Statics and dynamics of a harmonic oscillator coupled to a one-dimensional Ising system
arXiv:1104.2174 · doi:10.1063/1.3569511
Abstract
We investigate an oscillator linearly coupled with a one-dimensional Ising system. The coupling gives rise to drastic changes both in the oscillator statics and dynamics. Firstly, there appears a second order phase transition, with the oscillator stable rest position as its order parameter. Secondly, for fast spins, the oscillator dynamics is described by an effective equation with a nonlinear friction term that drives the oscillator towards the stable equilibrium state.
Proceedings of the 2010 Granada Seminar