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Phys. Rev. Lett. 93, 258101 (2004) [4 pages]

Nonlinear Structures and Thermodynamic Instabilities in a One-Dimensional Lattice System

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Nikos Theodorakopoulos1,2, Michel Peyrard3, and Robert S. MacKay4
1Theoretical and Physical Chemistry Institute, National Hellenic Research Foundation, Vasileos Constantinou 48, 116 35 Athens, Greece
2Fachbereich Physik, Universität Konstanz, 78457 Konstanz, Germany
3Laboratoire de Physique, UMR-CNRS 5672, ENS Lyon, 46 Allée d’Italie, 69007 Lyon, France
4Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom

Received 24 June 2004; published 13 December 2004

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, interpolating between bound and unbound segments of the chain. Their free energy 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 domain wall formation.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.258101
DOI:
10.1103/PhysRevLett.93.258101
PACS:
87.10.+e, 05.45.–a, 05.70.Jk, 63.70.+h