Stochastic Theory of Environmental Effects in Nonlinear Electrical Circuits
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866912992643252224 |
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| author | Désoppi, Lucas Reulet, Bertrand |
| author_facet | Désoppi, Lucas Reulet, Bertrand |
| contents | We present a stochastic approach to calculate the full statistics of classical voltage fluctuations across an arbitrary, nonlinear, dissipative device embedded in a circuit in the presence of a bias. We show how the feedback resulting from the circuit, made of an ohmic resistor and a capacitor, affects the cumulants of the voltage, and in particular resolves Brillouin's paradox to satisfy thermodynamics. We apply our results to the case of a tunnel junction and a diode. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29949 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stochastic Theory of Environmental Effects in Nonlinear Electrical Circuits Désoppi, Lucas Reulet, Bertrand Mesoscale and Nanoscale Physics We present a stochastic approach to calculate the full statistics of classical voltage fluctuations across an arbitrary, nonlinear, dissipative device embedded in a circuit in the presence of a bias. We show how the feedback resulting from the circuit, made of an ohmic resistor and a capacitor, affects the cumulants of the voltage, and in particular resolves Brillouin's paradox to satisfy thermodynamics. We apply our results to the case of a tunnel junction and a diode. |
| title | Stochastic Theory of Environmental Effects in Nonlinear Electrical Circuits |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2603.29949 |