Viscoelasticity and Levy processes

We show that the linear visco-elastic materials, and more generally the physical phenomena to which Biot's relaxation theory is relevant, can be put in correspondance with the laws of processes with independent increments. In the one-dimensional case this correspondence is one to one with subordinators and gives rise naturally to a conjugation relation on subordinators.We show that the linear visco-elastic materials, and more generally the physical phenomena to which Biot's relaxation theory is relevant, can be put in correspondance with the laws of processes with independent increments. In the one-dimensional case this correspondence is one to one with subordinators and gives rise naturally to a conjugation relation on subordinators.