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.
Symmetry, Thermodynamics, and Topology in Active Matter
4 Pith papers cite this work, alongside 155 external citations. Polarity classification is still indexing.
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cond-mat.soft 4years
2026 4representative citing papers
Chiral order in 2D nonreciprocal flocks is generically unstable and destroyed by defect proliferation, yielding spatiotemporally chaotic dynamics with a diverging correlation length as nonreciprocity vanishes.
Active nematic membranes show a continuous defect binding-unbinding transition to turbulence when activity exceeds a threshold scaling as alpha squared over bending stiffness, with persistent order-shape correlations.
A geometric field theory unifies topology, intrinsic/extrinsic geometry, solitons, defect orientations, and elastic anisotropy in 2D nematics, showing that gauge non-invariance induces non-linear many-body defect interactions.
citing papers explorer
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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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Breakdown of Emergent Chiral Order and Defect Chaos in Nonreciprocal Flocks
Chiral order in 2D nonreciprocal flocks is generically unstable and destroyed by defect proliferation, yielding spatiotemporally chaotic dynamics with a diverging correlation length as nonreciprocity vanishes.
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Defect binding-unbinding transition in active nematic membranes
Active nematic membranes show a continuous defect binding-unbinding transition to turbulence when activity exceeds a threshold scaling as alpha squared over bending stiffness, with persistent order-shape correlations.
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Defect Kinematics in 2D Nematics: Contributions from Surface Topology, Intrinsic and Extrinsic Geometry, Solitons, Defect Orientations, and Elastic Anisotropy
A geometric field theory unifies topology, intrinsic/extrinsic geometry, solitons, defect orientations, and elastic anisotropy in 2D nematics, showing that gauge non-invariance induces non-linear many-body defect interactions.