Events

DMS Graduate Student Seminar

Time: Sep 03, 2025 (03:00 PM)
Location: 354 Parker Hall

Details:
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Speaker: Dr. Le Chen
 
Title: How do surfaces grow?

 
Abstract: How do surfaces grow, and why do so many look statistically alike? This talk connects intuitive simulations with modern probability to explore surface growth and universality. We begin with a CLT refresher as a baseline for randomness, then show why it fails for growing interfaces: local interactions and spatial-temporal dependencies break independence. Using Tetris-like ballistic deposition (sticky and non-sticky) as model systems, we compare simulated interfaces and empirical fluctuation scaling, and discuss their relation to the KPZ universality class. We then highlight experimental evidence from thin-film growth where universal scaling emerges in real materials. Along the way, we emphasize what "universality" means, how scaling exponents organize phenomena, and where open questions remain—such as identifying non-KPZ behaviors. The goal is a concrete, visual understanding of stochastic growth, bridging simulations, data, and theory.