Aq-generalization of Laplace transforms
- 17 November 1999
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 32 (48) , 8551-8561
- https://doi.org/10.1088/0305-4470/32/48/314
Abstract
The Laplace transform is generalized by using the q-exponential function eqx[1+(1-q)x]1/(1-q) that emerges from Tsallis' non-extensive statistical mechanics, and some of its properties are obtained. The usual transform is recovered as a limiting case (q1). The use of the q-Laplace transform is illustrated by establishing a relation between the classical canonical q-partition function and the density of states.Keywords
This publication has 29 references indexed in Scilit:
- Nonextensive statistics: theoretical, experimental and computational evidences and connectionsBrazilian Journal of Physics, 1999
- Aging in models of nonlinear diffusionPhysical Review E, 1997
- Statistical-Mechanical Foundation of the Ubiquity of the Lévy Distributions in NaturePhysical Review Letters, 1996
- Anomalous diffusion in the presence of external forces: Exact time-dependent solutions and their thermostatistical basisPhysical Review E, 1996
- Non-equilibrium thermodynamics and anomalous diffusionJournal of Physics A: General Physics, 1996
- Statistical-Mechanical Foundation of the Ubiquity of Lévy Distributions in NaturePhysical Review Letters, 1995
- Fractal random walks from a variational formalism for Tsallis entropiesPhysical Review E, 1994
- Generalized statistical mechanics: connection with thermodynamicsJournal of Physics A: General Physics, 1992
- Generalized statistical mechanics: connection with thermodynamicsJournal of Physics A: General Physics, 1991
- Possible generalization of Boltzmann-Gibbs statisticsJournal of Statistical Physics, 1988