General theory of the viscosity of liquids and solids from nonaffine particle motions

Abstract

A new microscopic formula for the viscosity of liquids and solids is derived rigorously from a first-principles (microscopically reversible) Hamiltonian for particle-bath atomistic motion. The derivation is done within the framework of nonaffine linear response theory. The new formula may lead to a valid alternative to the Green-Kubo approach to describe the viscosity of condensed matter systems from molecular simulations without having to fit long-time tails. Furthermore, it provides a direct link between the viscosity, the vibrational density of states of the system, and the zero-frequency limit of the memory kernel.

arXiv commentTypo corrected

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Cited by in corpus (10)

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• Hyperballistic transport in dense systems of charged particles under ac electric fields
• Understanding Dynamics in Coarse-Grained Models: IV. Connection of Fine-Grained and Coarse-Grained Dynamics with the Stokes-Einstein and Stokes-Einstein-Debye Relations
• The Viscosity of Liquids in the Dual Model
• Unified scaling model for viscosity of crude oil over extended temperature range
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• A hybrid Green-Kubo (hGK) framework for calculating viscosity from short MD simulations
• Extrinsic and intrinsic effects setting viscosity in complex fluids and life processes: the role of fundamental physical constants
• Atomistic mechanisms of viscosity in 2D liquid-like fluids