自组织现象的热力学分析

作者从几何热力学的角度出发分析了自组织现象，并利用相空间的微观状态数计算了具体模型的熵值变化，分析了在沙堆的演化和沙崩过程中熵值变化的内在机制，研究表明，在自组织现象发生的过程中，自由能减少，但熵增加，作者还说明了自组织现象不仅在远离平衡的非平衡系统发生，而且在近平衡条件下也可能发生。

Thermodynamic Analysis of Self-organized Phenomenon

From the geometrical thermodynamics, the authors analyzed the self-organized phenomenon.The authors also calculated the variety of entropy of a given model from the microcosmic status number of phase space, then analyzed the inner mechanism of the variation of entropy in the course of the formation and avalanche of sandpile. In the course of self-organization, the free energy is reduced, but the entropy can be increased. In the same time, the phenomenon can occur not only in the non-equilibrium system in condition of far equilibrium but also occur in the near-equilibrium.