تقرير
Destructive effect of fluctuations on the performance of a Brownian gyrator
| العنوان: | Destructive effect of fluctuations on the performance of a Brownian gyrator |
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| المؤلفون: | Viot, Pascal, Argun, Aykut, Volpe, Giovanni, Imparato, Alberto, Rondoni, Lamberto, Oshanin, Gleb |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics |
| الوصف: | The Brownian gyrator (BG) is a minimal model of a nano-engine performing a rotational motion, judging solely upon the fact that in non-equilibrium conditions its torque, angular momentum ${\cal L}$ and angular velocity $\cal W$ have non-zero mean values. For a time-discretized model, we calculate the previously unknown probability density functions (PDFs) of ${\cal L}$ and $\cal W$. We find that when the time-step $\delta t \to 0$, both PDFs converge to uniform distributions with diverging variances. For finite $\delta t$, the PDF of ${\cal L}$ has exponential tails and all moments, but its noise-to-signal ratio is generically much bigger than $1$. The PDF of ${\cal W}$ exhibits heavy power-law tails and its mean ${\cal W}$ is the only existing moment. The BG is therefore not an engine in common sense: it does not exhibit regular rotations on each run and its fluctuations are not only a minor nuisance. Our theoretical predictions are confirmed by numerical simulations and experimental data. We discuss some improvements of the model which may result in a more systematic behavior. Comment: 5 pages +SM 11 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2307.05248 |
| رقم الأكسشن: | edsarx.2307.05248 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |