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Statics and dynamics of a harmonic oscillator coupled to a one-dimensional Ising system

Statics and dynamics of a harmonic oscillator coupled to a one-dimensional Ising system

We investigate an oscillator linearly coupled with a oneā€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 ā€¦