Equilibrium Fluctuations for a System of Harmonic Oscillators with Conservative Noise
Equilibrium Fluctuations for a System of Harmonic Oscillators with Conservative Noise
复制标题
具有保守噪声的谐波振荡器系统的平衡涨落
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
S. Olla
中科院分区：
文献类型：
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作者：
J. Fritz;K. Nagy;S. Olla
我们研究了乘性噪声强迫下的调和链，它的演化由一个无限随机微分方程组给出。总能量和形变保持不变，动量守恒被噪声破坏。高斯积测度是该模型的极值定态。在扩散标度下，守恒场的平衡涨落可用一对广义Ornstein-Uhlenbeck过程描述。
We investigate the harmonic chain forced by a multiplicative noise, the evolution is given by an infinite system of stochastic differential equations. Total energy and deformation are preserved, the conservation of momentum is destroyed by the noise. Gaussian product measures are the extremal stationary states of this model. Equilibrium fluctuations of the conserved fields at a diffusive scaling are described by a couple of generalized Ornstein-Uhlenbeck processes.