期刊
PHYSICAL REVIEW LETTERS
卷 89, 期 18, 页码 -出版社
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevLett.89.180602
关键词
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资金
- NIGMS NIH HHS [GM54782, F32GM20394] Funding Source: Medline
Systematic inaccuracy is inherent in any computational estimate of a nonlinear average, due to the availability of only a finite number of data values, N. Free energy differences DeltaF between two states or systems are critically important examples of such averages. Previous work has demonstrated, empirically, that the finite-sampling error can be very large-many times k(B)T-in DeltaF estimates for simple molecular systems. Here we present a theoretical description of the inaccuracy, including the exact solution of a sample problem, the precise asymptotic behavior in terms of 1/N for large N, the identification of a universal law, and numerical illustrations. The theory relies on corrections to the central and other limit theorems.
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