Force on a moving object in an ideal quantum gas
arXiv:2307.13276 · doi:10.1119/5.0127334
Abstract
We consider a heavy external object moving in an ideal gas of light particles. Collisions with the gas particles transfer momentum to the object, leading to a force that is proportional to the object's velocity but in the opposite direction. In an ideal classical gas at temperature , the force acting on the object is proportional to . Quantum statistics causes a deviation from the -dependence and shows that the force scales with at low temperatures. At , the force vanishes in a Bose gas but is finite in a Fermi gas.
11 pages, 4 figures; This material has been submitted to/accepted by the American Journal of Physics. After it is published, it will be found at (https://pubs.aip.org/aapt/ajps)