Troublesome aspects of the Renyi-MaxEnt treatment.
basic_science · Level V
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- Record sourced from PubMed, PMID 27575114.
- Also identified by DOI 10.1103/PhysRevE.94.012145.
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Abstract
We study in great detail the possible existence of a Renyi-associated thermodynamics, with negative results. In particular, we uncover a hidden relation in Renyi's variational problem (MaxEnt). This relation connects the two associated Lagrange multipliers (canonical ensemble) with the mean energy 〈U〉 and the Renyi parameter α. As a consequence of such relation, we obtain anomalous Renyi-MaxEnt thermodynamic results.