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arXiv · 2012.04033

Susceptibility of quasiclassical Brownian motion in harmonic nonlinear potentials

Pedro J. Colmenares
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Abstract

This work sets the exact equations for the quasiclassical response function and susceptibility of a Brownian particle immersed in a bath of quantum harmonic oscillators driving by nonlinear harmonic potentials. A delta force perturbation gives rise to a response whose susceptibility is the combination of a linear term, own of the harmonic oscillator, plus a nonlinear one involving an integral \textcolor{black}{equation. It is provided a recursion method to find its solutions based on functional equations in the Banach space.} The ODE for the response function is a highly nonlinear damped non-autonomous Duffing equation for which the aforementioned method is used to get its solution.

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Pedro J. Colmenares. 2020-12-07. Susceptibility of quasiclassical Brownian motion in harmonic nonlinear potentials. https://doi.org/10.1103/physreve.102.062102

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