Abstract:
We extend the master-equation treatment of dynamical evolution of a system-plus-reservoir configuration including the propagation of initial correlations as a noise source. Specializing into the quantum harmonic oscillator coupled to a fermionic heat bath, we develop a model for the diffusion matrix in the space of diagonal density operators. It can be shown that mean values of observables undergo Langevin-like motion and, in particular, that the mean value and dispersion of the oscillator quanta approach the canonical equilibrium values. A final interpretation of the characteristics and role of the noise source is given. © 1993 The American Physical Society.
Referencias:
- F. Haake, in Statistical Treatment of Open Systems by Generalized Master Equations, Springer Tracts in Modern Physics Vol. 66 (Springer, Berlin, 1973); W. Zwanzig, in Lectures in Theoretical Physics, edited by W. S. Brittin, B. W. Downs, and J. Downs (Wiley, New York, 1961); Balescu, R., (1975) Equilibrium and Nonequilibrium Statistical Mechanics, , Wiley, New York
- Dorso, C.O., Hernández, E.S., (1982) Phys. Rev. C, 26, p. 528
- Lindenberg, K., West, B., (1984) Phys. Rev. A, 30, p. 568
- Cortés, E., West, B., Lindenberg, K., (1985) J. Chem. Phys., 82, p. 2708
- West, B., Lindenberg, K., (1985) J. Chem. Phys., 83, p. 4118
- Despósito, M.A., Hernández, E.S., Phys. Rev. A (to be published); Dorso, C.O., Randrup, J., ; Ayik, S., Grègoire, C., (1990) Nucl. Phys., 513 A, p. 187
- Randrup, J., Remaud, B., (1990) Nucl. Phys., 514 A, p. 339
- Bixon, M., Zwanzig, R., (1969) Phys. Rev., 187, p. 267
- Van Kampen, N.G., (1981) Stochastic Processes in Physics and Chemistry, , North Holland, New York
- Suraud, E., Ayik, S., Stryjewski, J., Belkacem, M., (1990) Nucl. Phys, 519 A, p. 171c
- Chomaz, Ph., Burgio, G.F., Randrup, J., (1991) Phys. Lett. B, 254, p. 340
- (1991) Nucl. Phys., 529 A, p. 157
- Benhassine, B., Farine, M., Idier, D., Hernández, S., Remaud, B., Sébille, F., ; Hernández, E.S., Dorso, C.O., Quantal Brownian motion in stationary and nonstationary fermionic reservoirs (1984) Physical Review C, 29, p. 1510
- Hernández, E.S., Dorso, C.O., (1984) Phys. Rev. C, 30, p. 1711
- Hernández, E.S., Kievsky, A., (1985) Phys. Rev. A, 32, p. 1810
- Vega, J.L., Hernández, E.S., Kievsky, A., (1990) Phys. Lett. B, 144, p. 134
- Despósito, M.A., Hernández, E.S., (1988) Physica A, 148, p. 267
- Hernández, E.S., Cataldo, H.M., (1987) Phys. Lett. A, 124, p. 489
- Cataldo, H.M., Hernández, E.S., (1988) J. Stat. Phys., 53, p. 673
- Hernández, E.S., Cataldo, H.M., (1991) J. Phys. A, 24, p. 1409
Citas:
---------- APA ----------
Dorso, C.O., Hernndez, E.S. & Vega, J.L.
(1993)
. Master Langevin equations: Origin of asymptotic diffusion. Physical Review E, 47(1), 300-304.
http://dx.doi.org/10.1103/PhysRevE.47.300---------- CHICAGO ----------
Dorso, C.O., Hernndez, E.S., Vega, J.L.
"Master Langevin equations: Origin of asymptotic diffusion"
. Physical Review E 47, no. 1
(1993) : 300-304.
http://dx.doi.org/10.1103/PhysRevE.47.300---------- MLA ----------
Dorso, C.O., Hernndez, E.S., Vega, J.L.
"Master Langevin equations: Origin of asymptotic diffusion"
. Physical Review E, vol. 47, no. 1, 1993, pp. 300-304.
http://dx.doi.org/10.1103/PhysRevE.47.300---------- VANCOUVER ----------
Dorso, C.O., Hernndez, E.S., Vega, J.L. Master Langevin equations: Origin of asymptotic diffusion. 1993;47(1):300-304.
http://dx.doi.org/10.1103/PhysRevE.47.300