The linear response of an electron–ion plasma to an applied oscillating electric field is studied within the framework of Bloch’s classical hydrodynamic model. The ions are assumed to be fixed in space and distributed according to a known probability distribution. The linearized equations of...

We give a new proof of the well-known upper bound on the correlation function of a gas of non-overlapping dipoles of fixed length and discrete orientation working directly in the charge representation, instead of the more usual sine-Gordon representation.

Invariance principle states that a scaled simple random walk converges to the standard Brownian motion.

A non-linear model for time-dependent occupation of lattice gas sites is studied. A self-consistent approximation for the diffusion operator is proposed and studied in discrete and continual forms. It is shown that self-organization effects in the spinodal region lead to a spontaneous...

We have studied a model of self-interacting branched polymers on the three-dimensional Sierpinski gasket lattice, in the presence of an attractive impenetrable fractal boundary. Using an exact renoramlization group approach, we have determined the phase diagram boundaries of this model, and its...