A PVW-based framework predicts viscoelastic crack delay times and crack evolution under arbitrary loads while introducing a path-independent J-integral that yields a generalized Griffith criterion for delayed fracture.
Reciprocal Relations in Irreversible Processes
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Proves quantitative Einstein relation with explicit quenched algebraic rate for reversible diffusions in random environments.
A new Dirac-Frenkel-Onsager dynamics injects gauge momentum to achieve unbiased, temporally smooth parameter evolution for nonlinear PDE approximations.
Twisted multilayers show interlayer electric multipole Hall effects from layer pseudospin textures, with tunable currents in trilayers via interlayer translation and additive interface contributions at large angles.
A new kinetic metric from spectral analysis of transition rates is applied to RNA energy landscapes, showing that ultrametricity depends on nucleotide order for fixed composition.
A thermodynamics-constrained ML framework learns robust, consistent constitutive models for inelastic materials from macroscopic stress-strain data and generalizes to unseen paths.
Order is distinct from control, where control is defined as a local receiver-gated response law demonstrated across biological circuits and LLM response panels with reported prediction accuracies of 72-84%.
NNET unifies Nambu-bracket reversible dynamics with entropy-gradient irreversible processes in a covariant formulation, illustrated by emergent conserved quantities in a triangular chemical reaction network.
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Quantitative Einstein relation for reversible diffusions in a random environment
Proves quantitative Einstein relation with explicit quenched algebraic rate for reversible diffusions in random environments.