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Nonl inear ideas of a "sol iton" variety have been a unifying
influence on the na tura 1 sci ences for many decades. HO~/ever,
thei r uni versa 1 a pprec i at i on in the physics community as a
genuine paradigm is very much a current develop- ment. All of us
who have been associated with this recent wave of enthusiasm were
impressed with the variety of applications, their inevitability
once the mental contraint of linear normal modes is removed, and
above all by the common mathematical structures underpinning
applications with quite different (and often novel) physical
manifestations. This has certainly been the situ- ation in
condensed matter, and when, during the Paris Lattice Dynamics Con-
ference (September 1977), one of us (T. S. ) first suggested a
condensed matter soliton Meeting, the idea was strongly encouraged.
It would provide an opportunity to exhibit the common mathematical
problems, illuminate the new contexts, and thereby focus the
"subject" of nonlinear physics at this embryonic stage of its
evolution. The original conception was to achieve a balance of
mathematicians and phy~cis~ such that each would benefit from the
other's expertise and out- look. In contrast to many soliton
Meetings, hO~/ever, a deliberate attempt was made to emphasize
physics contexts rather than mathematical details.
There is considerable interest in the intrinsically multiscale
structure and dynamics of complex electronic oxides, especially
since these materials include those of technological importance,
such as colossal magnetoresistance manganites and cuprate high
temperature superconductors. Current microscopies, such as diffuse
X-ray and inelastic neutron scattering, electromagnetic and
acoustic response, NMR and scanning tunneling microscope probes,
have revealed static and dynamic multiscale patterns in charge
positioning, lattice structure and magnetic orientation, that
respond to both external stress and magnetic field. These
self-organized patterns include charge and orbital ordering;
stripes in strain/spin; and labyrinth-like conductance modulations.
The materials exhibit nanoscale phase segregation and mesoscale
inhomogeneous clustering, and their phase transitions can have a
percolative character.This volume gathers experimental and
theoretical work on these exciting new developments in condensed
matter physics and materials science.
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