Atomistic formulas for local properties in systems with many-body interactions

被引:6
作者
Hardy, Robert J. [1 ]
机构
[1] Univ Nebraska, Dept Phys, Lincoln, NE 68588 USA
关键词
SIMULATIONS;
D O I
10.1063/1.4967872
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Atomistic formulas are derived for the local densities and fluxes used in the continuum description of energy and momentum transport. Two general methods for the distribution of potential energy among a system's constituent particles are presented and analyzed. The resulting formulas for the heat flux and stress tensor and the equations for energy and momentum transport are exact consequences of the definitions of the densities and the equations of classical mechanics. The formulas and equations obtained are valid for systems with very general types of many-body interactions. Published by AIP Publishing.
引用
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页数:8
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共 13 条
[1]   Stress and heat flux for arbitrary multibody potentials: A unified framework [J].
Admal, Nikhil Chandra ;
Tadmor, E. B. .
JOURNAL OF CHEMICAL PHYSICS, 2011, 134 (18)
[2]   A Unified Interpretation of Stress in Molecular Systems [J].
Admal, Nikhil Chandra ;
Tadmor, E. B. .
JOURNAL OF ELASTICITY, 2010, 100 (1-2) :63-143
[3]   EMPIRICAL POTENTIAL FOR HYDROCARBONS FOR USE IN SIMULATING THE CHEMICAL VAPOR-DEPOSITION OF DIAMOND FILMS [J].
BRENNER, DW .
PHYSICAL REVIEW B, 1990, 42 (15) :9458-9471
[4]   Local stress and heat flux in atomistic systems involving three-body forces [J].
Chen, YP .
JOURNAL OF CHEMICAL PHYSICS, 2006, 124 (05)
[5]   Stress calculation in atomistic simulations of perfect and imperfect solids [J].
Cormier, J ;
Rickman, JM ;
Delph, TJ .
JOURNAL OF APPLIED PHYSICS, 2001, 89 (01) :99-104
[6]   Force and heat current formulas for many-body potentials in molecular dynamics simulations with applications to thermal conductivity calculations [J].
Fan, Zheyong ;
Pereira, Luiz Felipe C. ;
Wang, Hui-Qiong ;
Zheng, Jin-Cheng ;
Donadio, Davide ;
Harju, Ari .
PHYSICAL REVIEW B, 2015, 92 (09)
[8]   Microscopic and macroscopic stress with gravitational and rotational forces [J].
Hoover, Wm. G. ;
Hoover, Carol G. ;
Lutsko, James F. .
PHYSICAL REVIEW E, 2009, 79 (03)
[9]   THE STATISTICAL MECHANICAL THEORY OF TRANSPORT PROCESSES .4. THE EQUATIONS OF HYDRODYNAMICS [J].
IRVING, JH ;
KIRKWOOD, JG .
JOURNAL OF CHEMICAL PHYSICS, 1950, 18 (06) :817-829
[10]   A critique of atomistic definitions of the stress tensor [J].
Murdoch, A. Ian .
JOURNAL OF ELASTICITY, 2007, 88 (02) :113-140