In the thermal Frenkel-Kontorova chain, shear thinning and viscosity are set by energy drops at mechanical instabilities, not by thermally activated barrier crossing, so Eyring fits can be coincidental.
Advanced Langevin thermostats: Properties, extensions to rheology, and a lean momentum-conserving approach
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abstract
The Langevin equation accounts for unresolved bath degrees of freedom driving the system toward the bath temperature. Because of this, numerical solutions of the Langevin equation have a long history. Here, we recapitulate, combine, and extend existing Langevin-equation based thermostats, scrutinize their properties and demonstrate their superiority over global kinetic-energy controls. Our work includes compact, asymptotic-analysis based derivations of stochastic thermostats, including the highly accurate Gr{\o}nbech-Jensen scheme. Proposed extensions include a precise, colored and a lean, momentum-conserving thermostat.
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cond-mat.soft 1years
2025 1verdicts
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Finite-temperature properties of the Frenkel-Kontorova model: Relation to tribological systems and fluid rheology
In the thermal Frenkel-Kontorova chain, shear thinning and viscosity are set by energy drops at mechanical instabilities, not by thermally activated barrier crossing, so Eyring fits can be coincidental.