Statics and dynamics of a harmonic oscillator coupled to a one‐dimensional Ising system
- Conference date: 13–17 September 2010
- Location: La Herradura, (Spain)
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.
- Coupled oscillators
- Linear dynamical systems
- Phase transitions
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