TY - JOUR

T1 - Microscopic theory of the Casimir force at thermal equilibrium: Large-separation asymptotics

AU - Buenzli, Pascal

AU - Martin, P.A.

PY - 2008

Y1 - 2008

N2 - We present an entirely microscopic calculation of the Casimir force f(d) between two metallic plates in the limit of large separation d. The models of metals consist of mobile quantum charges in thermal equilibrium with the photon field at positive temperature T. Fluctuations of all degrees of freedom, matter and field, are treated according to the principles of quantum electrodynamics and statistical physics without recourse to approximations or intermediate assumptions. Our main result is the correctness of the asymptotic universal formula f(d)similar to-zeta(3)k(B)T/8 pi d(3), d ->infinity. This supports the fact that, in the framework of the Lifshitz theory of electromagnetic fluctuations, transverse electric modes do not contribute in this regime. Moreover, the microscopic origin of universality is seen to rely on perfect screening sum rules that hold in great generality for conducting media.

AB - We present an entirely microscopic calculation of the Casimir force f(d) between two metallic plates in the limit of large separation d. The models of metals consist of mobile quantum charges in thermal equilibrium with the photon field at positive temperature T. Fluctuations of all degrees of freedom, matter and field, are treated according to the principles of quantum electrodynamics and statistical physics without recourse to approximations or intermediate assumptions. Our main result is the correctness of the asymptotic universal formula f(d)similar to-zeta(3)k(B)T/8 pi d(3), d ->infinity. This supports the fact that, in the framework of the Lifshitz theory of electromagnetic fluctuations, transverse electric modes do not contribute in this regime. Moreover, the microscopic origin of universality is seen to rely on perfect screening sum rules that hold in great generality for conducting media.

U2 - 10.1103/PhysRevE.77.011114

DO - 10.1103/PhysRevE.77.011114

M3 - Article

C2 - 18351825

VL - 77

SP - article 011114

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

ER -