一维Ising系统耦合谐振子的静力学和动力学
Statics and dynamics of a harmonic oscillator coupled to a one-dimensional Ising system
摘要:
研究了一维Ising系统与振子的线性耦合。耦合引起振荡器静态和动态的剧烈变化。首先,出现了二阶相变,其序参量为振子的稳定静止位置。其次,对于快自旋,振子动力学由一个有效方程描述,该方程中包含一个非线性摩擦项,该摩擦项驱动振子朝向稳定的平衡态运动。
英文摘要:
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.
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