Casimir friction: relative motion more generally

Abstract

This paper extends our recent study on Casimir friction forces for dielectric plates moving parallel to each other [J. S. Høye and I. Brevik, Eur. Phys. J. D 68, 61 (2014)], to the case where the plates are no longer restricted to rectilinear motion. Part of the mathematical formalism thereby becomes more cumbersome, but reduces in the end to the form that we could expect to be the natural one in advance. As an example, we calculate the Casimir torque on a planar disc rotating with constant angular velocity around its vertical symmetry axis next to another plate.

Casimir force and its relation to surface tension

“…[1,2]), the issue concerning the temperature correction to the force (still unresolved [3][4][5]), the Casimir friction force occurring when one plate slides against the other with constant or variable velocity [6][7][8][9][10][11][12][13] (a recent review is given in Ref. [14]), the complications that arise if the system is at thermal nonequilibrium [15][16][17][18], and so on.…”

Casimir friction between polarizable particle and half-space with radiation damping at zero temperature

“…In our opinion the statistical mechanical method is quite compact and useful in the Casimir context in general. In the present paper our main purpose is to extend our recent study for dielectric half-spaces [1,2] to the case where the influence from radiative damping is taken into account. However, the presence of the dielectric half-space is an additional source of energy dissipation that turns out to outweigh the radiative damping in free space by far at close separation.…”

“…It ought to be emphasized that in the present work the polarizable particle with its radiation damping will replace the influence from one of the metal slabs with its finite conductivity considered in Refs. [1,2]. We work out the consequences from use of a complex polarizability.…”

Динамика Наночастицы, Вращающейся В Ближнем Поле Нагретой Поверхности

“…В последние годы флуктуационно-электромагнитные взаимодействия (ФЭВ) в системах с динамической и тепловой неравновесностью привлекают все более растущий интерес [1][2][3][4][5][6][7][8][9][10][11][12]. Так, наряду с имеющими более длинную историю исследованиями, связанными с силами линейного вакуумного трения в геометрии частица-пластина и пластина-пластина (см.…”

“…Так, наряду с имеющими более длинную историю исследованиями, связанными с силами линейного вакуумного трения в геометрии частица-пластина и пластина-пластина (см. ссылки в [4,9,12]), появились исследования ФЭВ в системах с вращением одного или двух тел (частиц) [1][2][3]7,8,11], а в [5,6,10], в частности, рассматривалось черенковское излучение в условиях квантового трения.…”