%0 Book Section %1 statphys23_0103 %A Guerrero, A.C. Perez %A Aquino, J.I. Jimenez %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K irreversible non-equilibrium processes statphys23 thermodynamics topic-3 %T Riemann problem aplied to far from thermodynamical equilibrium processes during heat transport %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=103 %X In this work we analyze the case of a heat pulse propagating inside a plasma. This problem has been studied by means of non-equilibrium irreversible thermodynamics leading to a non-linear relaxation constitutive equation of the heat transport known as Maxwell-Cattaneo-Vernotte equation. This constitutive equation jointly with the energy equation produces hyperbolic equations as a function of temperature which are of conservative type. Our goal is to solve these equations using the Riemann problem (IV Cauchy problem) finding the characteristic curves associated to the heat waves propagation and therefore to determine in which conditions heat shock waves appears.

@incollection{statphys23_0103, abstract = {In this work we analyze the case of a heat pulse propagating inside a plasma. This problem has been studied by means of non-equilibrium irreversible thermodynamics leading to a non-linear relaxation constitutive equation of the heat transport known as Maxwell-Cattaneo-Vernotte equation. This constitutive equation jointly with the energy equation produces hyperbolic equations as a function of temperature which are of conservative type. Our goal is to solve these equations using the Riemann problem (IV Cauchy problem) finding the characteristic curves associated to the heat waves propagation and therefore to determine in which conditions heat shock waves appears.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Guerrero, A.C. Perez and Aquino, J.I. Jimenez}, biburl = {https://www.bibsonomy.org/bibtex/265c336c7ec891ceccaf3aacd95c387bf/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {010b90455ef333e46940dee67e6e6be4}, intrahash = {65c336c7ec891ceccaf3aacd95c387bf}, keywords = {irreversible non-equilibrium processes statphys23 thermodynamics topic-3}, month = {9-13 July}, timestamp = {2007-06-20T10:16:11.000+0200}, title = {Riemann problem aplied to far from thermodynamical equilibrium processes during heat transport}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=103}, year = 2007 }