arXiv subjects

Lucas Désoppi

Publications and source records attributed to Lucas Désoppi.

3 recordsLinked to original sources

arXiv2026

Environmental Effects and Brillouin's Paradox in Nonlinear Electrical Circuits

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 DC bias. We show how the feedback resulting from the circuit, made of an ohmic resistor and a capacitor, affects the statistics of voltage fluctuations, and in particular resolves Brillouin's paradox to satisfy thermodynamics: feedback cancels rectification. We apply our very general results to the case of a tunnel junction and a diode.

cond-mat.mes-hall↗

arXiv2025

Link between Continuous and Discrete Descriptions of Noise in Nonlinear Resistive Electrical Components

We consider the modeling of noise in a nonlinear, classical, resistive electrical component using two models: i) a continuous description based on a stochastic differential equation with a white thermal Gaussian noise; ii) a discrete, shot noise model based on a Markovian master equation. We show that thermodynamics imposes in i) the use of the Hänggi-Klimontovich (H-K) prescription when the noise depends on bias voltage, and implies a generalized Johnson-Nyquist relation for the noise where the conductance is replaced by the ratio mean current over voltage. In ii) we show that the discrete description compatible with thermodynamics leads to the continuous one of i) with again the H-K prescription. Here the generalized Johnson-Nyquist relation for noise is recovered only at low voltage, when the continuous description is valid.

cond-mat.mes-hall↗

arXiv2024

Functional Renormalization Group for fermions on a one dimensional lattice at arbitrary filling

A formalism based on the fermionic functional-renormalization-group approach to interacting electron models defined on a lattice is presented. One-loop flow equations for the coupling constants and susceptibilities in the particle-particle and particle-hole channels are derived in weak-coupling conditions. It is shown that lattice effects manifest themselves through the curvature of the spectrum and the dependence of the coupling constants on momenta. This method is then applied to the one-dimensional extended Hubbard model; we thoroughly discuss the evolution of the phase diagram, and in particular the fate of the bond-centered charge-density-wave phase, as the system is doped away from half-filling. Our findings are compared to the predictions of the field-theory continuum limit and available numerical results.

cond-mat.str-el↗