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Stochastic processes with non-additive fluctuations

Author

Listed:
  • West, B.J.
  • Bulsara, A.R.
  • Lindenberg, K.
  • Seshadri, V.
  • Shuler, K.E.

Abstract

We present a comparison of the Fokker-Planck equations obtained by the Itô prescription and by the Stratonovich prescription for physical systems described by a Langevin equation with non-additive fluctuations. Our main conclusion is that the Stratonovich prescription is the one that should always be used to describe physical systems. This conclusion is shown to be consistent with results obtained from path integral and Master equation approaches.

Suggested Citation

  • West, B.J. & Bulsara, A.R. & Lindenberg, K. & Seshadri, V. & Shuler, K.E., 1979. "Stochastic processes with non-additive fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 97(2), pages 211-233.
    • Handle: RePEc:eee:phsmap:v:97:y:1979:i:2:p:211-233
    DOI: 10.1016/0378-4371(79)90103-1
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    References listed on IDEAS

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    1. Rodríguez, R.F. & Van Kampen, N.G., 1976. "Systematic treatment of fluctuations in a nonlinear oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(2), pages 347-362.
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