Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-01-13
J. Chem. Phys. 122, 114111 (2005)
Physics
Condensed Matter
Statistical Mechanics
9 pages, 5 figures, to appear in J. Chem. Phys
Scientific paper
10.1063/1.1870875
In the Langevin formalism, the delicate balance maintained between the fluctuations in the system and their corresponding dissipation may be upset by the presence of a secondary, space-dependent stochastic force, particularly in the low friction regime. In prior work, the latter was dissipated self-consistently through an additional uniform (mean-field) friction [Shepherd and Hernandez, J. Chem. Phys., 115, 2430-2438 (2001).] An alternative approach to ensure that equipartition is satisfied relies on the use of a space-dependent friction while ignoring nonlocal correlations. The approach is evaluated with respect to its ability to maintain constant temperature for two simple one-dimensional, stochastic potentials of mean force wherein the friction can be evaluated explicitly when there is no memory in the barriers. The use of a space-dependent friction is capable of providing qualitatively similar results to those obtained previously, but in extreme cases, deviations from equipartition may be observed due to the neglect of the memory effects present in the stochastic potentials.
Hernandez Rigoberto
Moix Jeremy M.
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