The Boltzmann temperature and Lagrange multiplier in nonextensive

نویسنده

  • Antonio M. Scarfone
چکیده

We consider the relation between the Boltzmann temperature and the Lagrange multipliers associated with energy average in the nonextensive thermostatistics. In Tsallis’ canonical ensemble, the Boltzmann temperature depends on energy through the probability distribution unless q = 1. It is shown that the so-called ’physical temperature’ introduced in [Phys. Lett. A 281 (2001) 126] is nothing but the ensemble average of the Boltzmann temperature.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Blackbody radiation in a nonextensive scenario

An exact analysis of the N-dimensional blackbody radiation process in a nonextensivè a la Tsallis scenario is performed for values of the nonextensive's index in the range (0 < q < 1). The recently advanced " Optimal Lagrange Multipliers " (OLM) technique has been employed. The results are consistent with those of the extensive, q = 1 case. The generalization of the celebrated laws of Planck, S...

متن کامل

Equipartition and Virial theorems in a nonextensive optimal Lagrange multipliers scenario

We revisit some topics of classical thermostatistics from the perspective of the nonextensive optimal Lagrange multipliers (OLM), a recently introduced technique for dealing with the maximization of Tsallis' information measure. It is shown that Equipartition and Virial theorems can be reproduced by Tsal-lis' nonextensive formalism independently of the value of the nonextensivity index.

متن کامل

Nonextensive thermodynamics of the two - site Hubbard model . II . Grand - canonical ensembles

We have discussed thermodynamical and magnetic properties of the grand-canonical ensembles of the half-filled two-site Hubbard model within the framework of the nonextensive statistics (NES). For relating the physical temperature T to the Lagrange multiplier β, two methods have been adopted: T = 1/k B β in the method A [Tsallis et al. Physica A 261 (1998) 534], and T = c q /k B β in the method ...

متن کامل

Nonextensive thermodynamics of the two - site Hubbard model : Grand - canonical ensembles 1

We have discussed thermodynamical and magnetic properties of the grand-canonical ensembles of the half-filled two-site Hubbard model within the framework of the nonextensive statistics (NES). For relating the physical temperature T to the Lagrange multiplier β, two methods have been adopted: T = 1/k B β in the method A [Tsallis et al. Physica A 261 (1998) 534], and T = c q /k B β in the method ...

متن کامل

Nonextensive thermodynamics of the two-site Hubbard model: Canonical ensembles

Canonical ensembles of Hubbard dimers, each of which is described by the two-site Hubbard model, have been studied within the nonextensive statistics (NES). The temperature dependences of the energy, entropy, specific heat and susceptibility have been calculated for the number of dimers M = 1, 2, 3 and ∞. We have assumed the relation between the entropic index q and the cluster size N given by ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005