ArticleProceedings of the National Academy of Sciences of the United States of America2020
Nonreciprocity as a generic route to traveling states.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 33 papers.
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33 citing papers in PubMed.
- Cooperation in binary mixtures of active colloids.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- What is active wetting?The European physical journal. E, Soft matter · 2026Review
- Controlling the synchronization and symmetry breaking of coupled bacterial pili on active biofilm carpets.eLife · 2026Article
- Unusual impulse-momentum relationship in non-reciprocal light interactions.Light, science & applications · 2026Article
- Programmable double traveling waves in living liquid crystals.Nature communications · 2025Article
- Anomalous grain dynamics and grain locomotion of odd crystals.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Nonreciprocal field theory for decision-making in multi-agent control systems.Nature communications · 2025Article
- Photoinduced non-reciprocal magnetism.Nature communications · 2025Article
- Sociohydrodynamics: Data-driven modeling of social behavior.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Sticky enzymes: increased metabolic efficiency via substrate-dependent enzyme clustering.PRX life · 2025Article
- Self-generated chemotaxis of mixed cell populations.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Effervescence in a binary mixture with nonlinear non-reciprocal interactions.Nature communications · 2025Article
- Technology Roadmap of Micro/Nanorobots.ACS nano · 2025Review
- Dynamical patterns and nonreciprocal effective interactions in an active-passive mixture through exact hydrodynamic analysis.Nature communications · 2025Article
- Emergent collective behavior of cohesive, aligning particles.The European physical journal. E, Soft matter · 2025Article
- Melting of nonreciprocal solids: How dislocations propel and fission in flowing crystals.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- The 2025 motile active matter roadmap.Journal of physics. Condensed matter : an Institute of Physics journal · 2025Review
- A hitchhiker's guide to active motion.The European physical journal. E, Soft matter · 2025Article
- Emergent polar order in nonpolar mixtures with nonreciprocal interactions.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Nonreciprocity and odd viscosity in chiral active fluids.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
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3 authors.
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Abstract
We examine a nonreciprocally coupled dynamical model of a mixture of two diffusing species. We demonstrate that nonreciprocity, which is encoded in the model via antagonistic cross-diffusivities, provides a generic mechanism for the emergence of traveling patterns in purely diffusive systems with conservative dynamics. In the absence of nonreciprocity, the binary fluid mixture undergoes a phase transition from a homogeneous mixed state to a demixed state with spatially separated regions rich in one of the two components. Above a critical value of the parameter tuning nonreciprocity, the static demixed pattern acquires a finite velocity, resulting in a state that breaks both spatial and time-reversal symmetry, as well as the reflection parity of the static pattern. We elucidate the generic nature of the transition to traveling patterns using a minimal model that can be studied analytically. Our work has direct relevance to nonequilibrium assembly in mixtures of chemically interacting colloids that are known to exhibit nonreciprocal effective interactions, as well as to mixtures of active and passive agents where traveling states of the type predicted here have been observed in simulations. It also provides insight on transitions to traveling and oscillatory states seen in a broad range of nonreciprocal systems with nonconservative dynamics, from reaction-diffusion and prey-predators models to multispecies mixtures of microorganisms with antagonistic interactions.
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