Simulating the Langevin force by simple noise in nuclear one-body dynamics

Journal Article · Wed Mar 31 23:00:00 EST 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.47.1395· OSTI ID:6610705

Colonna, M; Burgio, G F; Chomaz, P; Di Toro, M; Randrup, J ^[1]

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1. Grand Accelerateur National d'Ions Lourds, Boite Postale 5027, F-14021 Caen CEDEX (France) LNS, Viale Andrea Doria, Catania (Italy) Nuclear Science Division, Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720 (United States) Gesellschaft fuer Schwerionenforschung Darmstadt m.b.H., Postfach 11 05 52, D-6100 Darmstadt 11 (Germany)

For the purpose of addressing catastrophic phenomena in nuclear dynamics, we explore the possibility of simulating 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 the ordinary Boltzmann-Uehling-Uhlenbeck (BUU) treatment. Considering idealized two-dimensional matter, for which it is practical to simulate the Boltzmann-Langevin equation directly, we demonstrate that the number of test particles per nucleon can be adjusted so that the corresponding BUU calculation yields a good reproduction of the spontaneous clusterization occurring inside the spinodal region. This approximate method may therefore provide a relatively easy way to introduce meaningful fluctuations in simulations of unstable nuclear dynamics.

• DOE Contract Number: AC03-76SF00098
• OSTI ID: 6610705
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 47:4; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

663300 -- Nuclear Reactions & Scattering
General-- (1992-)
663450* -- Heavy-Ion-Induced Reactions & Scattering-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOLTZMANN EQUATION
CHARGED-PARTICLE REACTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUCTUATIONS
FLUID MECHANICS
HEAVY ION REACTIONS
HYDRODYNAMICS
INSTABILITY
LANGEVIN EQUATION
MANY-BODY PROBLEM
MECHANICS
NOISE
NUCLEAR FRAGMENTATION
NUCLEAR REACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
VARIATIONS