Effects of Tsallis distribution on parametric resonance in chiral phase transitions

Author:

Ishihara Masamichi1

Affiliation:

1. Department of Human Life Studies, Koriyama Women’s University, Koriyama 963-8503, Japan

Abstract

The parametric resonance was studied in chiral phase transitions when the momentum distribution is described by a Tsallis distribution. A Tsallis distribution has two parameters, the temperature [Formula: see text] and the entropic index [Formula: see text]. The amplification was estimated in two cases: (1) expansionless case and (2) one-dimensional (1D) expansion case. In an expansionless case, the temperature [Formula: see text] is constant, and the amplified modes as a function of [Formula: see text] were calculated for various [Formula: see text]. In 1D expansion case, the temperature [Formula: see text] decreases as a function of the proper time, and the amplification as a function of the transverse momentum was calculated for various [Formula: see text]. In the expansionless case, the following facts were found: (1) the larger the value [Formula: see text] is, the softer the amplified modes are for the first and second resonance bands, (2) the amplified mode of the first resonance band decreases and vanishes, as the temperature [Formula: see text] increases and (3) the amplified mode of the second resonance band decreases and approaches to zero, as the temperature [Formula: see text] increases. In 1D expansion case, the following facts were found: (1) the soft mode is amplified, (2) the amplification is extremely strong around the amplified mode of the first resonance band at [Formula: see text] and (3) the magnitude of the amplification as a function of transverse momentum oscillates around the amplified mode of the first resonance band at [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Nuclear and High Energy Physics

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