Project Grant 2345533

Award Date 7/1/23
Completion Date 5/31/25
Dollars Obligated $187K
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Pittsburgh, PA 15213, USA
Similar Awards
This $202,091 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on interacting particle systems and related models in statistical mechanics. The primary awardee, Barnard College, will conduct studies focused on three main directions: the analysis of log-gases, investigations of the Kardar-Parisi-Zhang equation, and the examination of traffic models. The research aims to achieve a better understanding of the...
This $300,000 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support the development of new frameworks for studying large multi-agent and many-particle systems at Penn State University from August 2022 through July 2025. The grantee aims to reduce complexity in systems with very large numbers of non-identical, non-exchangeable agents or particles by replacing exact interactions with a mean field approximation. Novel methods will...
This $108,176 Project Grant awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research at the California Institute of Technology (Caltech) on interacting particle systems and their application to optimization, sampling, and filtering algorithms. The 5-year award, effective June 1, 2024, aims to develop a unified mathematical framework for these algorithms by reformulating them from the perspective of interacting particle systems....
This Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences, under the 47.049 Mathematical and Physical Sciences program, aims to advance the understanding and performance of sampling algorithms used to simulate particle evolution and converge to target probability distributions. The $150,000 award will fund research by the principal investigator (PI) at Carnegie Mellon University to: (1) develop a framework to analyze the long-term convergence...
This Project Grant award, valued at $144,902.00 and provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), aims to advance scientific knowledge and computational methods in two key areas: Enhanced Dissipation: The award will fund a quantitative study of the phenomenon of "enhanced dissipation", where the interaction between advection and diffusion results in an increased rate of convergence to equilibrium. The project plans to...
This National Science Foundation Project Grant of $436,084 supports research at Carnegie Mellon University from May 2022 through April 2025 under the Mathematical and Physical Sciences program (CFDA 47.049). The award will fund the development of novel methods to control interactions between polymer and nanomaterial constituents in polymer nanocomposites. Specifically, the grantee will synthesize brush particle model systems and characterize the structure evolution of liquid-crystal phase...
The National Science Foundation awarded $600,000 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to Carnegie Mellon University from July 1, 2022 to June 30, 2025. The award will support research using large-scale computing resources to study multi-hadron interactions through lattice quantum chromodynamics simulations with the stochastic laph method. Key products include computations of nucleon-pion, nucleon-nucleon, and nucleon-hyperon scattering phase shifts...
This three-year Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $659,740 to the University of North Carolina at Chapel Hill to support research centered around stochastic dynamical systems describing interacting particle behavior. The research aims to characterize typical behavior, fluctuation probabilities, and large deviations for such systems as the number of particles...
This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) provides $350,000 to the University of Texas at Austin to develop accurate mathematical models and computer simulations for non-equilibrium systems with memory effects. The research aims to address complex scientific phenomena across diverse domains, including biosystems, plasma evolution, and solar energy, by designing novel computational approaches that integrate...
This $298,494 Project Grant awarded by the National Science Foundation (NSF) Division of Physics supports research on "Beyond Mean-Field Physics in Dynamical Bose-Einstein Condensates" under the NSF's Mathematical and Physical Sciences (CFDA 47.049) program. The project aims to explore a variety of nonequilibrium processes in ultracold quantum gases, with a focus on investigating quantum and thermal fluctuation effects on the collision and thermalization of cold atoms, quantum phase...

This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) will fund research at Carnegie Mellon University (CMU) on mean-field and singular limits of deterministic and stochastic interacting particle systems. The $187,382 award, with a performance period from July 1, 2023 to May 31, 2025, aims to achieve a substantial reduction in computational complexity for modeling the behavior of large numbers of interacting particles, such as atoms or molecules in a confined system. The research results are expected to have direct applicability to modeling states of matter like Bose-Einstein condensates and plasmas, as well as particle-like behaviors in fluids and superconductors. This award will also provide mentoring and training opportunities for a new generation of researchers at the intersection of mathematics and physics.

Generated 6/18/24, 1:48 PM