Equation of state of compressed matter: A simple statistical model

Details Equation of state of compressed matter: A simple statistical model Equation of state of compressed matter: A simple statistical model

2004-12-16

arxiv.org/abs/cond-mat/0412417v1

Physica A293 71 (2001) and Physica A295 562 (2001)

Physics

Condensed Matter

Statistical Mechanics

The last section of the manuscript contains a correction published later as ERRATA

Scientific paper

We propose a simple approach for studying systems of compressed matter based on the Thomas-Fermi statistical model of single atom. The central point of our work is the development of the concept of ``statistical ionization'' by compression; in simple terms, we calculate the fraction of electrons within the atom whose positive energy, due to the compression, exceeds the negative binding energy electron-nucleus. Next we extend this concept from a single atom to macroscopic systems and write the corresponding equation of state. Positive aspects as well as limitations of the model are illustrated and discussed through all the paper.

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