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Dissipative contributions of internal multiplicative noise

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  • Seshadri, V.
  • Lindenberg, Katja

Abstract

We analyze the relaxation of a spin interacting with a heat bath of other spins, in an external magnetic field, starting from a fully dynamical (Hamiltonian) description. We derive a generalized Langevin equation for the spin system in which the initial conditions of the bath spins act as fluctuations. The generalized Langevin equation has multiplicative fluctuations and nonlinear dissipation (relaxation) contributions which obey a fluctuation-dissipation theorem. As a natural consequence, our spin system relaxes to a canonical distribution.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:115:y:1982:i:3:p:501-518
    DOI: 10.1016/0378-4371(82)90036-X
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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. Kelley, Allen C., 1964. "The London Capital Market and Australia, 1870–1914. By A. R. Hall. Canberra: Australian National University Press, 1963. Pp. xiii, 221. 30s," The Journal of Economic History, Cambridge University Press, vol. 24(3), pages 399-401, September.
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    1. 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.

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