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We’ve recently been interested how multiparameter models in many fields of physics (from systems biology to cosmology) have collective behavior which depends only loosely on their parameters; these sloppy models work in some ways for the same reasons that underlie continuum limits and the renormalization group. In materials physics, we are using statistical mechanics to understand plasticity and fracture in disordered materials – our models show fractal dislocation structures and earthquake-like crackling noise. We are also working on nonlinear scaling variables in the renormalization group, on theories of jamming, and using dynamical systems theory and the theory of superconductivity to help build better particle accelerators.
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WORLD SCIENTIFIC eBookspp.277-305, (2023)
arXiv (Cornell University) (2023)
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