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Classical and quantum stochastic models of resistive and memristive circuits
2017
Journal of Mathematical Physics
The purpose of this paper is to examine stochastic Markovian models for circuits in phase space for which the drift term is equivalent to the standard circuit equations. In particular, we include dissipative components corresponding to both a resistor and a memristor in series. We obtain a dilation of the problem which is canonical in the sense that the underlying Poisson bracket structure is preserved under the stochastic flow. We do this first of all for standard Wiener noise but also treat
doi:10.1063/1.4995392
fatcat:kkz3j4wgind53n3u4qq5eowwcy