Physics:Krausser–Samwer–Zaccone equation

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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, and Alessio Zaccone. The Krausser–Samwer–Zaccone equation for the viscosity of a liquid reads:[1]

[math]\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\}} }[/math]

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

References

  1. 1.0 1.1 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. https://journals.aps.org/prb/abstract/10.1103/PhysRevB.98.016202. Retrieved 15 August 2020.