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.
Physics of active emulsions
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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.
A pedagogical review of hydrodynamic and dynamic RG approaches to nonequilibrium universality classes uncovered since 2015 in active and living matter.
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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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Hydrodynamics, Renormalization Group, and Universality Classes Far from Equilibrium
A pedagogical review of hydrodynamic and dynamic RG approaches to nonequilibrium universality classes uncovered since 2015 in active and living matter.