An exact equation-level duality maps every conserved chemical-potential theory onto the slow manifold of a mass-conserving reaction-diffusion system and recovers the chemical-potential form from any McRD system with an attractive nullcline in the fast-interconversion limit.
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Equi- librium morphology of block copolymer melts
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A Lyapunov functional is derived for chemically active mixtures, producing a generalized Gibbs phase rule that governs coexistence of multiple patterned phases via modular combination.
Identifies conditions and explicit constructions allowing polynomial-size quantum circuits to implement geometry oracles for pseudorandom textured materials, in contrast to Grover-hard unstructured cases.
Active transport via motor-protein binding generates long-range repulsion that selects finite sizes for biomolecular condensates in a minimal diffusion-transport model.
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Duality Between Chemical Potential Dynamics and Reaction-Diffusion Systems
An exact equation-level duality maps every conserved chemical-potential theory onto the slow manifold of a mass-conserving reaction-diffusion system and recovers the chemical-potential form from any McRD system with an attractive nullcline in the fast-interconversion limit.
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Coexistence of patterned phases in chemically active multicomponent mixtures
A Lyapunov functional is derived for chemically active mixtures, producing a generalized Gibbs phase rule that governs coexistence of multiple patterned phases via modular combination.
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How to make quantum cheese: efficient geometry oracles for exponentially many pseudorandom microstructures
Identifies conditions and explicit constructions allowing polynomial-size quantum circuits to implement geometry oracles for pseudorandom textured materials, in contrast to Grover-hard unstructured cases.
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Active Transport as a Mechanism of Microphase Selection in Biomolecular Condensates
Active transport via motor-protein binding generates long-range repulsion that selects finite sizes for biomolecular condensates in a minimal diffusion-transport model.