Krausser-Samwer-Zaccone equation

The Krausser-Samwer-Zaccone equation describes the viscosity of liquids, including supercooled liquids upon approaching the glass transition, in terms of physical parameters; it is named after J. Krausser, Konrad Samwer, and Alessio Zaccone. The Krausser-Samwer-Zaccone equation for the viscosity of a liquid reads:[1]

${\displaystyle \eta =\exp {\left\{{\frac {V_{c}C_{G}}{k_{B}T}}\exp {\left[(2+\lambda )\alpha _{T}T_{g}\left(1-{\frac {T}{T_{g}}}\right)\right]}\right\}}}$

where ${\displaystyle \alpha _{T}}$ is the thermal expansion coefficient of the liquid, and ${\displaystyle \lambda }$ is a parameter which measures the steepness of the repulsive part of the interatomic potential.[1][2]

References

1. Krausser, J.; Samwer, K.; Zaccone, A. (2015). "Interatomic repulsion softness directly controls the fragility of supercooled metallic melts". Proceedings of the National Academy of Sciences of the USA. 112 (45): 13762. doi:10.1073/pnas.1503741112.
2. Krausser, Johannes; Lagogianni, Alexandra; Samwer, Konrad; Zaccone, Alessio (17 July 2018). "Reply to ``Comment on `Disentangling interatomic repulsion and anharmonicity in the viscosity and fragility of glasses' ". Physical Review B. 98 (1): 016202. doi:10.1103/PhysRevB.98.016202. Retrieved 15 August 2020.