Eur. Phys. J. E (2009) 29: 245-251
https://doi.org/10.1140/epje/i2009-10475-9

Regular Article

Localization and delocalization of energy in a Peyrard-Bishop chain

¹ Departamento de Biologia, UNEMAT - Universidade do Estado do Mato Grosso, BR158, Km 148, 78690-000, Nova Xavantina, Brasil
² Instituto de Biociências, Letras e Ciências Exatas, Departamento de Física, UNESP - Universidade Estadual Paulista, Rua Cristóvão Colombo 2265, 15054-000, São José do Rio Preto, Brasil

^* e-mail: joaquim.manoel@gmail.com

Received: 4 November 2008
Revised: 28 January 2009
Accepted: 19 May 2009
Published online: 24 June 2009

Abstract

This paper studies energy localization conditions in lattices of the type proposed by Peyrard and Bishop. Homogeneous and inhomogeneous lattices are analyzed and the role of interfaces in the latter is emphasized. Simulations allowed us to identify critical energy values for the existence of localization. After a certain energy value, it is possible to observe the loss of energy localization along the chain.