Mecânica estatística de sistemas complexos

Tsallis, Constantino

doi:10.1590/1806-9126-rbef-2020-0384

Cited by 4 publications

(2 citation statements)

References 50 publications

(63 reference statements)

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“…From the generalization process, a parameter q ∈ R arises naturally, characterizing the nonextensivity of the theory, namely superextensivity (q < 1) and subextensivity (q > 1). The parameter q is interpreted as one encoding global correlations among the many degrees of freedom of the system [12]. The limit q → 1 recovers the extensive theory.…”

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confidence: 63%

Nonextensive statistical field theory

Carvalho

2021

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We introduce a field-theoretic approach for describing the critical behavior of nonextensive systems, systems displaying global correlations among their degrees of freedom, encoded by the nonextensive parameter q. As some applications, we report, to our knowledge, the first analytical computation of both universal static and dynamic q-dependent nonextensive critical exponents for O(N ) vector models, valid for all loop orders and |q − 1| < 1. Then emerges the new nonextensive O(N )q universality class. We employ six independent methods which furnish identical results. Particularly, the results for nonextensive 2d Ising systems, exact within the referred approximation, agree with that obtained from computer simulations, within the margin of error, as better as q is closer to 1. We argue that the present approach can be applied to all models described by extensive statistical field theory as well. The results show an interplay between global correlations and fluctuations.

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confidence: 63%

Nonextensive statistical field theory

Carvalho

2021

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“…The proposal of generalization of both thermodynamics and statistical mechanics for the nonextensive realm [6] has attracted great interest along the years [7][8][9]. That proposal takes into account global correlations among the degrees of freedom of the system.…”

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confidence: 99%

Nonextensive percolation and Lee-Yang edge singularity from nonextensive $λϕ^{3}$ scalar field theory

Carvalho

2022

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We compute the critical exponents for nonextensive λφ 3 scalar field theory for all loop orders and |q − 1| < 1. We apply the results for both nonextensive percolation and Lee-Yang edge singularity problems. The corresponding systems are nonextensive generalizations of their extensive counterparts. For that we employ tools from the recently introduced nonextensive statistical field theory. The results for the nonextensive critical exponents computed depend on the nonextensive parameter q, which encodes global correlations among the degrees of freedom of the system. The extensive results are recovered in the limit q → 1. There is an interplay between global correlations and fluctuations, once the nonextensive critical exponents depend on q. This dependence is in agreement with the universality hypothesis.

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