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Modulated Phases: Review and Recent Results David Andelman*

Summary: Modulated Phases: Review and Recent Results
David Andelman*
Raymond and BeVerly Sackler School of Physics and Astronomy, Tel AViV UniVersity, Ramat AViV,
Tel AViV 69978, Israel
Ronald E. Rosensweig
34 Gloucester Road, Summit, New Jersey 07901
ReceiVed: September 1, 2008; ReVised Manuscript ReceiVed: September 20, 2008
We consider aspects of patternings that occur in a wide array of physical systems due to interacting combinations
of dipolar, interfacial, charge exchange, entropic, and geometric influences. We review well-established
phenomena as a basis for discussion of more recent developments. The materials of interest range from bulk
inorganic solids and polymer organic melts to fluid colloids. Often, there are unifying principles behind the
various modulated structures, such as the competition between surface or line tension and dipolar interaction
in thermally reversible systems. Generally, their properties can be understood by free-energy minimization.
I. Introduction
A diverse number of physical, chemical, and biological
systems exhibit some type of modulation in their structural
Examples of such structures in two-dimensional
(2D) systems are elongated stripes and compact droplet-like
domains, as can be seen in Figure 1. In the figure, domains in


Source: Andelman, David - School of Physics and Astronomy, Tel Aviv University


Collections: Materials Science; Physics