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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Position-dependent diffusion coefficients and free energies from Bayesian analysis of equilibrium and replica molecular dynamics simulations

Focus on Brownian Motion and Diffusion in the 21st Century

Gerhard Hummer

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Part of Focus on Brownian Motion and Diffusion in the 21st Century

Bayesian inference is used to obtain self-consistent estimates of free energies and position-dependent diffusion coefficients along complex reaction coordinates from molecular dynamics simulation trajectories. Effectively, exact solutions for the dynamics of a diffusive model are matched globally to the observed molecular dynamics data. The approach is first tested for a simple one-dimensional diffusion model, and then applied to the dihedral-angle dynamics of a peptide fragment dissolved in water. Both long equilibrium molecular dynamics simulations and short, appropriately initialized, replica simulations are used to sample the short-time dynamics of the peptide–water system. In both cases, accurate estimates of free energies and diffusion coefficients are obtained.


PACS

66.10.-x Diffusion and ionic conduction in liquids

65.20.-w Thermal properties of liquids

Subjects

Soft matter, liquids and polymers

Dates

Issue 1 (January 2005)

Received 28 September 2004

Published 31 January 2005



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