Thin films and entropic repulsion for Gaussian Free Field (A08)

• Subject Area: Mathematics
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 516748464

We examine thin liquid or solid films on rigid substrates, focusing on the consequences of the rigid base, particularly entropic repulsion for random surfaces, the impact of thermal fluctuations in micro-fluids, and the suitability of the subgraph assumption for crystalline films. The project's main goals are to construct the continuous 2D Gaussian free field under the hard wall repulsion condition, characterize the SPDE dynamics of the micro-fluid, and understand limitations of the subgraph assumption, starting with a model for epitaxial crystal growth.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 388: Rough Analysis, Stochastic Dynamics and Related Fields
• Applicant Institution: Technische Universität Berlin
• Project Heads: Professor Dr. Jean-Dominique Deuschel; Professor Dr. Felix Otto; Professorin Dr. Barbara Zwicknagl