A generalized complexity measure based on Renyi entropy

作者:Sanchez Moreno Pablo*; Carlos Angulo Juan; Dehesa Jesus S
来源:European Physical Journal D, 2014, 68(8): 212.
DOI:10.1140/epjd/e2014-50127-2

摘要

The intrinsic statistical complexities of finite many-particle systems (i.e., those defined in terms of the single-particle density) quantify the degree of structure or patterns, far beyond the entropy measures. They are intuitively constructed to be minima at the opposite extremes of perfect order and maximal randomness. Starting from the pioneering LMC measure, which satisfies these requirements, some extensions of LMC-Renyi type have been published in the literature. The latter measures were shown to describe a variety of physical aspects of the internal disorder in atomic and molecular systems (e. g., quantum phase transitions, atomic shell filling) which are not grasped by their mother LMC quantity. However, they are not minimal for maximal randomness in general. In this communication, we propose a generalized LMC-Renyi complexity which overcomes this problem. Some applications which illustrate this fact are given.

  • 出版日期2014-8-7