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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 24.12: Talk
Wednesday, March 20, 2024, 12:45–13:00, BH-N 243
Correlation effects in the non-reciprocal Ising system — •Kristian Blom1, Uwe Thiele2, and Aljaz Godec1 — 1Max Planck Institute for Multidisciplinary Sciences, Göttingen — 2Universität Münster, Münster
Non-variational continuum models like the non-reciprocal Cahn-Hilliard model are typically constructed using phenomenological reasoning, and their full consistency with microscopic models may thus not be taken for granted. In this talk, we focus on the bottom-up construction of a non-reciprocal phase field system, starting from a pair of opposing non-reciprocally coupled Ising models evolving according to Kawasaki or Glauber dynamics. To analyze the thermodynamic properties of the system, we develop a kinetic variant of the Bethe-Guggenheim approximation that explicitly accounts for pair-correlations, and thus goes beyond the mean field reasoning. Unlike the mean field approximation, our approach provides results for both, the magnetization and local defects within and between the lattices. The coupling between the magnetization and defects gives rise to a rich kinetic phase diagram. Our results reveal the conditions under which the various phases are stable, and how they depend on both, the reciprocal and non-reciprocal coupling between spins.
Keywords: non-reciprocal interactions; pair correlations; Ising model; lattice model; nonlinear stability