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Multiple Histogram Method and Static Monte Carlo Sampling
Author(s) -
Inda Márcia A.,
Frenkel Daan
Publication year - 2003
Publication title -
macromolecular theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.37
H-Index - 56
eISSN - 1521-3919
pISSN - 1022-1344
DOI - 10.1002/mats.200350040
Subject(s) - monte carlo method , histogram , polynomial , mathematics , monte carlo algorithm , statistical physics , physics , mathematical analysis , image (mathematics) , statistics , computer science , artificial intelligence
Summary: We describe an approach to use multiple‐histogram methods in combination with static, biased Monte Carlo simulations. To illustrate this, we computed the force‐extension curve of an athermal polymer from multiple histograms constructed in a series of static Rosenbluth Monte Carlo simulations. From the complete histogram of the distribution function of the end‐to‐end vectors of the polymer chain, we can efficiently compute the polymer force‐extension curve.Comparison of the stress‐strain curves for the stress ensemble (symbols) and the strain ensemble (lines). Results obtained for N = 100, 200, 400, and 600. For small x , f ( x ) = − F′ ( x ) was computed by aproximating F ( x ) by a second degree polynomial and then taking the derivative. For large x , f ( x ) = − F′ ( x ) was computed numerically.