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Multiple-Scale Analyses of Forced, Nonlinear Waves : = Graphene Hydrodynamics and Surface Water Waves.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Multiple-Scale Analyses of Forced, Nonlinear Waves :/
其他題名:	Graphene Hydrodynamics and Surface Water Waves.
作者:	Zdyrski, Thomas John.
面頁冊數:	1 online resource (187 pages)
附註:	Source: Dissertations Abstracts International, Volume: 83-02, Section: B.
Contained By:	Dissertations Abstracts International83-02B.
標題:	Physics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28418929click for full text (PQDT)
ISBN:	9798516960543

Multiple-Scale Analyses of Forced, Nonlinear Waves : = Graphene Hydrodynamics and Surface Water Waves.
Zdyrski, Thomas John.

Multiple-Scale Analyses of Forced, Nonlinear Waves :Graphene Hydrodynamics and Surface Water Waves. - 1 online resource (187 pages)

Source: Dissertations Abstracts International, Volume: 83-02, Section: B.

Thesis (Ph.D.)--University of California, San Diego, 2021.

Includes bibliographical references

Nonlinear interactions in physical systems make analyzing the dynamics challenging. Multiple-scale analyses are asymptotic perturbation techniques useful for analyzing nonlinear systems that possess scale-separation between the relevant physical scales. Graphene is a two-dimensional lattice of carbon atoms which exhibits many unique electrical properties, such as a viscous, hydrodynamic regime where the electrons become strongly interacting. We consider both the Dirac fluid and Fermi liquid regimes in gated graphene, and we investigate the one-dimensional propagation of electronic solitons. By leveraging the scale-separation between the wave-propagation time scale and nonlinear-interaction time scale, we utilize a multiple-scale analysis to derive a Korteweg-de Vries (KdV)-Burgers equation governing the wave's evolution. We numerically solve the KdV-Burgers equation and analyze the viscous decay and entropy production. Finally, we propose experimental realizations of these effects to measure the shear viscosity of graphene.Surface water waves also possess nonlinear interactions and permit nonlinear, periodic waves of permanent form known as Stokes waves in intermediate- and deep-water. Wind forcing causes wave growth and decay, but it can also influence wave shape. To study the effect of wind on the shape of these nonlinear Stokes waves, we again utilize scale-separation between the wave-propagation time scale and the nonlinear-interaction time scale. We then analytically solve the resulting system for three different wind-induced surface pressure profiles (Jeffreys, Miles, and generalized Miles) to calculate the wind-induced changes to the wave's shape statistics, growth rate, and phase speed. These results are constrained by existing large eddy simulations and are consistent with prior laboratory experiments.Shallow water supports surface waves known as solitary waves that balance nonlinearity and dispersion. By applying the same Jeffreys-type surface pressure forcing, we analyze the effect of wind on shallow-water wave shape. Another multiple-scale analysis yields a KdV-Burgers equation for the wave's profile, and we solve this numerically to investigate the wave's skewness and asymmetry resulting from the solitary waves's wind-induced, bound, dispersive tail. Extending this analysis to a planar, sloping bathymetry instead yields a variable-coefficient KdV-Burgers equation. Numerically solving this equation reveals the interaction of wind-forcing and shoaling on wave growth, width change, and rear-shelf generation.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2023

Mode of access: World Wide Web

ISBN: 9798516960543Subjects--Topical Terms:

516296
Physics.
Subjects--Index Terms:

Air/sea interactionsIndex Terms--Genre/Form:

542853
Electronic books.

Multiple-Scale Analyses of Forced, Nonlinear Waves : = Graphene Hydrodynamics and Surface Water Waves.
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500 $a Source: Dissertations Abstracts International, Volume: 83-02, Section: B.
500 $a Advisor: Feddersen, Falk; McGreevy, John.
502 $a Thesis (Ph.D.)--University of California, San Diego, 2021.
504 $a Includes bibliographical references
520 $a Nonlinear interactions in physical systems make analyzing the dynamics challenging. Multiple-scale analyses are asymptotic perturbation techniques useful for analyzing nonlinear systems that possess scale-separation between the relevant physical scales. Graphene is a two-dimensional lattice of carbon atoms which exhibits many unique electrical properties, such as a viscous, hydrodynamic regime where the electrons become strongly interacting. We consider both the Dirac fluid and Fermi liquid regimes in gated graphene, and we investigate the one-dimensional propagation of electronic solitons. By leveraging the scale-separation between the wave-propagation time scale and nonlinear-interaction time scale, we utilize a multiple-scale analysis to derive a Korteweg-de Vries (KdV)-Burgers equation governing the wave's evolution. We numerically solve the KdV-Burgers equation and analyze the viscous decay and entropy production. Finally, we propose experimental realizations of these effects to measure the shear viscosity of graphene.Surface water waves also possess nonlinear interactions and permit nonlinear, periodic waves of permanent form known as Stokes waves in intermediate- and deep-water. Wind forcing causes wave growth and decay, but it can also influence wave shape. To study the effect of wind on the shape of these nonlinear Stokes waves, we again utilize scale-separation between the wave-propagation time scale and the nonlinear-interaction time scale. We then analytically solve the resulting system for three different wind-induced surface pressure profiles (Jeffreys, Miles, and generalized Miles) to calculate the wind-induced changes to the wave's shape statistics, growth rate, and phase speed. These results are constrained by existing large eddy simulations and are consistent with prior laboratory experiments.Shallow water supports surface waves known as solitary waves that balance nonlinearity and dispersion. By applying the same Jeffreys-type surface pressure forcing, we analyze the effect of wind on shallow-water wave shape. Another multiple-scale analysis yields a KdV-Burgers equation for the wave's profile, and we solve this numerically to investigate the wave's skewness and asymmetry resulting from the solitary waves's wind-induced, bound, dispersive tail. Extending this analysis to a planar, sloping bathymetry instead yields a variable-coefficient KdV-Burgers equation. Numerically solving this equation reveals the interaction of wind-forcing and shoaling on wave growth, width change, and rear-shelf generation.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2023
538 $a Mode of access: World Wide Web
650 4 $a Physics. $3 516296
650 4 $a Physical oceanography. $3 3168433
650 4 $a Condensed matter physics. $3 3173567
650 4 $a Laboratories. $3 531588
650 4 $a Velocity. $3 3560495
650 4 $a Graphene. $3 1569149
650 4 $a Gravity waves. $3 603234
650 4 $a Bathymetry. $3 3687623
653 $a Air/sea interactions
653 $a Electron hydrodynamics
653 $a Korteweg-de Vries
653 $a Multiple-scale analysis
653 $a Nonlinear waves
653 $a Surface gravity waves
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690 $a 0415
690 $a 0611
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710 2 $a University of California, San Diego. $b Physics. $3 1035951
773 0 $t Dissertations Abstracts International $g 83-02B.
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