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We review the idea of generating non-extensive stationary distributions based on abstract composition rules for the subsystem energies, in particular the relativistic generalized Boltzmann equation method. The thermodynamical behavior of…

High Energy Physics - Phenomenology · Physics 2014-11-18 Tamas S. Biro , Gabor Purcsel , Karoly Urmossy

We investigate nonextensive effects on phase transition in nuclear matter in the context Walecka many-body field theory. Changes in the general behavior are observed when the results calculated for the nuclear matter at vanishing baryon…

Nuclear Theory · Physics 2015-05-13 F. I. M. Pereira , R. Silva , J. S. Alcaniz

We present a possible extension of the usual relativistic nuclear mean field models widely used to describe nuclear matter towards accounting for the influence of possible intrinsic fluctuations caused by the environment. Rather than…

Nuclear Theory · Physics 2011-04-29 J. Rozynek , G. Wilk

The Walecka many-body field theory is investigated in the context of quantum nonextensive statistical mechanics, characterized by a dimensionless parameter $q$. We consider nuclear matter described statistically by a power-law distribution…

Nuclear Theory · Physics 2008-11-26 F. I. M. Pereira , R. SIlva , J. S. Alcaniz

The energy spectrum of nucleons in high-density nuclear matter is investigated in the framework of relativistic meson-nucleon many-body theory, employing the $1/N$ expansion method. The coupling of the nucleon with the particle-hole…

Nuclear Theory · Physics 2009-09-25 Kazuhiro Tanaka

We investigate the nonextensivity and the q-distribution of a relativistic gas under an external electromagnetic field. We derive a formula expression of the nonextensive parameter q based on the relativistic generalized Boltzmann equation,…

Statistical Mechanics · Physics 2015-08-10 Zhipeng Liu , Jiulin Du , Lina Guo

We develop an asymmetric relativistic Fermi gas model for the study of the electroweak nuclear response in the quasielastic region. The model takes into account the differences between neutron and proton densities in asymmetric (N > Z)…

Nuclear Theory · Physics 2018-09-06 M. B. Barbaro , A. De Pace , T. W. Donnelly , J. A. Caballero , G. D. Megias , J. W. Van Orden

A new non-relativistic expansion in terms of the nucleon's momentum inside nuclear matter of the current for isobar electro-excitation from the nucleon is performed. Being exact with respect to the transferred energy and momentum, this…

Nuclear Theory · Physics 2008-11-26 J. E. Amaro , M. B. Barbaro , J. A. Caballero , T. W. Donnelly , A. Molinari

We study the quantum evolution of many-body Fermi gases in three dimensions, in arbitrarily large domains. We consider both particles with non-relativistic and with relativistic dispersion. We focus on the high-density regime, in the…

Mathematical Physics · Physics 2023-04-05 Luca Fresta , Marcello Porta , Benjamin Schlein

We calculate relativistic Fermi liquid parameters (RFLPs) for the description of the properties of dense nuclear matter (DNM) using Effective Chiral Model. Analytical expressions of Fermi liquid parameters (FLPs) are presented both for the…

High Energy Physics - Phenomenology · Physics 2008-09-18 Kausik Pal , Subhrajyoti Biswas , Abhee K. Dutt-Mazumder

An overview on the relativistic Dirac-Brueckner approach to the nuclear many-body problem is given. Different approximation schemes are discussed, with particular emphasis on the nuclear self-energy and the saturation mechanism of nuclear…

Nuclear Theory · Physics 2017-01-25 Christian Fuchs

It is argued that the factorization of compound probability over subsystems is a consequence of the existence of thermodynamic equilibrium in the composite system having Tsallis entropy. So it should be respected by all exact calculations…

Statistical Mechanics · Physics 2014-10-13 Qiuping A. Wang , Alain Le Mehaute

We present a view of the non-extensive thermodynamics based on general composition rules. A formal logarithm maps these rules to the addition, which can be used to generate stationary distributions by standard techniques. We review the most…

High Energy Physics - Phenomenology · Physics 2009-11-13 T. S. Biro , G. Purcsel

By a natural nonextensive generalization of the conservation of energy in the q-kinetic theory, we study the nonextensivity and the power-law distributions for the many-body systems with the self-gravitating long-range interactions. It is…

Statistical Mechanics · Physics 2015-08-10 Jiulin Du

Relativistic effects on dispersion in a degenerate electron gas are discussed by comparing known response functions derived relativistically (by Jancovici) and nonrelativistically (by Lindhard). The main distinguishing feature is one-photon…

Plasma Physics · Physics 2009-11-11 J. McOrist , D. B. Melrose , J. I. Weise

The Fermi gas model, while providing a reasonable qualitative description of the continuum nuclear response, does not include the effects of dynamical nucleon-nucleon correlations in the initial and final states, that have long been…

Nuclear Theory · Physics 2007-05-23 Omar Benhar

The variational method in a reformulated Hamiltonian formalism of Quantum Electrodynamics is used to derive relativistic wave equations for systems consisting of n fermions and antifermions of various masses. The derived interaction kernels…

Quantum Physics · Physics 2015-06-17 Mohsen Emami-Razavi , Nantel Bergeron , Jurij W. Darewych

For a general, associative addition rule defining a non-extensive thermodynamics we construct the strict monotonic function, which transforms it to an additive quantity. We investigate the evolution of one-particle distributions in the…

High Energy Physics - Phenomenology · Physics 2009-11-11 T. S. Biro , G. Purcsel

The multiplicity distribution of particles in relativistic gases is studied in terms of Tsallis' nonextensive statistics. For an entropic index q>1 the multiplicity distribution is wider than the Poisson distribution with the same average…

Statistical Mechanics · Physics 2007-05-23 C. E. Aguiar , T. Kodama

We review a semi-microscopic model of nuclear parton distributions, which takes into account a number of nuclear effects including Fermi motion and nuclear binding, nuclear meson-exchange currents and off-shell corrections to bound nucleon…

High Energy Physics - Phenomenology · Physics 2016-12-21 S. A. Kulagin
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