2 7 N ov 1 99 9 BEC in Nonextensive Statistical Mechanics
نویسنده
چکیده
We discuss the Bose-Einstein condensation (BEC) for an ideal gas of bosons in the framework of Tsallis's nonextensive statistical mechanics. We study the corrections to the standard BEC formulas due to a weak nonextensivity of the system. In particular, we consider three cases in the D-dimensional space: the homogeneous gas, the gas in a harmonic trap and the relativistic homogenous gas. The results show that small deviations from the extensive Bose statistics produce remarkably large changes in the BEC transition temperature.
منابع مشابه
2 8 D ec 1 99 9 BEC in Nonextensive Statistical Mechanics
We discuss the Bose-Einstein condensation (BEC) for an ideal gas of bosons in the framework of Tsallis's nonextensive statistical mechanics. We study the corrections to the standard BEC formulas due to a weak nonextensivity of the system. In particular, we consider three cases in the D-dimensional space: the homogeneous gas, the gas in a harmonic trap and the relativistic homogenous gas. The re...
متن کاملBEC in Nonextensive Statistical Mechanics: Some Additional Results
In a recent paper [Int. J. Mod. Phys. B 14, 405 (2000)] we discussed the Bose-Einstein condensation (BEC) in the framework of Tsallis’s nonextensive statistical mechanics. In particular, we studied an ideal gas of bosons in a confining harmonic potential. In this memoir we generalize our previous analysis by investigating an ideal Bose gas in a generic power-law external potential. We derive an...
متن کامل1 4 N ov 2 00 7 A generalization of the central limit theorem consistent with nonextensive statistical mechan - ics
The standard central limit theorem plays a fundamental role in Boltzmann-Gibbs statistical mechanics. This important physical theory has been generalized [1] in 1988 by using the entropy Sq = 1− P i p q i q−1 (with q ∈ R) instead of its particular BG case S1 = SBG = − P i pi ln pi. The theory which emerges is usually referred to as nonextensive statistical mechanics and recovers the standard th...
متن کاملField - Theoretical Methods and Nonextensive Systems
The Boltzmann-Gibbs statistical mechanics and the standard thermodynamics are very useful in the discussion of extensive systems. However, they are not good to study situations where nonextensive e ects occur, for instance, systems involving long-range interactions (e. g., d = 3 gravitation)[1, 2], long-range microscopic memory[3], and systems with a relevant (multi)fractal-like structure. On t...
متن کاملar X iv : h ep - t h / 97 10 23 2 v 2 1 9 N ov 1 99 7 N = 1 Supersymmetric Quantum Mechanics on a Curved Space
The quantum mechanics of an N = 1 supersymmetric dynamical system constrained to a hypersurface embedded in the higher dimensional Euclidean space is investigated by using the projection-operator method (POM) of constrained systems. It is shown that the resulting Hamiltonian obtained by the successive operations of projection operators contains the ¯ h 2-contributing additional terms, which are...
متن کامل