Topology clusters states around the steady-state in stochastic systems but moves them away from zero-energy in quantum systems, while non-reciprocity does the reverse, and a unique topologically emerging state appears only in stochastic models.
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In non-reciprocal active solids, increasing microscopic activity causes macroscale active response to vanish due to non-affine localized modes that prevail in any dilute periodic structure and in random lattices below percolation.
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The unique control features of topological stochastic and quantum systems
Topology clusters states around the steady-state in stochastic systems but moves them away from zero-energy in quantum systems, while non-reciprocity does the reverse, and a unique topologically emerging state appears only in stochastic models.
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More is less in unpercolated active solids
In non-reciprocal active solids, increasing microscopic activity causes macroscale active response to vanish due to non-affine localized modes that prevail in any dilute periodic structure and in random lattices below percolation.