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Relativistic nonextensive kinetic theory

Hamity, Victor H.; Barraco, Daniel E. - In: Physica A: Statistical Mechanics and its Applications 282 (2000) 1, pp. 203-211

nonextensivity. Astrophysics and cosmology are two of the areas where Tsallis’ theory may find important applications. This is due to … galaxies, hot gases of particles and plasmas. Also, it may be used to study a number of interesting problems in cosmology, like …

Persistent link: https://www.econbiz.de/10010590200

Variational methods in nonextensive Tsallis statistics: a comparative study

Mendes, R.S.; Lopes, C.A.; Lenzi, E.K.; Malacarne, L.C. - In: Physica A: Statistical Mechanics and its Applications 344 (2004) 3, pp. 562-567

In the context of nonextensive Tsallis statistics, sensible examples are employed in order to compare the variational method proposed in Phys. Rev. Lett. 80 (1998) 218 with the one in J. Phys. A 26 (1993) L893. These examples are such that they can be solved exactly. Thus, a comparison of the...

Persistent link: https://www.econbiz.de/10010589973

Rigid rotators and diatomic molecules via Tsallis statistics

Chakrabarti, R.; Chandrashekar, R.; Naina Mohammed, S.S. - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 18, pp. 4589-4598

We obtain an analytic expression for the specific heat of a system of N rigid rotators exactly in the high temperature limit, and via a perturbative approach in the low temperature limit. We then evaluate the specific heat of a diatomic gas with both translational and rotational degrees of...

Persistent link: https://www.econbiz.de/10010590585

Sensitivity function and entropy increase rates for z-logistic map family at the edge of chaos

Celikoglu, Ahmet; Tirnakli, Ugur - In: Physica A: Statistical Mechanics and its Applications 372 (2006) 2, pp. 238-242

It is well known that, for chaotic systems, the production of relevant entropy (Boltzmann–Gibbs) is always linear and the system has strong (exponential) sensitivity to initial conditions. In recent years, various numerical results indicate that basically the same type of behavior emerges at...

Persistent link: https://www.econbiz.de/10010590994

Non-logarithmic Jensen–Shannon divergence

Lamberti, Pedro W.; Majtey, Ana P. - In: Physica A: Statistical Mechanics and its Applications 329 (2003) 1, pp. 81-90

The Jensen–Shannon divergence is a symmetrized and smoothed version of the Kullback–Leibler divergence. Recently it has been widely applied to the analysis and characterization of symbolic sequences. In this paper we investigate a generalization of the Jensen–Shannon divergence. This...

Persistent link: https://www.econbiz.de/10010591364

Footprints of nonextensive Tsallis statistics, selfaffinity and universality in the preparation of the L’Aquila earthquake hidden in a pre-seismic EM emission

Eftaxias, K. - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 1, pp. 133-140

in a nonextensive Tsallis framework starting from first principles. The analysis in terms of nonextensivity implies that … on nonextensivity. The latter suggests that the activation of the L’Aquila fault is a magnified image of the laboratory …, earthquake, and electromagnetic precursor occurrence by means of complexity and nonextensivity. …

Persistent link: https://www.econbiz.de/10010591392

Estimating the nonextensivity of systems from experimental data: a nonlinear diffusion equation approach

Frank, T.D.; Friedrich, R. - In: Physica A: Statistical Mechanics and its Applications 347 (2005) C, pp. 65-76

Plastino. We show how to determine the degree of nonextensivity of these systems from experimental data. Both transient and …

Persistent link: https://www.econbiz.de/10010591543

Dynamical analogy between epileptic seizures and seismogenic electromagnetic emissions by means of nonextensive statistical mechanics

Eftaxias, Konstantinos; Minadakis, George; Potirakis, … - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 3, pp. 497-509

The field of study of complex systems considers that the dynamics of complex systems are founded on universal principles that may be used to describe a great variety of scientific and technological approaches of different types of natural, artificial, and social systems. Several authors have...

Persistent link: https://www.econbiz.de/10010595173

Tsallis versus Renyi entropic form for systems with q-exponential behaviour: the case of dissipative maps

Johal, Ramandeep S.; Tirnakli, Ugur - In: Physica A: Statistical Mechanics and its Applications 331 (2004) 3, pp. 487-496

Maximum entropy principle does not seem to distinguish between the use of Tsallis and Renyi entropies as either of them may be used to derive similar kind of q-exponential distributions. In this paper, we address the question whether the Renyi entropy is equally suitable to describe those...

Persistent link: https://www.econbiz.de/10010874530

On a heuristic point of view related to quantum nonequilibrium statistical mechanics

Almeida, Norton G. de - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 23, pp. 5772-5777

In this paper I propose a new way for counting the microstates of a system out of equilibrium. As, according to quantum mechanics, things happen as if a given particle can be found in more than one state at once, I extend this concept to propose the coherent access by a particle to the available...

Persistent link: https://www.econbiz.de/10010874582