Multiscale Analysis and Methods for Quantum and Kinetic Problems

Overview

Quantum and kinetic problems have been widely encountered in the modeling and description for many problems in science and engineering with quantum effect (wave-particle duality and/or quantization) and particle interaction as well as active matter dynamics. Over the last two decades, quantum and kinetic models have been adapted for the modeling of tremendous new experiments in physics, materials science, fluid dynamics and biology, such as Bose-Einstein condensation, fermion condensation, quantum fluids of light, degenerate quantum gas, graphene and 2D materials, etc., and for the kinetic description of emerging applications in biology and social science, such as cell migration, collective motion of active matter, network formation and dynamics in  social science, coherent structures in crowd and traffic dynamics, flocking, swarming, epidemiology, etc. These new surprising experiments and emerging applications call for greater participation of mathematicians and computational scientists to address some fundamental questions related to quantum and kinetic problems, to work together with applied scientists from the modeling to computational stages, to provide mathematical analysis for justifying different models, and to design efficient and accurate computational methods.

This program will bring applied and pure mathematicians, theoretical physicists, computational materials scientists and other applied scientists together to review, develop and promote interdisciplinary researches on multiscale analysis and methods for quantum and kinetic problems that often arise in science and engineering. It will provide a forum to highlight progress in a broad range of application areas, within a coherent theme and with greater emphasis on multiscale modeling, mathematical analysis and numerical simulation for quantum and kinetic problems with emerging applications in quantum physics and chemistry, degenerate quantum gas and quantum fluids, graphene and 2D materials, network formation, collective motion in biology and social science, active matter dynamics, epidemiology, etc.