Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-09-26
Phys.Rev. E71 (2005) 046128
Physics
Condensed Matter
Statistical Mechanics
Version to appear in PRE: about 20% shorter, references updated, 13 PRE pages, 3 figures
Scientific paper
10.1103/PhysRevE.71.046128
A consistent generalization of statistical mechanics is obtained by applying the maximum entropy principle to a trace-form entropy and by requiring that physically motivated mathematical properties are preserved. The emerging differential-functional equation yields a two-parameter class of generalized logarithms, from which entropies and power-law distributions follow: these distributions could be relevant in many anomalous systems. Within the specified range of parameters, these entropies possess positivity, continuity, symmetry, expansibility, decisivity, maximality, concavity, and are Lesche stable. The Boltzmann-Shannon entropy and some one parameter generalized entropies already known belong to this class. These entropies and their distribution functions are compared, and the corresponding deformed algebras are discussed.
Kaniadakis Giorgio
Lissia Marcello
Scarfone Antonio Maria
No associations
LandOfFree
Two-parameter deformations of logarithm, exponential, and entropy: A consistent framework for generalized statistical mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Two-parameter deformations of logarithm, exponential, and entropy: A consistent framework for generalized statistical mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-parameter deformations of logarithm, exponential, and entropy: A consistent framework for generalized statistical mechanics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-327253