P. M. Déjardin | Searcharxiv

arXiv2026

Theory of Rayleigh molecular light scattering by isotropic polar fluids revisited

The molecular theory of Rayleigh light scattering in dense isotropic polar fluids is reconsidered by suitably adapting local field concepts of electrostatics to propagating electromagnetic waves, hence accounting for both the rotational and dipole-induced dipole (DID) contributions. Simple analytical equations are derived for the various Rayleigh ratios relevant to lateral light scattering in various situations, namely pure DID, pure rotations and mixed contributions. For pure DID, the derived Rayleigh ratios are entirely analytical and very simple, while for pure rotation, the use of rotational mean field approximation is justified, hence allowing the description of Rayleigh ratios in terms of a single orientational correlation parameter that is straightforwardly determined as a positive root of a quadratic algebraic equation. Simple expressions for the Rayleigh ratios are also derived in two mixed situations where DID dominates rotation and when rotation dominates DID. Relation to previous experimental and theoretical work is discussed.

cond-mat.stat-mech↗

arXiv2020

Stochastic description of the stationary Hall effect

The properties which characterize the stationary Hall effect in a Hall bar are derived from the Langevin equations describing the Brownian motion of an ensemble of interacting moving charges in a constant externally applied electromagnetic field. It is demonstrated that a non-uniform current density a) superimposes on the injected one, b) is confined in a boundary layer located near the edges over the Debye-Fermi length scale c) results from the coupling between diffusion and conduction and d) arises because of charge accumulation at the edges. The theory can easily be transposed to describe the Hall effect in metals, semi-conductors and plasmas and agrees with standard and previously published results.

cond-mat.stat-mech↗