Bethe lattice solution of a model of SAW's with up to 3 monomers per site and no restriction - Condensed Matter > Statistical MechanicsReportar como inadecuado




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Abstract: In the multiple monomers per site MMS model, polymeric chains arerepresented by walks on a lattice which may visit each site up to K times. Wehave solved the unrestricted version of this model, where immediate reversalsof the walks are allowed RA for K = 3 on a Bethe lattice with arbitrarycoordination number in the grand-canonical formalism. We found transitionsbetween a non-polymerized and two polymerized phases, which may be continuousor discontinuous. In the canonical situation, the transitions between theextended and the collapsed polymeric phases are always continuous. Thetransition line is partly composed by tricritical points and partially bycritical endpoints, both lines meeting at a multicritical point. In thesubspace of the parameter space where the model is related to SASAW-sself-attracting self-avoiding walks, the collapse transition is tricritical.We discuss the relation of our results with simulations and previous Bethe andHusimi lattice calculations for the MMS model found in the literature.



Autor: T. J. Oliveira, J. F. Stilck

Fuente: https://arxiv.org/







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