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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access June 17, 2012

The stress tensor of an atomistic system

Silvia Morante, Giancarlo Rossi and Massimo Testa
From the journal Open Physics

Abstract

We prove that the stress tensor conservation equation expressing the local equilibrium condition of a body results from the invariance of its partition function under canonical point transformations. From this result the expression of the stress tensor of a general atomistic system (with short range interactions) in terms of its microscopic degrees of freedom can be obtained. The derivation, which can be extended to encompass the quantum mechanical case, works in the canonical as well as the micro-canonical ensemble and is valid for systems endowed with arbitrary boundary conditions. As an interesting by-product of our general approach, we are able to positively answer the old question concerning the uniqueness of the stress tensor expression.

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Published Online: 2012-6-17
Published in Print: 2012-6-1

© 2012 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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