Abstract

Computer simulation and analytical theory are used to characterise, for the first time, the fundamental cross-correlation function (c.c.f.) between a molecule's linear centre of mass velocity (ν) and its own angular velocity (ω) or angular momentum (J) in the laboratory frame of reference.The c.c.f. (〈ν(t)ωT(0)〉) is made visible in the laboratory frame by breaking the overall parity symmetry of the hamiltonian by application of directional force to the molecular ensemble, in this paper a unidirectional, static, external, electric field of force (E).The characteristics of (〈ν(t)ωT(0)〉) are investigated for different field strengths E and its appearance is linked analytically to measurable electric-field induced far infra-red birefringence in liquids and liquid crystals.

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