RT Journal Article
T1 A new entropy based on a group-theoretical structure
A1 Curado, Evaldo M. F.
A1 Tempesta, Piergiulio
A1 Tsallis, Constantino
AB A multi-parametric version of the nonadditive entropy S_q is introduced. This new entropic form, denoted by S_a,b,r, possesses many interesting statistical properties, and it reduces to the entropy S_q for b=0, a=r:=1−q (hence Boltzmann–Gibbs entropy S_BG for b=0, a=r→0). The construction of the entropy S_a,b,r is based on a general group-theoretical approach recently proposed by one of us, Tempesta (2016). Indeed, essentially all the properties of this new entropy are obtained as a consequence of the existence of a rational group law, which expresses the structure of S_a,b,r with respect to the composition of statistically independent subsystems. Depending on the choice of the parameters, the entropy S_a,b,r can be used to cover a wide range of physical situations, in which the measure of the accessible phase space increases say exponentially with the number of particles NN of the system, or even stabilizes, by increasing NN, to a limiting value.This paves the way to the use of this entropy in contexts where the size of the phase space does not increase as fast as the number of its constituting particles (or subsystems) increases.
PB Elsevier Masson
SN 0003-4916
YR 2016
FD 2016-03
LK https://hdl.handle.net/20.500.14352/24419
UL https://hdl.handle.net/20.500.14352/24419
LA eng
NO © 2016 Elsevier Inc.The research of P. T. has been partly supported by the research project FIS2011–22566, Ministerio de Ciencia e Innovación, Spain. Partial financial support by CNPq and Faperj (Brazilian agencies), and by the John Templeton Foundation is acknowledged as well.
NO Ministerio de Ciencia e Innovación (MICINN), España
NO Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Brasil
NO Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ), Brasil
NO John Templeton Foundation
DS Docta Complutense
RD 5 abr 2025