RT Journal Article
T1 Ring kinetic-theory for tagged-particle problems in lattice gases
A1 Brito, Ricardo
A1 Ernst, M. H.
AB The kinetic theory for tagged-particle problems in lattice-gas cellular automata is extended beyond Boltzmann's mean-field approximation by including correlated ring-type collisions. This theory provides explicit expressions for the velocity autocorrelation function (VACF) for all times in terms of the ring-collision integral, as well as corrections to the Boltzmann values of the transport coefficients. For times long compared to the mean free time, the ring integral equation yields the phenomenological mode-coupling theory and the long-time tails. For intermediate times it describes a slow transition from initial exponential decay to the long-time tails. At short times the ring kinetic theory is exact. In particular, deviations from the Boltzmann result in the VACF of three-dimensional systems after two time steps are calculated explicitly and compared with computer simulations.
PB American Physical Society
SN 1050-2947
YR 1992
FD 1992-07-15
LK https://hdl.handle.net/20.500.14352/58614
UL https://hdl.handle.net/20.500.14352/58614
LA eng
NO ©1992 The American Physical Society. It is a pleasure to thank J.W. Dufty, D. Frenkel, M. van der Hoef, and G.A. van Velzen for many stimulating and clarifying discussions. R.B. acknowledges support from a DGICYT Project No. PB88-0140 and M.H.E from a NATO Collaborative Research Grant.
NO DGICYT
DS Docta Complutense
RD 7 abr 2025