COMPUTER SIMULATIONS OF A POLYMER WITH EXACT SOLUTION

Lucas de Souza Ferreira and Álvaro de Almeida Caparica ()
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Lucas de Souza Ferreira: Instituto de Física, Universidade Federal de Goiás. C. P. 131, CEP 74001-970, Goiânia, GO, Brazil
Álvaro de Almeida Caparica: Instituto de Física, Universidade Federal de Goiás. C. P. 131, CEP 74001-970, Goiânia, GO, Brazil

International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 08, 1-10

Abstract: In this work we apply a refined Wang–Landau simulation to a simple polymer model which has an exact solution both in the microcanonical and the canonical formalisms. We investigate the behavior of the microcanonical and canonical averages during the Wang–Landau simulation. The simulations were carried out using conventional Wang–Landau sampling (WLS) and the1/tscheme. Our results show that updating the density of states only after everyNmonomer moves leads to a much better precision. During the simulations the canonical averages such as the location of the maximum of the specific heat calculated from independent runs tend asymptotically to values around the correct value obtained from the exact calculations of the density of states and remain unchanged for some final modification factor. Since thisffinalis found for the model analyzed, one has a criterion to stop the simulations. We compare our results with the exact value and with those of the1/tscheme.

Keywords: Wang–Landau sampling; 1/t-simulations; accuracy; exact model; 64.60.De (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S0129183112400128

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