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J. M. Hall

Publications and source records attributed to J. M. Hall.

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Coarse-Grained Force Fields via Rotational Entropy Corrections to Free Energy Landscapes of Diffusing Molecules

The construction of accurate interatomic potentials, and related fields of forces, from equilibrium conformational distributions of molecules is a crucial step in coarse-grained modeling. In this work we show that in order to develop accurate lab-frame force fields that preserve translational and rotational diffusion of a molecule, the observed body-fixed free energy landscape must be corrected for conformation-dependent rotational entropy to isolate the potential energy surface. We further demonstrate that even when the instantaneous effects of the correction are small, the resulting lagged correlations of the modeled force can be greatly altered and hence the correction is especially vital when parameterizing friction coefficients using modeled interatomic potentials.

cond-mat.soft

A Generalized Einstein Relation for Markovian Friction Coefficients from Molecular Trajectories

We present a generalized Einstein relation for the friction coefficients associated with an underlying memory kernel in terms of observable time correlation functions. There is considerable freedom in the correlations involved, and this allows the expression to be tailored to the particular system to achieve numerical stability. We demonstrate this by recovering the site-specific friction coefficients from trajectories of a freely diffusing model trimer, and we show that the accuracy is greatly improved over established Volterra inversion methods for kernel extraction.

cond-mat.soft