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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.

Registro:

Documento: Artículo
Título:Transitions between metastable states in a solid double well
Autor:Hernandez, E.S.
Filiación:Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Año:1991
Volumen:44
Número:6
Página de inicio:3559
Página de fin:3569
DOI: http://dx.doi.org/10.1103/PhysRevA.44.3559
Título revista:Physical Review A
ISSN:10502947
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v44_n6_p3559_Hernandez

Referencias:

  • Arrhenius, S., (1889) Z. Phys. Chem., 4, p. 226
  • Kramers, H.A., (1940) Physica, 7, p. 284
  • Matkowsky, B.J., Schuss, Z., Tier, C., (1984) J. Stat. Phys., 35, p. 443
  • Haken, H., (1975) Synergetics, , Springer-Verlag, Berlin
  • van Kampen, N.G., (1986) Stochastic Phenomena in Physics and Chemistry, , North-Holland, Amsterdam
  • Weiss, G.H., (1986) J. Stat. Phys., 42, p. 3
  • Hanggi, P., (1986) J. Stat. Phys., 42, p. 105
  • Mel'nikov, V.I., Meshkov, S.V., (1986) J. Chem. Phys., 85, p. 1018
  • Reichl, L.E., (1982) J. Chem. Phys., 77, p. 4199
  • Hron, H., Razavy, M., (1985) J. Stat. Phys., 38, p. 655
  • Dekker, H., (1986) Physica A, 135, p. 80
  • Englefield, M.J., (1988) J. Stat. Phys., 52, p. 383
  • Marchesoni, F., Sodano, P., Zannetti, M., (1988) Phys. Rev. Lett., 61, p. 1143
  • Hanggi, P., Jung, P., Marchesoni, F., (1989) J. Stat. Phys., 54, p. 1367
  • Landauer, R., Swanson, J.A., (1961) Phys. Rev., 121, p. 1668
  • Langer, J.S., (1969) Ann. Phys. (N.Y.), 54, p. 258
  • Matkowsky, B.J., Schuss, Z., (1982) Siam J. Appl. Math., 42, p. 835
  • Caroli, B., Caroli, C., Roulet, B., (1982) J. Stat. Phys., 28, p. 757
  • Gardiner, C.W., (1983) J. Stat. Phys., 30, p. 157
  • Landauer, R., (1988) J. Stat. Phys., 53, p. 233
  • Brener, Marchenko, V.I., Meshkov, S.V., (1983) Zh. Eksp. Teor. Fiz., 85, p. 2107
  • (1983) Sov. Phys.—JETP, 58, p. 1223
  • Weidenmuller, H.A., Shang, Stationary diffusion over a multidimensional potential barrier: A generalization of Kramers' formula (1984) Journal of Statistical Physics, 34, p. 191
  • Brinkman, H.C., (1956) Physica, 22, p. 149
  • Brown, W.F., (1959) J. Appl. Phys., 30, p. 130S
  • Brown, W.F., (1963) Phys. Rev., 130, p. 1677
  • Kumar, D., (1983) Stochastic Processes: Formalism and Applications, p. 186. , edited by, G. S. Agarwal, S. Dattagupta, Springer, Berlin
  • Néel, L., (1949) Ann. Geophys., 5, p. 99
  • Néel, L., Some theoretical aspects of rock-magnetism (1955) Advances in Physics, 4, p. 191
  • Ryter, D., (1967) Physica A, 142, p. 103
  • Ryter, D., Meyer, H., (1987) Physica A, 142, p. 103
  • Ryter, D., (1987) J. Stat. Phys., 49, p. 751
  • Hernandez, E.S., ; Jezek, D.M., Hernandez, E.S., Solari, H.G., (1986) Phys. Rev. C, 34, p. 297
  • Jezek, D.M., Hernandez, E.S., (1987) Phys. Rev. C, 35, p. 1555
  • Vignolo, C.E., Jezek, D.M., Hernandez, E.S., (1988) Phys. Rev. C, 38, p. 506
  • Jezek, D.M., Hernandez, E.S., (1990) Phys. Rev., 42, p. 96
  • Gerry, Ch. C., Kiefer, J., (1990) Phys. Rev. A, 41, p. 27
  • Gilmore, R., (1981) Catastrophe Theory for Scientists and Engineers, , Wiley, New York
  • Lipkin, H.J., Meshkov, N., Glick, A.J., (1965) Nucl. Phys., 62, p. 188
  • Risken, H., (1984) The Fokker-Planck Equation Methods of Solution and Applications, , Springer-Verlag, Berlin
  • Mitchell, A.R., Griffiths, D.F., (1980) The Finite Difference Method, , Wiley, New York
  • Luciani, J.F., Mora, P., Pellat, R., (1985) Phys. Fluids, 28, p. 835
  • Baldo, M., (1982) Physica, 114 A, p. 88

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