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Scientific Background

 

Scientific advances in the 20th Century .

 

The idea of criticality

 

 

The Frontier Science of  Emergent Materials


 

As we stand at the edge of the 21st  century, equally bold new developments are now possible, and revolutions ahead will almost certainly depend on a new fabric of understanding.  In addition to the conventional frontiers of the very small and very large, the scientific community is increasingly aware of a new frontier- that of emergent and collective behavior.  As matter becomes more complex, as one goes from the simplest elements, to ever more complex crystals, new kinds of behavior, often wholy unexpected, emerge from the collective interaction of its constituents. It is this emergent behavior that drives the crystallization of matter, the formation of magnets, superconductors, the folding of proteins and ultimately, the organizing principles on which life itself depends. The discoveries of the last twenty years- and the ever closer convergence between biology and physics beckon us to  develop principles that govern the emergent, collective behavior of complex systems.  The study of the new principles that govern the collective behavior of matter is a frontier in its own right, complimentary to those of particle physics and cosmology.

 

 

 

Some examples of areas of study in the field of condensed matter physics are shown above. The first example, that of colossal magnetoresistance (CMR), is a good example of how quite often, deep intellectual problems- here the problem of understanding why a material can be driven insulating by a magnetic field can also have important real-world applications, such as the development of new types of magnetic memory  device. The second two examples emphasize some of the deep unsolved problems in collective matter behavior: the unsolved problem of the collective motion in avalanches- important for understanding granular matter; the physics of water-drop formation,  which may be important for the understanding of star formation, and lastly, the mysterious linear temperature dependence of the resistitivity in the normal state of high temperature superconductors, whereby linear resistivity continues from liquid Helium temperatures, up to the melting point of the material.   The metallic state which forms in these materials is thought by some, to be driven by an underlying state of quantum criticality (see above).