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Response Theory via Generative Score Modeling.
Phys Rev Lett
December 2024
Massachusetts Institute of Technology, Cambridge, Massachusetts, USA.
We introduce an approach for analyzing the responses of dynamical systems to external perturbations that combines score-based generative modeling with the generalized fluctuation-dissipation theorem. The methodology enables accurate estimation of system responses, including those with non-Gaussian statistics. We numerically validate our approach using time-series data from three different stochastic partial differential equations of increasing complexity: an Ornstein-Uhlenbeck process with spatially correlated noise, a modified stochastic Allen-Cahn equation, and the 2D Navier-Stokes equations.
View Article and Find Full Text PDFEvaporating Primordial Black Holes, the String Axiverse, and Hot Dark Radiation.
Phys Rev Lett
December 2024
Univ Coimbra, Faculdade de Ciências e Tecnologia da Universidade de Coimbra and CFisUC, Rua Larga, 3004-516 Coimbra, Portugal.
The search for primordial black holes (PBHs) with masses M≪M_{⊙} is motivated by natural early-Universe production mechanisms and that PBHs can be dark matter. For M≲10^{14} kg, the PBH density is constrained by null searches for their expected Hawking emission (HE), the characteristics of which are, however, sensitive to new states beyond the standard model. If there exists a large number of spin-0 particles in nature, PBHs can, through HE, develop and maintain non-negligible spins, modifying the visible HE.
View Article and Find Full Text PDFEmergent Canonical Spin Tensor in the Chiral-Symmetric Hot QCD.
Phys Rev Lett
December 2024
Stony Brook University, Center for Nuclear Theory, Department of Physics and Astronomy, Stony Brook, New York 11794-3800, USA.
The spin tensor is fundamental to relativistic spin hydrodynamics, but its definition is ambiguous due to the pseudogauge symmetry. We show that this ambiguity can be solved in interacting field theories. We prove that the mean-field limit of a modified Nambu-Jona-Lasinio model with spin-spin interactions is equivalent to nondissipative spin hydrodynamics with a canonical spin tensor.
View Article and Find Full Text PDFImportance: The effectiveness of different approaches to dementia care is unknown.
Objective: To determine the effectiveness of health system-based, community-based dementia care, and usual care for persons with dementia and for caregiver outcomes.
Design, Setting, And Participants: Randomized clinical trial of community-dwelling persons living with dementia and their caregivers conducted at 4 sites in the US (enrollment June 2019-January 2023; final follow-up, August 2023).
Modulation of Electrochemical Reactions through External Stimuli: Applications in Oxygen Evolution Reaction and Beyond.
ACS Nano
January 2025
Department of Materials Science and Engineering, National University of Singapore, Singapore 117575, Singapore.
Electrochemical water splitting is a promising method for generating green hydrogen gas, offering a sustainable approach to addressing global energy challenges. However, the sluggish kinetics of the anodic oxygen evolution reaction (OER) poses a great obstacle to its practical application. Recently, increasing attention has been focused on introducing various external stimuli to modify the OER process.
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