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On the path integral for diffusion in curved spaces

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  • Dekker, H.

Abstract

The Onsager-Machlup Lagrangian for diffusion processes in curved spaces is determined by evaluating the covariant path integral by means of a spectral analysis of smooth trajectories in Riemannian normal coordinates. The Lagrangian involves a novel curvature scalar potential term v=−(18)R. The present treatment replaces an earlier one.

Suggested Citation

  • Dekker, H., 1980. "On the path integral for diffusion in curved spaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 103(3), pages 586-596.
    • Handle: RePEc:eee:phsmap:v:103:y:1980:i:3:p:586-596
    DOI: 10.1016/0378-4371(80)90027-8
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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.
    2. Langouche, F. & Roekaerts, D. & Tirapegui, E., 1980. "WKB-type expansion for Langevin equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(2), pages 301-323.
    3. L. Ingber, 1986. "Statistical mechanics of neocortical interactions," Lester Ingber Papers 86ni, Lester Ingber.
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