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DY: Fachverband Dynamik und Statistische Physik
DY 24: Focus Session: New Trends in Nonequilibrium Physics – Conservation Laws and Nonreciprocal Interactions I
DY 24.1: Invited Talk
Wednesday, March 20, 2024, 09:30–10:00, BH-N 243
The nonreciprocal Cahn-Hilliard model - properties and significance — •Uwe Thiele1, 2, Tobias Frohoff-Hülsmann1, and Daniel Greve1 — 1Institut für Theoretische Physik, Universität Münster, Germany — 2Center for Nonlinear Science (CeNoS), Universität Münster, Germany
The phenomenologically introduced nonreciprocal Cahn-Hilliard (NRCH) model couples densities with mass-conserving dynamics via a nonreciprocal interaction [1]. After discussing types of nonreciprocity and their relation to a ’spurious’ gradient dynamics form (allowing for a Maxwell construction) we show that the NRCH model features conserved-Turing and conserved-Hopf instabilities beside the usual Cahn-Hilliard instability. Then, we discus the model’s role as a high-codimension amplitude equation (AE) placing it within a hierarchy of AE for the eight types of instabilities of uniform steady states in homogeneous isotropic systems resulting from the combination of three features: large- vs small-scale, stationary vs oscillatory, and with vs without conservation law(s) [2]. Further, a codimension-one AE for the conserved-Hopf instability is discussed and compared to [3].
[1] ZH You, A Baskaran, MC Marchetti, PNAS 117, 19767 (2020); S Saha, J Agudo-Canalejo, R Golestanian, PRX 10, 041009 (2020); T Frohoff-Hülsmann, J Wrembel, U Thiele, PRE 103, 042602 (2021). [2] T Frohoff-Hülsmann, U Thiele, PRL 131, 107201 (2023). [3] A Nepomnyashchy, S Shklyaev, J Phys A 49, 053001 (2016); A Förtsch, W Zimmermann, DY 4.4, DPG Spring Meeting 2023, Dresden; A Förtsch, Thesis Bayreuth 2023.
Keywords: nonreciprocal Cahn-Hilliard model; conserved-Hopf instability; conservation laws; amplitude equation; 'spurious' gradient dynamics