Chapter

THE SURFACE STATISTICS OF A GROWING AGGREGATE

Mehran Kardar

in Stealing the Gold

Published in print December 2004 | ISBN: 9780198528531
Published online September 2007 | e-ISBN: 9780191713415 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780198528531.003.0023

Series: International Series of Monographs on Physics

 THE SURFACE STATISTICS OF A GROWING AGGREGATE

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The paper on ‘The surface statistics of a granular aggregate’ by Edwards and Wilkinson (1982) established an enduring framework for characterizing dynamic scaling phenomena for growing surfaces. More generally, it provided a new way of analyzing fluctuation phenomena in a variety of non-equilibrium circumstances. After briefly reviewing some key concepts of the Edwards-Wilkinson equation, a number of its generalizations in connection with different types of growing surfaces are described. Growth equations are related by mathematical links to sums over directed paths in random media. The latter reveals further connections to the contributions of Edwards in polymer physics (path integrals) and disordered systems (the replica formalism).

Keywords: Edwards-Wilkinson; Kardar-Parisi-Zhang; KPZ; dynamic scaling; surface growth; non-equilibrium

Chapter.  9314 words. 

Subjects: Mathematical and Statistical Physics

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