TY - JOUR
T1 - Kinetic and hydrodynamic theories of nonequilibrium fluctuations
AU - Marchetti, M. Cristina
AU - Dufty, James W.
N1 - Funding Information:
The authors are indebted to J.R. Dorfman and T. Kirkpatrick for helpful discussionsa nd for preprints of their work. This researchw as supportedb y a grant from the National Science Foundation.
PY - 1983/3
Y1 - 1983/3
N2 - A unified formulation of both transport and fluctuations in a low density nonequilibrium gas is described. The method is based on an analysis of a generating functional for fluctuations of the single particle phase space density. It is shown that the first functional derivative obeys an inhomogeneous nonlinear Boltzmann equation, from which the dynamics of multi-space and -time fluctuations may be obtained by suitable functional differentiation. In particular, the equations for two-time and equal time fluctuations are obtained to illustrate the method. In this way, the description of nonequilibrium fluctuations in a low density gas is put on the same theoretical basis as the usual Boltzmann kinetic theory. A hydrodynamic theory of fluctuations also may be derived from the kinetic theory; the procedure and results are indicated.
AB - A unified formulation of both transport and fluctuations in a low density nonequilibrium gas is described. The method is based on an analysis of a generating functional for fluctuations of the single particle phase space density. It is shown that the first functional derivative obeys an inhomogeneous nonlinear Boltzmann equation, from which the dynamics of multi-space and -time fluctuations may be obtained by suitable functional differentiation. In particular, the equations for two-time and equal time fluctuations are obtained to illustrate the method. In this way, the description of nonequilibrium fluctuations in a low density gas is put on the same theoretical basis as the usual Boltzmann kinetic theory. A hydrodynamic theory of fluctuations also may be derived from the kinetic theory; the procedure and results are indicated.
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U2 - 10.1016/0378-4371(83)90188-7
DO - 10.1016/0378-4371(83)90188-7
M3 - Article
AN - SCOPUS:0008313538
SN - 0378-4371
VL - 118
SP - 205
EP - 216
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-3
ER -