Proxitaxis is a proximity-based adaptive search strategy with stochastic resetting and dynamic reset updates that analytically maximizes capture probability and exhibits multiple phase transitions in control parameters in all dimensions.
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Alternating diffusivity with power-law sojourns yields stretched-exponential short-time relaxation and power-law long-time decay with exponential cutoff, consistent with simulations.
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Proxitaxis: an adaptive search strategy based on proximity and stochastic resetting
Proxitaxis is a proximity-based adaptive search strategy with stochastic resetting and dynamic reset updates that analytically maximizes capture probability and exhibits multiple phase transitions in control parameters in all dimensions.
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Brownian motion with alternately fluctuating diffusivity: Stretched-exponential and power-law relaxation
Alternating diffusivity with power-law sojourns yields stretched-exponential short-time relaxation and power-law long-time decay with exponential cutoff, consistent with simulations.