CENTER FOR APPLIED MATHEMATICS AND THEORETICAL PHYSICS
UNIVERZA V MARIBORU $\bullet$ UNIVERSITY OF MARIBOR
KREKOVA 2 $\bullet$ SI-2000 MARIBOR $\bullet$ SLOVENIA
Phone +(386) (2) 2355 350 and 2355 351 $\bullet$ Fax +(386) (2) 2355 360
Robnik@uni-mb.si $\bullet$ www.camtp.uni-mb.si
PROF.DR. MARKO ROBNIK, DIRECTOR

Seminarsko predavanje
Centra za uporabno matematiko in teoretično fiziko

Modeling of anomalous behaviors of soft matter

Dr. Wen Chen

Institute of soft matter mechanics, Hohai University,
Nanjing City 210098, P.R. China

Abstract: Soft matter (e.g., human tissues, polymers, colloids, emulsions, foams, living organisms, rock layers, sediments, plastics, glass, rubber, oil, soil, DNA) has become an important bridge between physics and diverse disciplines. The frequency scaling power law of fractional order appears universal in physical behaviors of soft matter and is considered anomalous compared with those of the ideal solids and fluids. For instance, a fractional frequency power law is the universal dielectric response in soft matter. The acoustic wave propagation through soft matters obeys frequency power law dissipation. The standard mathematical modeling approach using integer-order time-space derivatives can not accurately reflect fractional frequency power law, while the fractional derivatives are instead found an irreplaceable modeling approach. In particular, anomalous diffusion equation has been recognized as a master equation to describe frequency power scaling of various physical processes (e.g., transport, relaxation, dissipation). I will give a survey of the current status and future trend of the modeling of soft matter.

Seminarsko predavanje bo v ponedeljek, 19. junija 2006 ob 15:15 uri v seminarski sobi CAMTP, Krekova 2, pritličje. Vljudno vabljeni vsi zainteresirani, tudi študenti.

Prof.Dr. Marko Robnik
-- Direktor CAMTP --