Dispersion relations of plane waves in system of hard-disk-like rotating gases

Wu C-S Institute, 2/F, No. 24, First Section, Lane 260, Muzha Road, Taipei, Taiwan, 116, P.R. China

Corresponding author: qitaichu09@gmail.com

Received: 2 November 2009
Revised: 24 January 2010
Accepted: 25 August 2010
Published online: 30 November 2010

Abstract

The discrete kinetic model is used to study the propagation of sound waves in system of hard-disk-like rotating gases. The anomalous (negative) attenuation or amplification which is possibly due to the binary collision of a dilute-enough rotating disk system (each with opposite-sign rotating direction or angular momenta but the total (net) angular momenta is zero) or microreversibility might arise from the implicit balance of the angular momentum during encounter. Our results might give useful idea to the instrumentation set-up of possible acceleration of cosmic rays passing through this kind of channel and direct or inverse cascades in two-dimensional rotating gases of astrophysical problems.