Modelling non-ideal fluids at the nano-scale:
The fluctuating lattice Boltzmann method
Quite recently, the multiphase lattice Boltzmann method has been extended to account for the effect of thermal fluctuations thus opening the way for a wide range of applications from the micro- to nano-fluidic phenomena [1-3]. In this talk, I briefly present theoretical foundations of the method and address a number of physical problems where the method has successfully been applied to uncover new interesting phenomena. This includes nanodrop spreading, surface roughening [4] and critical dynamics of an isothermal fluid [5,6]. In all the cases investigated, the reliability of the approach is underlined by comparison with theoretical predictions [1-6].
[1] M. Gross, R. Adhikari, ME Cates, F. Varnik, Phys. Rev. E 82, 056714 (2010).
[2] M. Gross, ME Cates, F. Varnik, R. Adhikari, J. Stat. Mech. P03030 (2011).
[3] M. Gross, R. Adhikari, ME Cates, F. Varnik, Phil. Trans. R. Soc. A 369, 2274 (2011).
[4] M. Gross, F. Varnik, Phys. Rev. E 87, 022407 (2013).
[5] M. Gross, F. Varnik, Phys. Rev. E 85, 056707 (2012).
[6] M. Gross, F. Varnik, Phys. Rev. E 86, 061119 (2012).