In the infinite-path limit of a Brownian computation model with backward branching factor α, the reset current Fano factor transitions from noiseless to Poissonian exactly at affinity ln α, marking the thermodynamic cost of logical irreversibility.
Bryant, The algebra and topology of electrical net- works, Proceedings of the IEE - Part C: Monographs108, 215 (1961)
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Network analysis for steady-state current fluctuations under finite affinity: Application to Brownian computation
In the infinite-path limit of a Brownian computation model with backward branching factor α, the reset current Fano factor transitions from noiseless to Poissonian exactly at affinity ln α, marking the thermodynamic cost of logical irreversibility.