非平衡损伤现象的非平衡统计力学
Non-equilibrium statistical mechanics of non-equilibrium damage phenomena
摘要：
本文研究非平衡统计力学对非平衡损伤现象的适用性。作为一个例子，考虑了热噪声的纤维束模型和纤维衰减的纤维束模型。首先，我们开发一个类比的吉布斯形式主义的非平衡态。随后我们从非平衡态的方法转向非平衡路径的方法。在系统中的波动行为描述的有效温度参数。得到状态方程和能量平衡方程的模拟。并发展了自由能势的形式。对于系统中的路径的波动的统计分布被发现是高斯。
英文摘要：
In this paper we investigate the applicability of non-equilibrium statistical mechanics to non-equilibrium damage phenomena. As an example, a fiber-bundle model with thermal noise and a fiber-bundle model with decay of fibers are considered. Initially we develop an analogy of the Gibbs formalism for nonequilibrium states. Later we switch from the approach of non-equilibrium states to the approach of non-equilibrium paths. Fluctuating behavior in the system is described in terms of effective temperature parameters. An equation of state and an analog of an energy-balance equation are obtained. Also the formalism of the free energy potential is developed. For fluctuations of paths in the system the statistical distribution is found to be Gaussian.
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