Abstract:
The evolution of a spinlike variable in a double potential well that depends upon both angular coordinates is investigated as the system is subjected to both deterministic damping and stochastic noise linked by the fluctuation-dissipation relationship. A variational procedure appropriate for large barrier-to-noise ratio is adopted, and it can be seen that the resulting Euler-Lagrange equation introduces an angle-dependent field conjugate to the leading Fokker-Planck eigenfunction. In this way the spectral problem of the Fokker-Planck operator is approximated by two coupled first-order partial-differential equations, whose solutions allow the determination of the relaxing probability distribution and the equilibration current in almost all phase-space regions. A detailed application to the Lipkin model of many-body theory is presented. © 1991 The American Physical Society.
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Citas:
---------- APA ----------
(1991)
. Transitions between metastable states in a solid double well. Physical Review A, 44(6), 3559-3569.
http://dx.doi.org/10.1103/PhysRevA.44.3559---------- CHICAGO ----------
Hernandez, E.S.
"Transitions between metastable states in a solid double well"
. Physical Review A 44, no. 6
(1991) : 3559-3569.
http://dx.doi.org/10.1103/PhysRevA.44.3559---------- MLA ----------
Hernandez, E.S.
"Transitions between metastable states in a solid double well"
. Physical Review A, vol. 44, no. 6, 1991, pp. 3559-3569.
http://dx.doi.org/10.1103/PhysRevA.44.3559---------- VANCOUVER ----------
Hernandez, E.S. Transitions between metastable states in a solid double well. 1991;44(6):3559-3569.
http://dx.doi.org/10.1103/PhysRevA.44.3559