Diffusion in very chaotic hamiltonian systems |
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Authors: | Henry DI Abarbanel John David Crawford |
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Institution: | Lawrence Berkeley Laboratory, University of California, Berkeley, CA 94720, USA |
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Abstract: | We study nonintegrable hamiltonian dynamics: H(I,θ) = H0(I) + kH1(I,θ), for large k, that is, far from integrability. An integral representation is given for the conditional probability P(I,θ, t¦I0, θ0, t0) that the system is at I, θ at t, given it was at I0, θ0 at t0. By discretizing time into steps of size ?, we show how to evaluate physical observables for large k, fixed ?. An explicit calculation of a diffusion coefficient in a two degrees of freedom problem is reported. Passage to ? = 0, the original hamiltonian flow, is discussed. |
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