What does this research mean for the field?

Non-equilibrium phase transitions can be characterized as Péclet transitions, with implications for various physical phenomena including ferromagnetism, glass transitions, and superconductivity. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The research aims to explore the role of the Péclet number in non-equilibrium phase transitions and its implications for material properties.

March 1, 2026Open Access

The Materials Péclet Number: Non-Equilibrium Phase Transitions as Drift-Diffusion Crossovers

Key Points

The research aims to explore the role of the Péclet number in non-equilibrium phase transitions and its implications for material properties.
Derivation of 13 predictions related to phase transitions
Analysis of critical exponents
Examination of Kibble-Zurek scaling
Investigation of spinodal decomposition in void networks
Identification of various phase transitions as Pe transitions
Characterization of ferromagnetic and glass transitions
Insights into the regime of BCS superconductivity regarding Cooper pairs
Establishment of Pe engineering in metamaterial design

Abstract

Every non-equilibrium phase transition is a Pe transition. Ferromagnetic Curie temperature = V* crossing. Glass transition = metastable drift state. BCS superconductivity = Cooper pair Pe<1 regime. Metamaterial design = Pe engineering. Derives 13 falsifiable predictions (PT-1 through PT-13) with critical exponents, Kibble-Zurek scaling, and spinodal decomposition in void networks.

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