On the rotation of ONC stars in the Tsallis formalism context

Soares, B. B.; Silva, J. R. P.

doi:10.1209/0295-5075/96/19001

Cited by 14 publications

(18 citation statements)

References 27 publications

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“…where q is an entropic index that measures the nonextensivity of the system (see Section 2), and σ is a mass-dependent parameter associated with the characteristic width of the distribution (see Soares & Silva 2011). At the limit q → 1, Equation (1) reproduces the Maxwellian function proposed by Deutsch (1965).…”

Section: Introductionmentioning

confidence: 86%

Time-Dependent Nonextensivity Arising From the Rotational Evolution of Solar-Type Stars

Silva

Nepomuceno

Soares

et al. 2013

ApJ

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Nonextensive formalism is a generalization of the Boltzmann-Gibbs statistics. In this formalism the entropic index q is a quantity characterizing the degree of nonextensivity, and is interpreted as a parameter of long-memory or long-range interactions between the components of the system. Since its proposition in 1988, this formalism has been applied to investigate a wide variety of natural phenomena. In stellar astrophysics, theoretical distribution function based on nonextensive formalism (q-distributions) has been successfully applied to reproduce the distribution of stellar radial and rotational velocity data. In this paper, we investigate the time variation of the entropic index q obtained from the distribution of rotation, V sin i, for a sample of 254 rotational data for solar-type stars from 11 open clusters aged between 35.5 Myr and 2.6 Gyr. As a result, we have found an anti-correlation between the entropic index q and the age of clusters, and that the distribution of rotation V sin i for these stars becomes extensive for an age greater than about 170 Myr. Assuming that the parameter q is associated with long-memory effects, we suggest that the memory of the initial angular momentum of solar-type stars can be scaled by the entropic index q. We also propose a physical link between the parameter q and the magnetic braking of stellar rotation.

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Section: Introductionmentioning

confidence: 86%

Time-Dependent Nonextensivity Arising From the Rotational Evolution of Solar-Type Stars

Silva

Nepomuceno

Soares

et al. 2013

ApJ

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“…For a long time, it was diffusely believed that the statistics governing complex networks was only the Boltzmann-Gibbs (BG) one. However, in 2005 the connection between networks and nonextensive statistical mechanics started to be explored [5][6][7], and is presently very active [8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

“…The relation between q and γ (the exponent of the asymptotic power law) is given by γ ≡ 1/(q − 1) (see [5] for more details). When α A = 0 we recover the Barabási-Albert (BA) model [25] with q = 4/3 (γ = 3).…”

Section: Introductionmentioning

confidence: 99%

Scaling properties of d -dimensional complex networks

et al. 2019

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The area of networks is very interdisciplinary and exhibits many applications in several fields of science. Nevertheless, there are few studies focusing on geographically located d-dimensional networks. In this paper, we study scaling properties of a wide class of d-dimensional geographically located networks which grow with preferential attachment involving Euclidean distances through r −α A ij (αA ≥ 0). We have numerically analyzed the time evolution of the connectivity of sites, the average shortest path, the degree distribution entropy, and the average clustering coefficient, for d = 1, 2, 3, 4, and typical values of αA. Remarkably enough, virtually all the curves can be made to collapse as functions of the scaled variable αA/d. These observations confirm the existence of three regimes. The first one occurs in the interval αA/d ∈ [0, 1]; it is non-Boltzmannian with verylong-range interactions in the sense that the degree distribution is a q-exponential with q constant and above unity. The critical value αA/d = 1 that emerges in many of these properties is replaced by αA/d = 1/2 for the β-exponent which characterizes the time evolution of the connectivity of sites. The second regime is still non-Boltzmannian, now with moderately long-range interactions, and reflects in an index q monotonically decreasing with αA/d increasing from its critical value to a characteristic value αA/d ≃ 5. Finally, the third regime is Boltzmannian-like (with q ≃ 1), and corresponds to short-range interactions. *

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“…Cтатистика Каниадакиса возникает в различных прикладных областях. В качестве примера можно упомянуть работы, связанные с космическими эффектами ; Abreu и др., 2016; Livadiotis, 2018) (в частности, с звездной астрофизикой (Carvalho и др., 2008(Carvalho и др., , 2009Soares, Silva, 2011)), с кварк-глюонной плазмой (Teweldeberhan и др., 2003), с газокинетическиими моделями, описывающими взаимодействие атомов и фотонов (Rossani, Scarfone, 2004), с квантовой механикой (Kaniadakis, 2002b). Другие приложения касаются динамических систем (Coraddu и др., 2006;Tonelli и др., 2006;Celikoglu, Tirnakli, 2006), фрактальных систем (Olemskoi и др., 2008), теории поля (Olemskoi и др., 2010), теории случайных матриц (Abul-Magd, 2007Abul-Magd, Abdel-Mageed, 2012), теории игр (Topsoe, 2004), теории информации (Wada, Suyari, 2007) и т. п. Кроме того,  -статистика особенно пригодна для описания экономических систем, например, при построении различных финансовых моделей (Rajaonarison и др., 2005), в частности, для изучения распределения личных доходов (Clementi и др., 2007(Clementi и др., , 2011(Clementi и др., , 2012.…”

Section: Introductionunclassified

Towards the development of thermodynamics of nonextensive systems based on kappa-entropy Кaniadakis

Колесниченко

2020

KIAM Prepr.

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К построению статистической термодинамики неэкстенсивных систем на основе каппа-энтропии Каниадакиса. Аннотация. В рамках неэкстенсивной статистики Каниадакиса, основанной на параметрической κ-энтропии, показано, как можно получить деформированную термодинамику сложных аномальных систем и определить её свойства. В работе приведены основные математические свойства κ-логарифма и κ-экспоненты, а также другие связанные с ними функции, возникающие при разработке статистической механики Каниадакиса. В результате получено обобщение на неэкстенсивный случай нулевого закона термодинамики для двух независимых подсистем при их тепловом контакте и введена так называемая физическая температура, отличная от инверсии множителя Лагранжа . С привлечением обобщённого первого закона термодинамики и преобразования Лежандра и на основе введённой энтропии Клаузиуса получены новые термодинамические соотношения, которые отличны от выведенных ранее традиционным для неэкстенсивной статистики способом соотношений, неудовлетворительных с точки зрения макроскопической термодинамики. На основе свойства выпуклости дивергенции Бергмана изучены спонтанные переходы между стационарными состояниями сложной -системы и доказаны теорема Гиббса и Н-теорема Больцмана.

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On the rotation of ONC stars in the Tsallis formalism context

Cited by 14 publications

References 27 publications

Time-Dependent Nonextensivity Arising From the Rotational Evolution of Solar-Type Stars

Time-Dependent Nonextensivity Arising From the Rotational Evolution of Solar-Type Stars

Scaling properties of d -dimensional complex networks

Towards the development of thermodynamics of nonextensive systems based on kappa-entropy Кaniadakis

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