On the dynamics of the classical transverse field Ising chain

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:184

Article

Johann, A

关键词: Ising model;    lattice differential equations;    functional differential equations;    implicit function theorem;    spectral stability;   

DOI  :  10.1006/jdeq.2001.4145

来源: Elsevier

【 摘 要 】

We investigate stationary and travelling; wave solutions of a special lattice differential equation in one space dimension. Depending On a parameter lambda. results are given on the existence. shape and stability for these kind of solutions. The analysis of travelling wave solutions leads us to a functional differential equation with both forward and backward shifts. The existence of solutions of this equation will be proved by use of the implicit function theorem. In particular. we consider kink solutions and periodic solutions. (C) 2002 Elsevier Science (USA).

【 授权许可】

Free