학술논문
Discrete calculus of variations and Boltzmann distribution without Stirling's approximation
Document Type
Working Paper
Author
Source
Subject
Language
Abstract
A \emph{double extrema form} of the calculus of variations is put forward in which only the smallest one of the finite differences is physically meaningful to represent the variational derivatives defined on the discrete points. The most probable distribution for the Boltzmann system is then reproduced without the Stirling's approximation, and free from other theoretical problems.
Comment: 4 pages
Comment: 4 pages