The Stochastic Guitar

Fuente: arXiv
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Auteurs principaux: Eggenberger, Andreas, Eichler, Alexander
Format: Preprint
Publié: 2024
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author Eggenberger, Andreas
Eichler, Alexander
author_facet Eggenberger, Andreas
Eichler, Alexander
contents Stochastic physics is a central pillar of modern research in many fields, but is rarely presented to undergrad students in a hands-on experiment. Here, we demonstrate how a human-scale, simple, and affordable experimental setup can be used to fill this gap, and to illustrate many advanced concepts in a step-by-step approach. Based on a metal wire (such as a guitar string), our setup facilitates the observation of fluctuating dynamics in the time domain, the frequency spectrum, and in the rotating phase space. The latter allows introducing time-dependent cross-correlations between the sine and cosine quadratures of the stochastic motion, which feature deterministic order even in the absence of any deterministic forces.
format Preprint
id arxiv_https___arxiv_org_abs_2404_04045
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The Stochastic Guitar
Eggenberger, Andreas
Eichler, Alexander
Classical Physics
Stochastic physics is a central pillar of modern research in many fields, but is rarely presented to undergrad students in a hands-on experiment. Here, we demonstrate how a human-scale, simple, and affordable experimental setup can be used to fill this gap, and to illustrate many advanced concepts in a step-by-step approach. Based on a metal wire (such as a guitar string), our setup facilitates the observation of fluctuating dynamics in the time domain, the frequency spectrum, and in the rotating phase space. The latter allows introducing time-dependent cross-correlations between the sine and cosine quadratures of the stochastic motion, which feature deterministic order even in the absence of any deterministic forces.
title The Stochastic Guitar
topic Classical Physics
url https://arxiv.org/abs/2404.04045