Low-temperature specific heat spectra considering nonextensive long-range correlated quasiperiodic DNA molecules

Moreira, D. A.; Albuquerque, E.L.; Silva, L.R. da; Galvão, Douglas S.

doi:10.1016/j.physa.2008.06.004

Cited by 18 publications

(9 citation statements)

References 25 publications

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“…Other recent applications of q-Gaussian distribution include stock markets [99][100][101][102][103][104][105][106][107], DNA molecules [108], the solar wind [109][110][111], galaxies [112], optical lattices [113], cellular aggregates [114] and the atmosphere [115].…”

Section: Q-gaussian Distributionmentioning

confidence: 99%

q-distributions in complex systems: a brief review

Picoli¹,

Mendes²,

Malacarne³

et al. 2009

Braz. J. Phys.

104

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The nonextensive statistical mechanics proposed by Tsallis is today an intense and growing research field. Probability distributions which emerges from the nonextensive formalism (q-distributions) have been applied to an impressive variety of problems. In particular, the role of q-distributions in the interdisciplinary field of complex systems has been expanding. Here, we make a brief review of q-exponential, q-Gaussian and q-Weibull distributions focusing some of their basic properties and recent applications. The richness of systems analyzed may indicate future directions in this field.

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Section: Q-gaussian Distributionmentioning

confidence: 99%

q-distributions in complex systems: a brief review

Picoli¹,

Mendes²,

Malacarne³

et al. 2009

Braz. J. Phys.

104

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show abstract

“…Note that the expression to the generalized specific heat reduces to the extensive specific heat obtained in previous works [27][28][29], when q → 1. Also the expressions to g qN and f qN reduces to the standard expressions in the works of Mauriz et al [27][28][29] and Moreira et al [50].…”

Section: Specific Heatmentioning

confidence: 95%

“…It is our intent here to study the specific heat of this system. An analogue study have been reported by Moreira et al [50], but in their work the authors did not use the generalized q-logarithm, which should be the adequate mathematical formalism [52]. Therefore, using the generalized equation for the partition function Z q , defined in Eq.…”

Section: Specific Heatmentioning

confidence: 99%

Non-additive model for specific heat of electrons

et al. 2016

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“…2,3,5 At present, the Tsallis distribution and related nonextensive statistical mechanics have been successfully implemented in a large number of complex nonextensive systems, e.g., biological, economics, dissipative optical lattices, trapped ions, high-energy collisions at LHC/CERN, two-dimensional Euler and drift turbulence in a pure electron plasma column, velocity function of galaxy clusters, the solar neutrino problem, stellar polytropes, anomalous diffusion of a quark in a quarkgluon plasma, flux of cosmic rays on Earth, collisions involving heavy nuclei, in D-He fusion plasma experiments, etc. [10][11][12][13][14][15][16][17][18] In theoretical and empirical efforts, the topics of the nonextensive statistical distribution functions in active fields on physics research, especially plasma and dusty plasma, are addressed. In an empirical study, Silva et al 19 demonstrated experimentally that particle distribution measurements are well according to the non-Maxwellian distribution function.…”

Section: Introductionmentioning

confidence: 99%