Uniform shear flow under thermally relativistic limit: Case of zero Lorentz contraction

Ryosuke Yano and Kojiro Suzuki

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 19, 4222-4230

Abstract: The uniform shear flow (USF) under the thermally relativistic limit is discussed on the basis of Truesdell’s theory of the USF for the nonrelativistic gas, when the Lorentz contraction is negligible. We investigate the solution of the USF under the thermally relativistic limit using the pseudo Maxwellian molecule. Under the thermally relativistic limit, solutions of seven moment equations for the USF, which are obtained from Grad’s 14 moment equations by Israel–Stewart, violate the positivity of the pressure tensor, when the dimensionless truncation number is larger than the threshold value owing to the contribution of the dynamic pressure, whereas solutions of six moment equations for the USF never violate the positivity of the pressure tensor.

Keywords: Relativistic Boltzmann equation; Pseudo Maxwellian molecule; Truesdell’ USF theory; Thermally relativistic limit; Zero Lorentz contraction; Israel–Stewart theory (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437113005049
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:19:p:4222-4230

DOI: 10.1016/j.physa.2013.06.006

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().