### Abstract

The study of the isotropization of momentum is important in heavy ion collisions. To do this we construct a generalized hydrodynamical equation system, in which the anisotropy of the momentum distribution is added as a new variable. These equations are derived from the moment equations of the relativistic Boltzmann equation where the closure of the set is achieved by assuming a particular class of initial conditions. The equations are then explicitly solved for two uniform interpenetrating hadron streams. The collision cross sections are the bare hadron cross sections; the presence of the other hadrons can be simulated by the use of a density- and energy-density-dependent temperature and mass, taken over from self-consistent calculations. The results are compared with other theoretical results. We find that the isotropization occurs sufficiently rapidly for medium energy head-on collisions to reach local thermal equilibrium.

Original language | English |
---|---|

Pages (from-to) | 141-148 |

Number of pages | 8 |

Journal | Physical Review C - Nuclear Physics |

Volume | 35 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1987 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

*Physical Review C - Nuclear Physics*,

*35*(1), 141-148. https://doi.org/10.1103/PhysRevC.35.141

**Heavy ion collisions and anisotropic hydrodynamics.** / Lovas, I.; Wolf, G.; Balazs, N. L.

Research output: Contribution to journal › Article

*Physical Review C - Nuclear Physics*, vol. 35, no. 1, pp. 141-148. https://doi.org/10.1103/PhysRevC.35.141

}

TY - JOUR

T1 - Heavy ion collisions and anisotropic hydrodynamics

AU - Lovas, I.

AU - Wolf, G.

AU - Balazs, N. L.

PY - 1987

Y1 - 1987

N2 - The study of the isotropization of momentum is important in heavy ion collisions. To do this we construct a generalized hydrodynamical equation system, in which the anisotropy of the momentum distribution is added as a new variable. These equations are derived from the moment equations of the relativistic Boltzmann equation where the closure of the set is achieved by assuming a particular class of initial conditions. The equations are then explicitly solved for two uniform interpenetrating hadron streams. The collision cross sections are the bare hadron cross sections; the presence of the other hadrons can be simulated by the use of a density- and energy-density-dependent temperature and mass, taken over from self-consistent calculations. The results are compared with other theoretical results. We find that the isotropization occurs sufficiently rapidly for medium energy head-on collisions to reach local thermal equilibrium.

AB - The study of the isotropization of momentum is important in heavy ion collisions. To do this we construct a generalized hydrodynamical equation system, in which the anisotropy of the momentum distribution is added as a new variable. These equations are derived from the moment equations of the relativistic Boltzmann equation where the closure of the set is achieved by assuming a particular class of initial conditions. The equations are then explicitly solved for two uniform interpenetrating hadron streams. The collision cross sections are the bare hadron cross sections; the presence of the other hadrons can be simulated by the use of a density- and energy-density-dependent temperature and mass, taken over from self-consistent calculations. The results are compared with other theoretical results. We find that the isotropization occurs sufficiently rapidly for medium energy head-on collisions to reach local thermal equilibrium.

UR - http://www.scopus.com/inward/record.url?scp=33544466110&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33544466110&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.35.141

DO - 10.1103/PhysRevC.35.141

M3 - Article

AN - SCOPUS:33544466110

VL - 35

SP - 141

EP - 148

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 1

ER -