Nonlinear structures and thermodynamic instabilities in a one-dimensional lattice system

Details Nonlinear structures and thermodynamic instabilities in a one-dimensional lattice system Nonlinear structures and thermodynamic instabilities in a one-dimensional lattice system

2004-11-08

arxiv.org/abs/cond-mat/0411188v1

Phys. Rev. Lett. 93, 258101 (2004)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.93.258101

The equilibrium states of the discrete Peyrard-Bishop Hamiltonian with one end fixed are computed exactly from the two-dimensional nonlinear Morse map. These exact nonlinear structures are interpreted as domain walls (DW), interpolating between bound and unbound segments of the chain. The free energy of the DWs is calculated to leading order beyond the Gaussian approximation. Thermodynamic instabilities (e.g. DNA unzipping and/or thermal denaturation) can be understood in terms of DW formation.

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