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- W4287331347 abstract "Simple dynamical models can produce intricate behaviors in large networks. These behaviors can often be observed in a wide variety of physical systems captured by the network of interactions. Here we describe a phenomenon where the increase of dimensions self-consistently generates a force field due to dynamical instabilities. This can be understood as an unstable (rumbling) tunneling mechanism between minima in an effective potential. We dub this collective and nonperturbative effect a Lyapunov force which steers the system towards the global minimum of the potential function, even if the full system has a constellation of equilibrium points growing exponentially with the system size. The system we study has a simple mapping to a flow network, equivalent to current-driven memristors. The mechanism is appealing for its physical relevance in nanoscale physics, and to possible applications in optimization, novel Monte Carlo schemes and machine learning." @default.
- W4287331347 created "2022-07-25" @default.
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- W4287331347 date "2021-02-05" @default.
- W4287331347 modified "2023-10-13" @default.
- W4287331347 title "Global minimization via classical tunneling assisted by collective force field formation" @default.
- W4287331347 doi "https://doi.org/10.48550/arxiv.2102.03385" @default.
- W4287331347 hasPublicationYear "2021" @default.
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