Nonlinear Effects in the Shear Viscosity of Critical Mixtures

Yamada, Tomoji; Kawasaki, Kyozi

doi:10.1143/ptp.38.1031

Cited by 159 publications

(109 citation statements)

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“…An alternative approach to nonlinear response theory was pioneered by Yamada and Kawasaki (1967). Rather than developing power series expansions about they derived a closed expression for the perturbed distribution function.…”

Section: Kawasaki Distribution Functionmentioning

confidence: 99%

Statistical Mechanics of Nonequilbrium Liquids

Morriss¹,

Evans²

2007

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Section: Kawasaki Distribution Functionmentioning

confidence: 99%

Statistical Mechanics of Nonequilbrium Liquids

Morriss¹,

Evans²

2007

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“…This relation was first derived for Hamiltonian systems by Yamada and Kawasaki in 1967 9 and for the thermostatted dynamical systems by Morriss and Evans in 1984. 10 Due to the poor statistical convergence of Eq.…”

Section: Introductionmentioning

confidence: 94%

Different approaches for evaluating exponentially weighted nonequilibrium relations

Reid

Cunning

Searles

2010

The Journal of Chemical Physics

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The Kawasaki identity ͑KI͒ and the Jarzynski equality ͑JE͒ are important nonequilibrium relations. Both of these relations take the form of an ensemble average of an exponential function and can exhibit convergence problems when the average of the exponent differs greatly from the log of the average of the exponential function. In this work, we re-express these relations so that only selected regions need to be evaluated in an attempt to avoid these convergence issues. In the context of measuring free energies, we compare our method to the JE and the literature standard approach, the maximum likelihood estimator ͑MLE͒, and show that in a system with asymmetric work distributions it can perform as well as the MLE. For the KI, we derive an analog to the MLE to compare with our relation and show that these two new relations improve on the KI and are complimentary to each other.

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“…We will next derive the expression for the viscous stress tensor from an independent perspective, namely, that of the nonlinear response theory of Yamada and Kawasaki. 3 …”

Section: ͑30͒mentioning

confidence: 99%

“…In this expression, U is a "pseudocanonical" transformation operator, 3 which generates the local equilibrium distribution function from the equilibrium one. This means that the transformation is not canonical, but still conserves the volume of phase space.…”

Section: Determination Of the Viscous Stress Tensor From Nonlinearmentioning

confidence: 99%

“…In the second perspective, we develop the nonlinear system response through an analysis of the local equilibrium distribution, following the work of Yamada and Kawasaki. 3 We should point out that we are precisely repeating the procedure by which SLLOD was established as the correct NEMD algorithm for PCF ͑Ref. 2͒ in order to establish that p-SLLOD ͑and not SLLOD͒ is the rigorous NEMD algorithm for PEF.…”

Section: Introductionmentioning

confidence: 99%

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An examination of the validity of nonequilibrium molecular-dynamics simulation algorithms for arbitrary steady-state flows

Edwards

Baig

Keffer

2005

The Journal of Chemical Physics

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Nonlinear-response theory of nonequilibrium molecular-dynamics simulation algorithms is considered under the imposition of an arbitrary steady-state flow field. It is demonstrated that the SLLOD and DOLLS algorithms cannot be used for general flows, although the SLLOD algorithm is rigorous for planar Couette flow. Following the same procedure used to establish SLLOD as the valid algorithm for planar Couette flow ͓D. J. Evans and E. P. Morriss, Phys. Rev. A 30, 1528 ͑1984͔͒, it is demonstrated that the p-SLLOD algorithm is valid for arbitrary flows and produces the correct nonlinear response of the viscous pressure tensor.

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Nonlinear Effects in the Shear Viscosity of Critical Mixtures

Cited by 159 publications

References 0 publications

Statistical Mechanics of Nonequilbrium Liquids

Statistical Mechanics of Nonequilbrium Liquids

Different approaches for evaluating exponentially weighted nonequilibrium relations

An examination of the validity of nonequilibrium molecular-dynamics simulation algorithms for arbitrary steady-state flows

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