Complex Adaptive Matter

 

Professor George Gruner

University of California at Los Angeles

Department of Physics

405 Hilgard Avenue

Los Angeles, CA 90024

(310) 825-8782

(310) 825-5734 FAX

gruner@physics.ucla.edu

 

The essential ingredients

My definition of CAM is a material with the following essential features:

many relevant degrees of freedom. By relevant I mean that these degrees of freedom play an essential role in the response to external perturbation.

close to an instability or close to the condition for the emergence of a new order parameter.

nonlinear coupling and a feedback mechanism ñ together with the action-reaction principle

I am not sure whether all the above are important for adaptation but they appear to play an essential role in the systems which are listed below.

Some of the consequences

There are (or may be) a variety of consequences as far as the response to external parameters or drives is concerned:

large and nonlinear response to small perturbations

order parameter segregation and spatial structure formation

divergent time scales

hysteresis, metastability, and possibly memory

self organized criticality

Model systems

Interacting electron systems (heavy fermions, oxides, linear chain conductors) close to broken symmetry

Driven many degree of freedom systems (Density waves, Josephson arrays, vortex crystals etc.)

Self assemblies, biomaterials

Some glasses with nonlinear coupling

Many of the phenomena which are listed under 2. Are readily observed in these systems, but often are described using a different language.

Relevant probes

There are several probes which are particularly useful in addressing these issues:

Probes with spatial sampling (MRI, scanning probes etc.)

Low energy spectroscopies (to explore modes which extend to zero energies)

In addition access to the variation of external parameters, such as P, T, H and E (electric field) are essential.