6533b824fe1ef96bd1280021

RESEARCH PRODUCT

Extended quasi-additivity of Tsallis entropies

R. Piasecki

subject

Statistics and ProbabilityConstraint (information theory)Pure mathematicsStatistical Mechanics (cond-mat.stat-mech)Tsallis entropyAdditive functionTsallis statisticsFOS: Physical sciencesThermodynamicsFunction (mathematics)Condensed Matter PhysicsCondensed Matter - Statistical MechanicsMathematics

description

We consider statistically independent non-identical subsystems with different entropic indices q1 and q2. A relation between q1, q2 and q' (for the entire system) extends a power law for entropic index as a function of distance r. A few examples illustrate a role of the proposed constraint q' < min(q1, q2) for the Beck's concept of quasi-additivity.

10.1016/j.physa.2005.10.012http://arxiv.org/abs/cond-mat/0507051