under the influence of a self-generated electric field. It is expressed as where is a wave…

Plasma Physics · Physics 2016-09-19 N. S. Stepanov , L. A. Zelekson

We focus our attention on some relevant aspects of the beam-plasma instability in order to refine some features of the linear and non-linear dynamics. After a re-analysis of the Poisson equation and of the assumption dealing with the…

Plasma Physics · Physics 2020-10-23 Nakia Carlevaro , Matteo Del Prete , Giovanni Montani , Fabio Squillaci

We consider the time evolution of systems in which a spatially homogeneous scalar field is coupled to fermions. The quantum back-reaction is taken into account in one-loop approximation. We set up the basic equations and their…

High Energy Physics - Phenomenology · Physics 2016-09-06 Juergen Baacke , Katrin Heitmann , Carsten Patzold

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 analyse nonperturbatively signal transmission patterns in Green's functions of interacting quantum fields. Quantum field theory is re-formulated in terms of the nonlinear quantum-statistical response of the field. This formulation…

Quantum Physics · Physics 2008-11-26 L. I. Plimak , S. Stenholm

The time evolution of correlation functions in statistical systems is described by an exact functional differential equation for the corresponding generating functionals. This allows for a systematic discussion of non-equilibrium physics…

High Energy Physics - Theory · Physics 2009-10-30 Christof Wetterich
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