Exactness of the cluster variation method and factorization of the equilibrium probability for the Wako-Saito-Munoz-Eaton model of protein folding
| dc.creator | Pelizzola, A. | |
| dc.date | 2005-11-30 | |
| dc.date.accessioned | 2026-07-07T06:49:29Z | |
| dc.date.available | 2026-07-07T06:49:29Z | |
| dc.description | I study the properties of the equilibrium probability distribution of a protein folding model originally introduced by Wako and Saito, and later reconsidered by Munoz and Eaton. The model is a one-dimensional model with binary variables and many-body, long-range interactions, which has been solved exactly through a mapping to a two-dimensional model of binary variables with local constraints. Here I show that the equilibrium probability of this two-dimensional model factors into the product of local cluster probabilities, each raised to a suitable exponent. The clusters involved are single sites, nearest-neighbour pairs and square plaquettes, and the exponents are the coefficients of the entropy expansion of the cluster variation method. As a consequence, the cluster variation method is exact for this model. | |
| dc.description | 14 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0511728 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0511728 | |
| dc.identifier | J. Stat. Mech. P11010 (2005) | |
| dc.identifier | doi:10.1088/1742-5468/2005/11/P11010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104363 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Exactness of the cluster variation method and factorization of the equilibrium probability for the Wako-Saito-Munoz-Eaton model of protein folding | |
| dc.type | text |