We consider statistically independent non-identical subsystems with different entropic indices q 1 and q 2 . A relation between q 1 , q 2 and q 0 (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
Quasi-additivity of Tsallis entropies and correlated subsystems
β Scribed by S. Asgarani; B. Mirza
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 185 KB
- Volume
- 379
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
β¦ Synopsis
We use Beck's quasi-additivity of Tsallis entropies for n independent subsystems to show that like the case of n ΒΌ 2, the entropic index q approaches 1 by increasing system size. Then, we will generalize that concept to correlated subsystems to find that in the case of correlated subsystems, when system size increases, q also approaches a value corresponding to the additive case.
π SIMILAR VOLUMES
Generalized entropies are studied as Lyapunov functions for the master equation (Markov chains). Three basic properties of these Lyapunov functions are taken into consideration: universality (independence of the kinetic coe cients), trace-form (the form of sum over the states), and additivity (for c
We revisit the issues on the thermodynamic property of stellar self-gravitating system arising from Tsallis' non-extensive entropy. Previous papers (Physica A 307 (2002) 185; ibid. 318 (2003) 387) have revealed that the extremum-state of Tsallis entropy, the so-called stellar polytrope, has consiste