On the relationship between microcanonical and canonical Gibbs distributions


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Abstract

It is established that the agreement between the use of microcanonical and canonical Gibbs distributions is possible only if the temperature of a closed equilibrium system and its specific energy in a thermostat are mutually inverse functions. The analysis shows that the derivation of the canonical Gibbs distribution from the microcanoncial does not agree with the physical condition for separating a macroscopic part of a closed equilibrium system.

About the authors

V. B. Bobrov

Joint Institute for High Temperatures

Author for correspondence.
Email: vic5907@mail.ru
Russian Federation, Moscow, 125412

S. A. Trigger

Joint Institute for High Temperatures

Email: vic5907@mail.ru
Russian Federation, Moscow, 125412

O. F. Petrov

Joint Institute for High Temperatures

Email: vic5907@mail.ru
Russian Federation, Moscow, 125412

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