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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