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Professor Sander’s interests are in the theory of growth processes. His group uses analytical and numerical simulation techniques to treat the behavior of systems far from equilibrium, and, in particular the development of symmetries such as fractal scaling.
• The group is actively interested in four topics at the moment:
• Diffusion-Limited Aggregation (the Witten-Sander model). (Sander’s original paper with T. Witten on this subject is the 9th most cited Physical Review Letter in the history of the journal).
• The growth of islands on surfaces and applications to materials science.
• The growth of highly malignant brain tumors.
• The application of techniques from statistical physics to describe the spread of epidemics.
Professor Sander is a Fellow of the American Physical Society.
Selected Publications
Geography in a Scale-Free Network Model, Phys. Rev. E 66, 056105 (2002).
Competing Roughening Mechanisms in Strained Heteroepitaxy: A Fast Monte Carlo Study, (C. H. Lam, C. K. Lee, and L. M. Sander), Phys. Rev. Lett. 89, 216102 (2002).
Diffusion Limited Aggregation and Iterated Conformal Maps, (B. Davidovitch et al.), Phys. Rev. E 59, 1368 (1999).
Instabilities in Mbe Growth, (A. W. Hunt, C. Orme, D. R. M. Williams, B. G. Orr, and L. M. Sander), Europhysics Letters 27, 611-616 (1994).
Effect of Strain On Surface-Morphology in Highly Strained InGaAs Films, (C. W. Snyder, B. G. Orr, D. Kessler and L. M. Sander), Physical Review Letters 66, 3032-3035 (1991).
Fractal Growth, (L. M. Sander), Scientific American 256, 94-100 (1987).
Diffusion-Limited Aggregation, A Kinetic Critical Phenomenon, (T. A. Witten and L. M. Sander), Physical Review Letters 47, 1400-1403 (1981).
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