Variance of the Casimir force in an ideal Bose gas

Abstract We consider an ideal Bose gas enclosed in a d -dimensional slab of thickness D . Using the grand canonical ensemble we calculate variance thermal Casimir force acting on slab’s walls. The evaluated per unit wall area is shown to decay like ? var / for large amplitude non-universal function two scaling variables ? ? and , where de Broglie wavelength bulk correlation length. It can be expressed via pressure, area, its derivative with respect chemical potential. For thermodynamic states corresponding presence Bose–Einstein condensate retains character while ratio mean standard deviation takes form ( D / L stretchy="false">) d ? 1 2 ? L linear size wall.