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研究了在一个平板上具有单独局域守恒场(即随机点阵气模型)的系统。在该平板的两个表面上保持着不同的密度,依据涨落流体力学理论,本文证明了其静态密度-密度相关是长程的。且当其维数d≥3时,该静态密度-密度相关是按-1/｜x-y｜d-2衰减。研究了随机点阵气模型在非平衡稳定态中的长程相关性,并构造出纯粹宏观的涨落流体力学理论。We consider a system with a single locally conservative field in a slab geometry with different densities maintained at the two surfaces of the slab. On the basis of flutuating hydro-dynamics, we show that the static-density correlations are long ranged and decay as - l/│x-y│d-2 for dimension d≥3 over distances small compared to the size of the slab.
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