%0 Journal Article %1 WOS:000315711200040 %A Mendoza, M %A Karlin, I %A Succi, S %A Herrmann, H J %C TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND %D 2013 %I IOP PUBLISHING LTD %J JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT %K (theory); Boltzmann and equation} gases kinetic liquids; of processes/heat properties theory transfer transport {transport %R 10.1088/1742-5468/2013/02/P02036 %T Ultrarelativistic transport coefficients in two dimensions %X We compute the shear and bulk viscosities, as well as the thermal conductivity, of an ultrarelativistic fluid obeying the relativistic Boltzmann equation in 2 + 1 space time dimensions. The relativistic Boltzmann equation is taken in the single relaxation time approximation, based on two approaches, the first due to Marle and using the Eckart decomposition, and the second proposed by Anderson and Witting and using the Landau-Lifshitz decomposition. In both cases, the local equilibrium is given by a Maxwell-Juttner distribution. It is shown that, apart from slightly different numerical prefactors, the two models lead to a different dependence of the transport coefficients on the fluid temperature, quadratic and linear, for the case of Marle and Anderson-Witting, respectively. However, by modifying the Marle model according to the prescriptions given in previous results, it is found that the temperature dependence becomes the same as for the Anderson-Witting model.

@article{WOS:000315711200040, abstract = {We compute the shear and bulk viscosities, as well as the thermal conductivity, of an ultrarelativistic fluid obeying the relativistic Boltzmann equation in 2 + 1 space time dimensions. The relativistic Boltzmann equation is taken in the single relaxation time approximation, based on two approaches, the first due to Marle and using the Eckart decomposition, and the second proposed by Anderson and Witting and using the Landau-Lifshitz decomposition. In both cases, the local equilibrium is given by a Maxwell-Juttner distribution. It is shown that, apart from slightly different numerical prefactors, the two models lead to a different dependence of the transport coefficients on the fluid temperature, quadratic and linear, for the case of Marle and Anderson-Witting, respectively. However, by modifying the Marle model according to the prescriptions given in previous results, it is found that the temperature dependence becomes the same as for the Anderson-Witting model.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND}, author = {Mendoza, M and Karlin, I and Succi, S and Herrmann, H J}, biburl = {https://www.bibsonomy.org/bibtex/27daf262e6f73e7637381ffa26618a5f2/ppgfis_ufc_br}, doi = {10.1088/1742-5468/2013/02/P02036}, interhash = {deee465493840e6841c3cdb803eff8b3}, intrahash = {7daf262e6f73e7637381ffa26618a5f2}, issn = {1742-5468}, journal = {JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT}, keywords = {(theory); Boltzmann and equation} gases kinetic liquids; of processes/heat properties theory transfer transport {transport}, publisher = {IOP PUBLISHING LTD}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Ultrarelativistic transport coefficients in two dimensions}, tppubtype = {article}, year = 2013 }