Ricci Curvature, Isoperimetry and a Non-additive Entropy

نویسنده

  • Nikos Kalogeropoulos
چکیده

Searching for the dynamical foundations of Havrda-Charvát/Daróczy/ Cressie-Read/Tsallis non-additive entropy, we come across a covariant quantity called, alternatively, a generalized Ricci curvature, an N -Ricci curvature or a Bakry-Émery-Ricci curvature in the configuration/phase space of a system. We explore some of the implications of this tensor and its associated curvature and present a connection with the non-additive entropy under investigation. We present an isoperimetric interpretation of the non-extensive parameter and comment on further features of the system that can be probed through this tensor.

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عنوان ژورنال:
  • Entropy

دوره 17  شماره 

صفحات  -

تاریخ انتشار 2015