A Shannon-Tsallis transformation

作者:Fiori E Rufeil; Plastino A*
来源:Physica A: Statistical Mechanics and Its Applications , 2013, 392(8): 1742-1749.
DOI:10.1016/j.physa.2012.12.037

摘要

Via a first-order linear differential equation, we determine a general link between two different solutions of the MaxEnt variational problem, namely, the ones that correspond to using either Shannon%26apos;s or Tsallis%26apos; entropies in the concomitant variational problem. It is shown that the two variations lead to equivalent solutions that have different appearances but contain the same information. These solutions are linked by our transformation. However, the so-called collision entropy (Tsallis%26apos; one with q = 2) does not have a Shannon counterpart.

  • 出版日期2013-4-15