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.

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...

The interfacial profile of the order parameter between two coexisting phases has been calculated for a one-dimensional system. It is analyzed in terms of the critical scaling fields governing the interfacial profile near a critical point. The results are compared with the Fisk-Widom theory of...