Dresden 2026 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 41: Poster: Nonlinear Dynamics, Granular Matter, and Machine Learning
DY 41.10: Poster
Wednesday, March 11, 2026, 15:00–18:00, P5
Dynamic Models for Two Nonreciprocally Coupled Fields: A Microscopic Derivation for Zero, One, and Two Conservation Laws — Kristian Blom1, •Uwe Thiele1, and Aljaz Godec2 — 1Institute of Theoretical Physics, University of Münster, Wilhelm-Klemm-Strasse 9, 48149 Münster, Germany — 2Mathematical bioPhysics group, Max Planck Institute for Multidisciplinary Sciences, Am Faßberg 11, 37077 Göttingen, Germany
Dynamical field theories form a cornerstone of statistical and soft matter physics, providing continuum descriptions of complex systems through a coarse-grained order parameter field. These theories can be derived either by explicit coarse-graining of microscopic dynamics or by top-down symmetry and conservation arguments.
An intriguing class of such models are nonreciprocal field theories, including the nonreciprocal Allen-Cahn and Cahn-Hilliard models, which describe the spatiotemporal evolution of two fields coupled through interactions that violate Newton's third law. Depending on the underlying microscopic dynamics, two interacting fields may exhibit zero, one, or two conservation laws associated.
In this poster, we demonstrate how the evolution equations for each of these scenarios can be systematically derived from a single microscopic framework: the nonreciprocal Ising model. After obtaining the corresponding field-theoretic descriptions, we briefly discuss their linear and nonlinear behavior, and finally show how distinct combinations of kinetic modes give rise to a set of sixteen different nonreciprocal field theories.
Keywords: Ising model; Nonreciprocal Cahn-Hilliard model; Coarsegraining; Bifurcation analysis