Statics and dynamics of a harmonic oscillator coupled to a one-dimensional Ising system
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.
- Publication:
-
Nonequilibrium Statistical Physics Today
- Pub Date:
- March 2011
- DOI:
- 10.1063/1.3569511
- arXiv:
- arXiv:1104.2174
- Bibcode:
- 2011AIPC.1332..232P
- Keywords:
-
- phase transitions;
- oscillators;
- Ising model;
- bifurcation;
- 05.70.Fh;
- 05.45.Xt;
- 05.50.+q;
- 05.45.Pq;
- Phase transitions: general studies;
- Synchronization;
- coupled oscillators;
- Lattice theory and statistics;
- Numerical simulations of chaotic systems;
- Condensed Matter - Statistical Mechanics;
- Mathematical Physics
- E-Print:
- Proceedings of the 2010 Granada Seminar