English

Algebra and calculus for Tsallis thermostatistics

Statistical Mechanics 2009-11-11 v1

Abstract

We construct generalized additions and multiplications, forming fields, and division algebras inspired by the Tsallis thermo-statistics. We also construct derivations and integrations in this spirit. These operations do not reduce to the naively expected ones, when the deformation parameter approaches zero.

Keywords

Cite

@article{arxiv.cond-mat/0507057,
  title  = {Algebra and calculus for Tsallis thermostatistics},
  author = {Nikos Kalogeropoulos},
  journal= {arXiv preprint arXiv:cond-mat/0507057},
  year   = {2009}
}

Comments

14 pages, no figures. To be published in Physica A