On the equivalence of the two foundational formulations for atomistic flux in inhomogeneous transport processes
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Publication:4973930
DOI10.1098/rspa.2018.0688zbMath1427.82038OpenAlexW2922938948WikidataQ90102949 ScholiaQ90102949MaRDI QIDQ4973930
Youping Chen, Adrian Diaz, D. Davydov
Publication date: 6 December 2019
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: http://europepmc.org/articles/pmc6451979
Dirac delta distributionIrving-Kirkwood procedurestatistical mechanics formalismatomistic fluxlocal stress and heat fluxtransient transport fluxes
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- Implementing molecular dynamics on hybrid high performance computers-short range forces
- Implementing peridynamics within a molecular dynamics code
- Force flux and the peridynamic stress tensor
- Convergence of peridynamics to classical elasticity theory
- On the equations of balance for mixtures constructed by means of classical statistical mechanics
- Fast parallel algorithms for short-range molecular dynamics
- Reviewing the roots of continuum formulations in molecular systems. Part III: Stresses, couple stresses, heat fluxes
- A new look at the atomic level virial stress: on continuum-molecular system equivalence
- Statistical mechanics of inhomogeneous fluids
- Cauchy and the modern mechanics of continua
- Asymmetry of the atomic-level stress tensor in homogeneous and inhomogeneous materials
- A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
- Peridynamic State-Based Models and the Embedded-Atom Model
- Local stresses and elastic constants at the atomic scale
- The Statistical Mechanical Derivation of the Stress Tensor and Heat Flux for a System of Spherical Molecules
- A general kinetic theory of liquids III. Dynamical properties
- Recent Theories of Transport Processes in Liquids
- A statistical-mechanical theory of surface tension
- A general kinetic theory of liquids I. The molecular distribution functions
- On the Cauchy—Born Rule
- Translation of Walter Noll's ``Derivation of the fundamental equations of continuum thermodynamics from statistical mechanics
