Systematic errors in transport calculations of shear viscosity using the Green-Kubo formalism

The purpose of this study is to provide a reproducible framework in the use of the Green-Kubo formalism to extract transport coefficients. More specifically, in the case of shear viscosity, we investigate the limitations and technical details of fitting the auto-correlation function to a decaying ex...

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Bibliographic Details
Published in:Journal of physics. Conference series 2018-05, Vol.1024 (1), p.12028
Main Authors: Rose, J B, Torres-Rincon, J M, Oliinychenko, D, Schäfer, A, Petersen, H
Format: Article
Language:English
Subjects:
Autocorrelation functions
Formalism
Physics
Shear viscosity
Systematic errors
Transport properties
Viscosity
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Summary:The purpose of this study is to provide a reproducible framework in the use of the Green-Kubo formalism to extract transport coefficients. More specifically, in the case of shear viscosity, we investigate the limitations and technical details of fitting the auto-correlation function to a decaying exponential. This fitting procedure is found to be applicable for systems interacting both through constant and energy-dependent cross-sections, although this is only true for sufficiently dilute systems in the latter case. We find that the optimal fit technique consists in simultaneously fixing the intercept of the correlation function and use a fitting interval constrained by the relative error on the correlation function. The formalism is then applied to the full hadron gas, for which we obtain the shear viscosity to entropy ratio.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1024/1/012028