Gibbs, Einstein and the Foundations of Statistical Mechanics

نویسنده

  • LUIS NAVARRO
چکیده

It is generally accepted that, around the turn of the century, GIBBS and EINSTEIN independently developed two equivalent formulations of statistical mechanics. GIBBS’ version is taken as genuine and rigorous, while EINSTEIN’s, despite some features which are characteristic of him, is usually considered a not totally satisfactory attempt. It will be shown in the present work that such a picture is oversimplified and requires further nuancing. In fact, there are significant differences, with important implications which have not been sufficiently examined, between the two formulations. Several issues relating to the impact of the two versions will also be addressed.

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

Insuperable difficulties: Einstein’s statistical road to molecular physics

In this essay I analyze Einstein’s statistical papers from 1902–1904. In these papers, Einstein developed the foundations of a theoretical program that he applied to concrete problems in 1905 and in subsequent years. It combined skepticism about classical mechanics, a firm belief in molecules, and absolute confidence in statistical principles. However, Einstein’s dissertation does not follow hi...

متن کامل

Beyond Gibbs-Boltzmann-Shannon: general entropies—the Gibbs-Lorentzian example

*Correspondence: Rudolf A. Treumann, International Space Science Institute, Hallerstrasse 6, CH-3012 Bern, Switzerland e-mail: [email protected] We propose a generalization of Gibbs’ statistical mechanics into the domain of non-negligible phase space correlations. Derived are the probability distribution and entropy as a generalized ensemble average, replacing Gibbs-Boltzmann-Shannon’s entro...

متن کامل

Boltzmann’s Approach to Statistical Mechanics

In the last quarter of the nineteenth century, Ludwig Boltzmann explained how irreversible macroscopic laws, in particular the second law of thermodynamics, originate in the time-reversible laws of microscopic physics. Boltzmann’s analysis, the essence of which I shall review here, is basically correct. The most famous criticisms of Boltzmann’s later work on the subject have little merit. Most ...

متن کامل

ar X iv : c on d - m at / 0 10 52 42 11 M ay 2 00 1 Boltzmann ’ s Approach to Statistical Mechanics

In the last quarter of the nineteenth century, Ludwig Boltzmann explained how irreversible macroscopic laws, in particular the second law of thermodynamics, originate in the time-reversible laws of microscopic physics. Boltzmann’s analysis, the essence of which I shall review here, is basically correct. The most famous criticisms of Boltzmann’s later work on the subject have little merit. Most ...

متن کامل

Nonextensive Statistics: Theoretical, Experimental and Computational Evidences and Connections

The domain of validity of standard thermodynamics and Boltzmann-Gibbs statistical mechanics is discussed and then formally enlarged in order to hopefully cover a variety of anomalous systems. The generalization concerns nonextensive systems, where nonextensivity is understood in the thermody-namical sense. This generalization was first proposed in 1988 inspired by the probabilistic description ...

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 1998