The dramatic recent advances in molecular biology, which have opened a new
era in medicine and biotechnology, rely on improved techniques to study lar
ge molecules. Electrophoresis is one of the most important of these. Separa
tion of DNA by size, in particular, is at the heart of genome mapping and s
equencing and is likely to play an increasing role in diagnosis. This artic
le reviews, from the point of view of a physicist, the mechanisms responsib
le for electrophoretic separation of polyelectrolytes. This separation is m
ainly performed in gels, and a wide variety of migration mechanisms can com
e into play, depending on the polyelectrolyte's architecture, on the electr
ic fields applied, and on the properties of the gel. After a brief review o
f the thermodynamic and electrohydrodynamic principles relating to polyelec
trolyte solutions, the author treats the phenomenology of electrophoresis a
nd describes the conceptual and theoretical tools in the field. The reptati
on mechanisms, by which large flexible polyelectrolytes thread their way th
rough the pores of the gel matrix, play a prominent role. Biased reptation,
the extension of this model to electrophoresis; provides a very intuitive
framework within which numerous physical ideas can be introduced and discus
sed. It has been the most popular theory in this domain, and it remains an
inspiring concept for current development. There have also been important a
dvances in experimental techniques such as single-molecule viodeomicroscopy
and the development of nongel separation media and mechanisms. These, in t
urn, form the basis for fast-developing and innovative technologies like ca
pillary electrophoresis, elechophoresis on microchips, and molecular ratche
ts.