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Hamiltonian model for the Brownian motion of a rigid rotor

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  • Lindenberg, Katja
  • Mohanty, Udayan
  • Seshadri, V.

Abstract

We derive stochastic equations for the motion of a rigid rotor in a linear heat bath starting from a fully dynamical (Hamiltonian) description. We obtain a generalized Langevin equation for the angular velocity of the rotor in which the fluctuations in the torque arise from the initial conditions of the heat bath. The dissipation is in general nonlinear and is related to the fluctuations via a fluctuation-dissipation relation that is a natural consequence of our description.

Suggested Citation

  • Lindenberg, Katja & Mohanty, Udayan & Seshadri, V., 1983. "Hamiltonian model for the Brownian motion of a rigid rotor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 119(1), pages 1-16.
    • Handle: RePEc:eee:phsmap:v:119:y:1983:i:1:p:1-16
    DOI: 10.1016/0378-4371(83)90142-5
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    1. Micheline Thomine-Desmazures, 1965. "L'investigation psychosociologique en milieu rural," Économie rurale, Programme National Persée, vol. 64(1), pages 19-24.
    2. Nelson McClung, 1980. "Relevance in Economic Measurement: Public Inheritances," NBER Chapters, in: Modeling the Distribution and Intergenerational Transmission of Wealth, pages 289-319, National Bureau of Economic Research, Inc.
    3. Oppenheim, Felix E., 1971. "Comment: Defense of Noncognitivism Defended," American Political Science Review, Cambridge University Press, vol. 65(4), pages 1115-1116, December.
    4. Seshadri, V. & Lindenberg, Katja, 1982. "Dissipative contributions of internal multiplicative noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(3), pages 501-518.
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    Cited by:

    1. Cataldo, Horacio M., 1990. "Non-Markovian relaxation of a quantum system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 165(2), pages 249-269.

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