The average drift velocity of a polymer chain due to an applied electric field is calculated in the Rubinstein-Duke model for reptation. Imposing periodic boundary conditions on the reptating chain the stationary state is solved exactly from the master equation, and the drift velocity is...

Recently constructed models for reptation such as the Rubinstein-Duke model are discussed in relation to electrophoresis. A full solution for the probability distribution for the steady state is given for the case of periodic boundary conditions. The model is modified by allowing only for single...

Lack of attention to scale selection may limit the utility of multidisciplinary assessments and studies. This paper integrates research on scale from several disciplines to identify commonalities.

We have simulated a liquid-vapor interface which is confined by two parallel walls. Initially, a liquid slab is positioned perpendicular to the walls. The liquid-vapor interface deforms to a cylindrical surface which makes a definite contact angle with the walls. The angle could be varied...

The eigenvalue problem of an electron in the plane in the presence of a repulsive scatterer is studied. The electron is subject to a weak in-plane electric field and a magnetic field perpendicular to the plane. The associated magnetic length is much larger than the range of the scatterer. In...

The interfacial profile for the order parameter is calculated for a system with a LGW-Hamiltonian extended with an external field coupling to the order parameter. The calculation is restricted to the vicinity of the critical point and is carried out to first order in the ε-expansion. The...

The variational principles introduced by Kadanoff et al. in the renormalization theory are analyzed. It is shown that the values for the specific heat critical exponent α which can be found by a variational method are restricted to α 0 or α = 1 (first order transition). The reason is the...

We investigate two specific renormalization transformations and show numerically that size effects on the transformation are exponentially weak. This implies the absence of analytic background of finite size corrections in the thermodynamic critical properties. Similar simplifications do not...