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
9 Pith papers cite this work, alongside 6,212 external citations. Polarity classification is still indexing.
9
Pith papers citing it
6,212
external citations · Crossref
citation-role summary
background 1
citation-polarity summary
fields
cs.LG 2 cond-mat.dis-nn 1 cond-mat.mes-hall 1 cond-mat.mtrl-sci 1 cond-mat.soft 1 cond-mat.stat-mech 1 math.PR 1 physics.bio-ph 1roles
background 1polarities
background 1representative citing papers
A theoretical model derives the universal mammalian vascular branching exponent α* ≈ 2.72 from a network-level minimax principle and topological rigidity theorem grounded in ATP costs, yielding α*_model ≈ 2.626 with heterogeneities shifting it to observed values.
A spectral Mahalanobis kinetic metric measures partial ultrametricity of RNA energy landscapes (15–57% of triples) and shows that in high-ultrametricity sequences, nucleotide order — not just composition — shapes the hierarchy.
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 neural constitutive model with hard thermodynamic constraints learns inelastic stress-strain behavior from data and predicts unseen cyclic paths, including granular-media hysteresis.
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.
citing papers explorer
-
Theory of fracture initiation and propagation in viscoelastic media
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.
-
The Incommensurability Principle in Biological Transport
A theoretical model derives the universal mammalian vascular branching exponent α* ≈ 2.72 from a network-level minimax principle and topological rigidity theorem grounded in ATP costs, yielding α*_model ≈ 2.626 with heterogeneities shifting it to observed values.
-
Kinetic metric for basins of attraction of RNA secondary structures and analysis of the ultrametricity of the energy landscape
A spectral Mahalanobis kinetic metric measures partial ultrametricity of RNA energy landscapes (15–57% of triples) and shows that in high-ultrametricity sequences, nucleotide order — not just composition — shapes the hierarchy.
-
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.
-
A Dirac-Frenkel-Onsager principle: Instantaneous residual minimization with gauge momentum for nonlinear parametrizations of PDE solutions
A new Dirac-Frenkel-Onsager dynamics injects gauge momentum to achieve unbiased, temporally smooth parameter evolution for nonlinear PDE approximations.
-
Interlayer electric multipole Hall effect in twisted multilayers
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.
-
Learning inelastic constitutive models from stress-strain data under hard thermodynamic constraints
A neural constitutive model with hard thermodynamic constraints learns inelastic stress-strain behavior from data and predicts unseen cyclic paths, including granular-media hysteresis.
-
Order Is Not Control
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%.
-
Nambu Non-equilibrium Thermodynamics: Axiomatic Formulation and Foundation
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.