Symmetry arguments and the totalitarian principle in the physics of liquid crystals and other condensed matter systems
Published in Liquid Crystals, 2023
Tianyi Guo, Xiaoyu Zheng, Peter Palffy-Muhoray
Nonetheless, as experiments clearly show, a net torque – a pseudovector – exists. The question then becomes, can one construct a pseudovector from the relevant quantities in the problem? We consider the simpler problem of a thin rigid plate, with normals and on a frictionless axle, indicated by the dashed line in Figure 2(c), in a uniform wind with mass current density , and ask, can one construct a pseudovector from the quantities at hand? Although these are only the wind current density and, since the two sides of the plane are indistinguishable, the dyad of normals , one can nonetheless construct a pseudovector, giving the torque