Constantino Tsallis

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[edit] Bibliography

NONEXTENSIVE STATISTICAL MECHANICS AND THERMODYNAMICS: BIBLIOGRAPHY January 2007 - preliminary version - Europhysics News 36 (6) (Nov-Dec 2005)

Generalized entropy and thermostatistics: [1] Connection to thermodynamics, ensembles and Jaynes' information theory: [2{520]

[edit] Pubs

Publications: [1] [2] http://arxiv.org/find/all/1/all:+tsallis/0/1/0/all/0/1

Unified model for network dynamics exhibiting nonextensive statistics Stefan Thurner, Fragiskos Kyriakopoulos, Constantino Tsallis published as Phys. Rev. E 76, 036111 (2007) (8 pages)

Preferential attachment growth model and nonextensive statistical mechanics Europhys. Lett., 70 (1), p. 70 (2005) D. J. B. Soares, C. Tsallis, A. M. Mariz, L. R. da Silva.

Nonextensive aspects of self-organized scale-free gas-like networks Stefan Thurner and Constantino Tsallis http://arxiv.org/abs/cond-mat/0506140

[edit] On this wiki

  1. The complex network problem
  2. Social-circles network model
  3. Estimating Tsallis q
  4. Tsallis q distribution project
  5. Tsallis q historical cities and city-sizes
  6. Encyclopedia of Complexity and Systems Science can add Tsallis article

At a theoretical level, "the q-exponential is the distribution which, under appropriate constraints, optimizes the nonadditive entropy Sq, in the same manner the exponential is the distribution which optimizes the additive Boltzmann-Gibbs entropy." (personal communication)

See Tsallis website, Nonextensive Statistical Mechanics and Thermodynamics, mini-review by Thurner, Special issue of Europhysics News, European Physical Society.

[edit] Comment and new references

Dear Doug,

... you have produced an informational network which might be quite useful to people interested in complexity!

All the best,

Constantino

PS The q-generalization of the Central Limit Theorem is now published. And a new experimental verification of q-Gaussians in nature has recently appeared, this time in dusty plasma. I am attaching both for your perusal. (below)

Superdiffusion and non-Gaussian statistics in a driven-dissipative 2D dusty plasma. 2008. Bin Liu, J. Goree arXiv:0801.3991

On a q-Central Limit Theorem Consistent with Nonextensive Statistical Mechanics / A generalization of the central limit theorem consistent with nonextensive statistical mechanics. 2007. Sabir Umarov, Constantino Tsallis, Stanly Steinberg arXiv:cond-mat/0603593

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