Brownian ratchets and pumps can universally approximate any local active dynamics in spin systems by harnessing heat currents or periodic driving.
Wolfram, Statistical mechanics of cellular automata, Rev
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Introduces non-uniform cellular automata via lattice embedding to enable models on hyperbolic lattices for quantum many-body and percolation physics.
Classical probabilistic transport equations are reformulated as quantum systems whose wave function obeys Schrödinger evolution and whose observables include non-commuting operators for statistical quantities.
citing papers explorer
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Brownian ratchets and pumps universally simulate many-body active dynamics
Brownian ratchets and pumps can universally approximate any local active dynamics in spin systems by harnessing heat currents or periodic driving.
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Universal Design and Physical Applications of Non-Uniform Cellular Automata on Translationally Invariant Lattices
Introduces non-uniform cellular automata via lattice embedding to enable models on hyperbolic lattices for quantum many-body and percolation physics.
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Quantum mechanics for classical transport equations
Classical probabilistic transport equations are reformulated as quantum systems whose wave function obeys Schrödinger evolution and whose observables include non-commuting operators for statistical quantities.