球磨机粉碎过程的正则系综模型
Modeling comminution processes in ball mills as a canonical ensemble
摘要：
提出了一种用宏观正则系综来描述球磨机粉碎过程的新方法。利用哈密顿方法，该模型能够同时考虑来自小瓶内的机械运动的内部动力学以及诸如电磁力和重力的外部效应。利用统计力学方法，通过有限温度下的配分函数，提取了相关的物理观测量。该方法使数值计算使用蒙特卡罗技术获得，例如粒子数的演变系统的温度。有人认为，该方法是实验上更验证比传统的方法的基础上的几何位移。最后给出了一个典型的spex轧机的仿真实例。
英文摘要：
A new approach to describe comminution processes in general ball mills as a macroscopic canonical ensemble is proposed. Using hamiltonian method, the model is able to take simultaneously into account the internal dynamics from mechanical motions inside the vial and external effects like electromagnetic and gravitational forces. Relevant physical observables are extracted using statistical mechanics approach through partition function at finite temperature. The method enables numerical calculation using Monte Carlo technique to obtain, for instance particle number evolution in term of system temperature. It is argued that the method is experimentally more verifiable than the conventional approaches based on geometrical displacements. An example of simulation for typical spex mill is also given.
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