随机Glauber型环境中线性动力系统的均匀化结果
Homogenization results for a linear dynamics in random Glauber type environment
摘要:
我们考虑一个能量守恒的线性动力学,我们扰动的Glauber动力学与随机网站依赖的强度。我们证明了这个不可逆系统在随机介质中的流体动力学极限。扩散系数只依赖于随机场的统计特性。还研究了由Green-Kubo公式定义的扩散系数,证明了它收敛于某个均匀化扩散系数。
英文摘要:
We consider an energy conserving linear dynamics that we perturb by a Glauber dynamics with random site dependent intensity. We prove hydrodynamic limits for this non-reversible system in random media. The diffusion coefficient turns out to depend on the random field only by its statistics. The diffusion coefficient defined through the Green-Kubo formula is also studied and its convergence to some homogenized diffusion coefficient is proved.
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