2 papers
math-ph2026
Topological Foundations of Multi-Field Instabilities in Continua: Part 1: Foundations Part 2:Analytical Formulation for 1-D Spin Chains Part 3: Numerical Upscaling
Klaus Regenauer-Lieb, Francois Nicot, Amir Saker
This three-part series establishes a parameter-free, topological classification of multi-field instability in granular continua, extending Maxwell's rigidity count to dynamic, non-…
math-ph2026
Thermodynamic Invariants of Coupled Channels: A Many-Channel Tolman-Ehrenfest Effect
Benjamin Hamblin, Victor Calo, Klaus Regenauer-Lieb
When multiple thermodynamic channels are coupled, single-channel equilibrium conditions fail. Extending the Tolman--Ehrenfest effect to the entropy manifold, we derive the unique $…