Validity of the second law in nonextensive quantum thermodynamics.

نویسندگان

  • Sumiyoshi Abe
  • A K Rajagopal
چکیده

The second law of thermodynamics in nonextensive statistical mechanics is discussed in the quantum regime. Making use of the convexity property of the generalized relative entropy associated with the Tsallis entropy indexed by q, Clausius' inequality is shown to hold in the range q in (0, 2]. This restriction on the range of the entropic index, q, is purely quantum mechanical and there exists no upper bound of q for validity of the second law in classical theory.

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

A review of quantum thermodynamics

In this article, we present a brief and elementary review of quantum thermodynamics and its achievements and challenges. This review includes an introduction to some fundamental concepts such as internal energy, heat, work, entropy, entropy production, thermal equilibrium, second law of quantum thermodynamics, relation between thermodynamics and information theory, as well as a discussion of ho...

متن کامل

Structure formation and generalized second law of thermodynamics in some viable f(R)-gravity models

We investigate the growth of matter density perturbations as well as the generalized second law (GSL) of thermodynamics in the framework of f(R)-gravity. We consider a spatially flat FRW universe filled with the pressureless matter and radiation which is enclosed by the dynamical apparent horizon with the Hawking temperature. For some viable f(R) models containing the Starobinsky, Hu-Sawicki, Exp...

متن کامل

The Second Law of Thermodynamics, Evolution, and Probability

The Second Law of Thermodynamics, Evolution, and Probability Does evolution violate the second law of thermodynamics? Creationists say yes. This article describes in detail why the creationists are wrong. Attributing False Attributes to Thermodynamics Creationists have created a 'voodoo' thermodynamics based solely on metaphors in order to convince those not familiar with real thermodynamics th...

متن کامل

بررسی شکافتگی کوچک و دیگر تکینگی‌های آینده عالم و برقراری قانون دوم ترمودینامیک در نظریه

The future singularities are possible in a universe that is described by F(R) theory. In previous studies the occurrence of the singularities in F(R) theory have been considered by using a special function for the Hubble parameter and calculating the F(R) function for each of the singularities. Using the specified Hubble parameter causes some difficulties in the study of the second law of therm...

متن کامل

3 Comment on “ Nonextensive hamiltonian systems follow Boltzmann ’ s principle not Tsallis statistics - phase transition , second law of thermodynamics ” by Gross

Recently, Gross claims that Boltzmann entropy S = k lnW is valid for any system at equilibrium, so that Tsallis entropy is useless in this case. I comment on some arguments forwarded to reach this conclusion and argue that the additive energy formalism of nonextensive statistics is not appropriate for the fundamental study of the theory for nonadditive systems. PACS : 02.50.-r, 05.20.-y, 05.30....

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:
  • Physical review letters

دوره 91 12  شماره 

صفحات  -

تاریخ انتشار 2003