Abstract
It is explained why any reduced descriptions, such as mean field approximation, are stochastic in nature. It is shown that the introduction of this stochastic dynamics leads to a predictive theory in a statistical sens whatever the individual trajectories are characterized by the occurrence of bifurcations, instabilities or phase transitions. Concerning nuclear matter, the spinodal instability is discussed. In such a critical situation, the possibility to replace the stochastic part of the collision integral in the Boltzmann-Langevin model by the numerical noise associated with the finite number of test particles in ordinary BUU treatment is studied. It is shown that the fingerprints of these instabilities are kept during the evolution because of the relatively long recombination time compared with the typical time scales imposed by the Coulomb repulsion and the possible collective expansion. (author) 5 refs., 12 figs.
Chomaz, Ph;
[1]
Colonna, M;
Guarnera, A
[1]
- Grand Accelerateur National d`Ions Lourds (GANIL), 14 - Caen (France)
Citation Formats
Chomaz, Ph, Colonna, M, and Guarnera, A.
Fingerprints of dynamical instabilities.
France: N. p.,
1993.
Web.
Chomaz, Ph, Colonna, M, & Guarnera, A.
Fingerprints of dynamical instabilities.
France.
Chomaz, Ph, Colonna, M, and Guarnera, A.
1993.
"Fingerprints of dynamical instabilities."
France.
@misc{etde_10138940,
title = {Fingerprints of dynamical instabilities}
author = {Chomaz, Ph, Colonna, M, and Guarnera, A}
abstractNote = {It is explained why any reduced descriptions, such as mean field approximation, are stochastic in nature. It is shown that the introduction of this stochastic dynamics leads to a predictive theory in a statistical sens whatever the individual trajectories are characterized by the occurrence of bifurcations, instabilities or phase transitions. Concerning nuclear matter, the spinodal instability is discussed. In such a critical situation, the possibility to replace the stochastic part of the collision integral in the Boltzmann-Langevin model by the numerical noise associated with the finite number of test particles in ordinary BUU treatment is studied. It is shown that the fingerprints of these instabilities are kept during the evolution because of the relatively long recombination time compared with the typical time scales imposed by the Coulomb repulsion and the possible collective expansion. (author) 5 refs., 12 figs.}
place = {France}
year = {1993}
month = {Dec}
}
title = {Fingerprints of dynamical instabilities}
author = {Chomaz, Ph, Colonna, M, and Guarnera, A}
abstractNote = {It is explained why any reduced descriptions, such as mean field approximation, are stochastic in nature. It is shown that the introduction of this stochastic dynamics leads to a predictive theory in a statistical sens whatever the individual trajectories are characterized by the occurrence of bifurcations, instabilities or phase transitions. Concerning nuclear matter, the spinodal instability is discussed. In such a critical situation, the possibility to replace the stochastic part of the collision integral in the Boltzmann-Langevin model by the numerical noise associated with the finite number of test particles in ordinary BUU treatment is studied. It is shown that the fingerprints of these instabilities are kept during the evolution because of the relatively long recombination time compared with the typical time scales imposed by the Coulomb repulsion and the possible collective expansion. (author) 5 refs., 12 figs.}
place = {France}
year = {1993}
month = {Dec}
}