A new coarse-graining framework derives effective metacommunity models from microscopic individual dynamics on networks, proving that heterogeneous habitats support stable coexistence only above a critical heterogeneity threshold.
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For n-component conserved fields with nonlinear non-reciprocal coupling, one-loop RG shows that n ≥ 4 yields a fixed point with emergent detailed balance and fewer independent exponents due to conservation.
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Habitat heterogeneity and dispersal network structure as drivers of metacommunity dynamics
A new coarse-graining framework derives effective metacommunity models from microscopic individual dynamics on networks, proving that heterogeneous habitats support stable coexistence only above a critical heterogeneity threshold.
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Critical Dynamics of Non-Reciprocally Coupled Conserved Systems
For n-component conserved fields with nonlinear non-reciprocal coupling, one-loop RG shows that n ≥ 4 yields a fixed point with emergent detailed balance and fewer independent exponents due to conservation.