Stochastic description of the light scattered by a polydisperse colloidal suspension: simulation and experiment.
In this work, the stochastic properties of the detected signal in dynamic light scattering experiments are examined in light of Doob's theorem. For Markovian observations of the Brownian particle position, we prove from this theorem that the electric field scattered by a polydisperse suspension can be accounted for by a linear combination of Ornstein-Uhlenbeck processes. A new algorithm for generating the fluctuating field scattered by a polydisperse system is proposed from this alternative formalism. The statistics of our synthetic data is compared satisfactorily with that resulting from the experimental signal scattered by a binary suspension of polystyrene microspheres.
Roldán-Vargas
Sándalo
S
Departamento de Física Aplicada, Grupo de Física de Fluidos y Biocoloides, Universidad de Granada, E-18071 Granada, Spain. sandalo@ugr.es
Quesada-Pérez
Manuel
M
Callejas-Fernández
José
J
D000465:Algorithms; D003102:Colloids / Q000737:chemistry; D003198:Computer Simulation; D008027:Light; D008863:Microspheres; D010316:Particle Size; D011137:Polystyrenes / Q000737:chemistry*; D012542:Scattering, Radiation; D013269:Stochastic Processes; D013499:Surface Properties; D013535:Suspensions / Q000737:chemistry
D003102:Colloids; D011137:Polystyrenes; D013535:Suspensions