Evolution of non-stationary pulses in a cold magnetized quark-gluon plasma

Fogaca, D. A. and Fariello, R. and Navarra, F. S. and Stepanyants, Y. A. (2020) Evolution of non-stationary pulses in a cold magnetized quark-gluon plasma. Communication on Nonlinear Sciences and Numerical Simulation, 83:105144. ISSN 1007-5704


Abstract

We study weakly nonlinear wave perturbations propagating in a cold nonrelativistic and magnetized ideal quark-gluon plasma. We show that such perturbations can be described by the Ostrovsky equation. The derivation of this equation is presented for the baryon den- sity perturbations. Then we show that the generalized nonlinear Schrödinger (NLS) equa- tion can be derived from the Ostrovsky equation for the description of quasi-harmonic wave trains. This equation is modulational stable for the wave number k < k_m and unstable for k > k_m , where k_m is the wave number where the group velocity has a maximum. We study numerically the dynamics of initial wave packets with the different carrier wave numbers and demonstrate that depending on the initial parameters they can evolve either into the NLS envelope solitons or into dispersive wave trains.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Permanent restricted access to Published version in accordance with the copyright policy of the publisher.
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Sciences (6 Sept 2019 -)
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Sciences (6 Sept 2019 -)
Date Deposited: 05 Jun 2020 02:48
Last Modified: 11 Jun 2020 03:47
Uncontrolled Keywords: Ostrovsky equation; quantum chromodynamics; quark-gluon plasma; envelope solitons
Fields of Research (2008): 02 Physical Sciences > 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics > 020202 Nuclear Physics
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
01 Mathematical Sciences > 0102 Applied Mathematics > 010299 Applied Mathematics not elsewhere classified
Socio-Economic Objectives (2008): E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: 10.1016/j.cnsns.2019.105144
URI: http://eprints.usq.edu.au/id/eprint/37718

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