A Comment on Nonextensive Statistical Mechanics
نویسنده
چکیده
There is a conception that Boltzmann-Gibbs statistics cannot yield the long tail distribution. This is the justification for the intensive research of nonextensive entropies (i.e. Tsallis entropy and others). Here the error that caused this misconception is explained and it is shown that a long tail distribution exists in equilibrium thermodynamics for more than a century.
منابع مشابه
An interacting-agent model of financial markets from the viewpoint of nonextensive statistical mechanics
In this paper we present an interacting-agent model of stock markets. We describe a stock market through an Ising-like model in order to formulate the tendency of traders getting to be influenced by the other traders’ investment attitudes [1], and formulate the traders’ decision-making regarding investment as the maximum entropy principle for nonextensive entropy. We demonstrate that the equili...
متن کاملMixing and equilibration: Protagonists in the scene of nonextensive statistical mechanics
After a brief review of the present status of nonextensive statistical mechanics, we present a conjectural scenario where mixing (characterized by the entropic index qmix ≤ 1) and equilibration (characterized by the entropic index qeq ≥ 1) play central and inter-related roles, and appear to determine a priori the values of the relevant indices of the formalism. Boltzmann-Gibbs statistical mecha...
متن کاملReply to "Comment on 'Vortex distribution in a confining potential' ".
We argue that contrary to recent suggestions, nonextensive statistical mechanics has no relevance for inhomogeneous systems of particles interacting by short-range potentials. We show that these systems are perfectly well described by the usual Boltzmann-Gibbs statistical mechanics.
متن کامل3 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 کاملComment 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 dominating nonextensive statistics is not appropriate for the fundamental study of the theory for nonadditive systems. PACS : 02.50.-r, 05.20.-y...
متن کاملذخیره 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 ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- CoRR
دوره abs/0906.5131 شماره
صفحات -
تاریخ انتشار 2009