Functional Renormalization for Elastic Burgulence
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Functional Renormalization for Elastic Burgulence
Announce Type: new Abstract: We formulate elastic and elasto-inertial turbulence in the Martin-Siggia-Rose path-integral formalism and develop a systematic source-extended symmetry algorithm to derive Ward identities directly from the Euler-Lagrange equations. These identities provide nonperturbative constraints and a principled foundation for constructing closure schemes. As a dimensionally reduced model for elastic turbulence, we propose an extended Burgers equation that preserves the...