Phase transitions in homogeneous biopolymers: basic concepts and methods

Details Phase transitions in homogeneous biopolymers: basic concepts and methods Phase transitions in homogeneous biopolymers: basic concepts and methods

2002-10-09

arxiv.org/abs/cond-mat/0210188v1

Physics

Condensed Matter

Statistical Mechanics

Proceedings of the conference on Localization and Energy Transfer in Nonlinear Systems, June 17-21, 2002, San Lorenzo de El Es

Scientific paper

The basic models of helix-coil transitions in biomolecules are introduced. These include phenomenological, zipper (Bragg-Zimm) models of polypeptides, loop-entropy (Poland-Scheraga) and Hamiltonian (Peyrard-Bishop) models of homogeneous DNA denaturation. The transfer integral approach to one-dimensional thermodynamics is presented in some detail, including the necessary extensions to deal with the singular integral equations arising in the case of on-site potentials with a flat top. The (non-)applicability of the theorems which prohibit phase transitions in one-dimensional systems is discussed.

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