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Dynamic Kernel Evolution in the Entropy-Decay Curvature Framework and Its Manifestation in Graphene Transport

Authors: TSANG, LOUIS HIN LOK;

Dynamic Kernel Evolution in the Entropy-Decay Curvature Framework and Its Manifestation in Graphene Transport

Abstract

This preprint presents a phenomenological framework for non-stationary interaction kernel evolution applied to transport in ultraclean graphene near the Dirac point. The analysis identifies synchronized anomalies across multiple observables within a localized temperature window and interprets them as signatures of evolving interaction-weighting structure. The framework is applied to previously reported experimental measurements of ultraclean graphene near the Dirac point. An effective kernel memory scale is extracted from minimum conductivity and expressed as a dimensionless ratio relative to the Planckian thermal timescale. The resulting ratio decreases monotonically with temperature following a power-law dependence, remaining sub-Planckian across the measured range. This provides a quantitative proxy for the evolution of interaction-weighting structure under varying thermal conditions. The theoretical structure and its empirical interpretation are under active development, and subsequent work will further refine both the formalism and its experimental connections.

Keywords

Nonlinear Dynamics, Entropy, Graphene, Models, Theoretical, Theoretical physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green