Instanton calculus plus fusion rules, seeded with low-order DNS inputs, yields high-order velocity gradient moments and structure function exponents in Burgers turbulence, capturing the intermittency crossover at Re_lambda ≈ 1.
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Operator PIRGs complete the prior PIRG method by enabling computation of all correlation functions, demonstrated analytically in zero-dimensional phi^4 theory via vertex expansion to ten-point functions.
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Intermittency from instanton calculus at the transition to turbulence and fusion rules
Instanton calculus plus fusion rules, seeded with low-order DNS inputs, yields high-order velocity gradient moments and structure function exponents in Burgers turbulence, capturing the intermittency crossover at Re_lambda ≈ 1.
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Physics-informed operator flows and observables
Operator PIRGs complete the prior PIRG method by enabling computation of all correlation functions, demonstrated analytically in zero-dimensional phi^4 theory via vertex expansion to ten-point functions.