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Langevin molecular ...
Langevin molecular dynamics derived from Ehrenfest dynamics
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- Szepessy, Anders, 1960- (author)
- KTH,Matematik (Avd.)
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KTH Matematik (Avd) (creator_code:org_t)
- World Scientific, 2011
- 2011
- English.
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In: Mathematical Models and Methods in Applied Sciences. - : World Scientific. - 0218-2025. ; 21:11, s. 2289-2334
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- Stochastic Langevin molecular dynamics for nuclei is derived from the Ehrenfest Hamiltonian system (also called quantum classical molecular dynamics) in a KacZwanzig setting, with the initial data for the electrons stochastically perturbed from the ground state and the ratio M of nuclei and electron mass tending to infinity. The Ehrenfest nuclei dynamics is approximated by the Langevin dynamics with accuracy o(M-1/2) on bounded time intervals and by o(1) on unbounded time intervals, which makes the small O(M -1/2) friction and o(M-1/2) diffusion terms visible. The initial electron probability distribution is a Gibbs density at low temperature, motivated by a stability and consistency argument. The diffusion and friction coefficients in the Langevin equation satisfy the Einstein's fluctuationdissipation relation.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- ab initio molecular dynamics
- Brownian particle
- Ehrenfest dynamics
- Gibbs distribution
- heat bath
- Langevin equation
- MoriZwanzig theory
- quantum classical molecular dynamics
Publication and Content Type
- ref (subject category)
- art (subject category)
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