Vol. 1, No. 4, 2006

Download this article
Download this article For screen
For printing
Recent Issues

Volume 12
Issue 3, 249–351
Issue 2, 147–247
Issue 1, 1–146

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
Subscriptions
Editorial Board
Research Statement
Scientific Advantage
Submission Guidelines
Submission Form
Author Index
To Appear
 
ISSN: 1559-3959
Conservation laws at nano/micro scales

Youping Chen and James Lee

Vol. 1 (2006), No. 4, 681–704
Abstract

This paper aims to find a field description of local conservation laws at nano/micro scales. Atomistic definitions and field representations of fundamental physical quantities are presented. By decomposing atomic deformation into homogeneous lattice deformation and inhomogeneous relative atomic deformation, and also decomposing momentum flux and heat flux into homogeneous and inhomogeneous parts, the field representations of conservation laws at atomic scale have been formulated, which follow exactly the time evolution laws that exist in atomistic simulations, where the atomic motion is fully described, the inhomogeneous internal motion is not ignored, and the smallest particles considered are atoms.

Keywords
local conservation laws, lattice deformation
Milestones
Received: 4 December 2005
Revised: 25 January 2006
Accepted: 24 February 2006
Published: 1 August 2006
Authors
Youping Chen
School of Engineering and Applied Science
The George Washington University
Academic Center T739
801 22nd Street NW
Washington, DC 20052
United States
James Lee
School of Engineering and Applied Science
The George Washington University
Academic Center T739
801 22nd Street NW
Washington, DC 20052
United States