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Prog. Theor. Phys. Vol. 69 No. 4 (1983) pp. 1085-1090

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Some Results in the Description of Systems under the Influence of Dichotomous Noise

J. M. Sancho and M. San Miguel

Departamento de Fisica Teórica, Universidad de Barcelona, Diagonal, 647, Barcelona-28

(Received October 26, 1982)

Abstract:

Equations for the probability density of stochastic equations with dichotomous noise are investigated. We obtain the stationary distribution for a general equation which is nonlinear in the noise and also a closed equation for the probability density when a gaussian white noise is added. We comment on brownian oscillators with stochastic frequencies.


URL : http://ptp.ipap.jp/link?PTP/69/1085/
DOI : 10.1143/PTP.69.1085

[ Full Text PDF : FREE ACCESS (270K) ] Citation:


References:

  1. See the papers by W. Horsthemke, R. Lefever, M. San Miguel and J. M. Sancho in “Stochastic Nonlinear Systems in Physics, Chemistry and Biology”, Synergetic Series, vol. 8 (Springer Verlag, Berlin, 1981).
  2. R. C. Bourret, U. Frisch and A. Pouquet, Physics 65 (1973), 303.
  3. K. Kitahara, W. Horsthemke and R. Lefever, Phys. Lett. A 70 (1979), 377[CrossRef].
    K. Kitahara, W. Horsthemke, R. Lefever and Y. Inaba, Prog. Theor. Phys. 64 (1980), 1233[PTP].
  4. V. E. Shapiro and W. M. Loginov, Physica A 91 (1978), 563[CrossRef].
  5. M. San Miguel and J. M. Sancho, Z. Phys. B 43 (1981), 361[CrossRef].
  6. R. Kubo, J. Math. Phys. 4 (1963), 174[CrossRef].
  7. E. A. Novikov, Sov. Phys. -JETP, 20 (1965), 1290.
  8. J. M. Sancho and M. San Miguel, Z. Phys. B 36 (1980), 357.
  9. B. J. West, K. Linderberg and W. Seshadri, Physica A 102 (1980), 470[CrossRef].
  10. N. G. Van Kampen, Physica A 102 (1980), 489[CrossRef].
  11. P. Hänggi, Phys. Lett. A 78 (1980), 304[CrossRef].
  12. J. M. Sancho, M. San Miguel, S. L. Katz and J. D. Gunton, Phys. Rev. A 26 (1982), 1589[APS].