Force from Equilibrium Quantum Fluctuation


Normal Casimir Force:           

yellow ball "On the attraction between two perfectly conducting plates," H.B.G. Casimir, Proc. K. Ned. Akad. Wet. 51, 793 (1948)

yellow ball Quantum fluctuations of electromagnetic field in the vacuum leads to an attractive force between perfect mirrors

        

yellow ball "The Theory of Molecular Attractive Forces Between Solids," E.M. Lifshitz, Soviet Physics 2, 73 (1956),

 Generalizes above by considering fluctuating current sources in the bodies, and at finite temperatures.

At distances shorter than a material dependent (e.g.. plasma) frequency   , (the near field regime)

force is reduced by order of        (cf retarded/non-retarded van der Waals forces)

yellow ball  Since 1995 confirmed in myriad experiments.


Lateral Casimir Force: A sideways force to "align" corrugated plates  into position of minimum energy:

   

yellow ball "Mechanical Response of Vacuum," Golestanian, & Kardar, Phys. Rev. Lett. 78, 3421 (1997)

yellow ball"Probing the Strong Boundary Shape Dependence of the Casimir Force,"

Emig, Hanke, Golestanian, & Kardar, Phys. Rev. Lett. 87, 260402 (2001)

yellow ball "Demonstration of the Lateral Casimir Force," F. Chen, U. Mohideen, et. al , Phys. Rev. Lett. 88, 101801 (2002)

Thermal fluctuations: Fluids at criticality

yellow ball "Normal and lateral critical Casimir forces between colloids and patterned substrates,"

Tröndle, Kondrat, Gambassi, Harnau, and Dietrich, Euro. Phys. Lett. 88, 40004 (2009)

yellow ball "Critical Casimir forces in colloidal suspensions on chemically patterned surfaces,"

F. Soyka, O. Zvyagolskaya, C. Hertlein, L. Helden, & C. Bechinger, Phys. Rev. Lett. 101, 208301 (2008)