Normal Modes of the Global Oceans—A Review

Sanchez, B. V.

doi:10.1080/01490410802265609

Cited by 20 publications

(6 citation statements)

References 50 publications

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“…The work of Platzman [1975 and 1984], Platzman et al [1981] and others, for example, have highlighted the importance of short‐period oceanic normal modes in explaining the characteristics of diurnal and especially semidiurnal tides. But over the years, research has accumulated demonstrating the existence of oceanic normal modes at somewhat longer periods (see Sanchez [2008] for a review).…”

Section: Discussionmentioning

confidence: 99%

Spectral and geographical variability in the oceanic response to atmospheric pressure fluctuations, as inferred from “dynamic barometer” Green's functions

Dey¹,

Dickman²

2010

J. Geophys. Res.

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[1] A decade ago, a novel theoretical approach was developed (Dickman, 1998) for determining the dynamic response of the oceans to atmospheric pressure variations, a response nicknamed the "dynamic barometer" (DB), and the effects of that response on Earth's rotation. This approach employed a generalized, spherical harmonic ocean tide model to compute oceanic Green's functions, the oceans' fluid dynamic response to unit-amplitude pressure forcing on various spatial and temporal scales, and then construct rotational Green's functions, representing the rotational effects of that response. When combined with the observed atmospheric pressure field, the rotational Green's functions would yield the effects of the DB on Earth's rotation. The Green's functions reflect in some way the geographical and spectral sensitivity of the oceans to atmospheric pressure forcing. We have formulated a measure of that sensitivity using a simple combination of rotational Green's functions. We find that the DB response of the oceans to atmospheric pressure forcing depends significantly on geographic location and on frequency. Compared to the inverted barometer (IB) (the traditional static model), the DB effects differ slightly at long periods but become very different at shorter periods. Among all the responses, the prograde polar motion effects are the most dynamic, with large portions of the North Atlantic and some of the North Pacific no larger than one third of IB, but most of the Southern Hemisphere oceans at least 50% greater than IB.Citation: Dey, N., and S. R. Dickman (2010), Spectral and geographical variability in the oceanic response to atmospheric pressure fluctuations, as inferred from "dynamic barometer" Green's functions,

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Section: Discussionmentioning

confidence: 99%

Spectral and geographical variability in the oceanic response to atmospheric pressure fluctuations, as inferred from “dynamic barometer” Green's functions

Dey¹,

Dickman²

2010

J. Geophys. Res.

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“…I show the resulting behavior of the mixing coefficients as a function of N for a system of identical fermions in the unitary regime in Figs. (1)(2)(3)(4). In Fig.…”

Section: B Mixing Coefficients As a Function Of Nmentioning

confidence: 98%

“…Normal modes occur in every part of the universe and at all scales from nuclear physics to cosmology. They have been used to model the behavior of a variety of physical systems including atmospheres [1], seismic activity of the earth [2], global ocean behavior [3], vibrations of crystals [4], molecules [5], and nuclei [6], functional motions of proteins, viruses and enzymes [7], the oscillation of rotating stars [8], gravitational wave response [9], black hole oscillations [10], liquids [11], ultracold trapped gases [12], and cold trapped ions for quantum information processing [13]. Reflecting the ubiquitous appearance of small vibrations in nature, normal modes couple the com-plex motion of individual interacting particles into simple collective motions in which the particles move in sync with the same frequency and phase.…”

Section: Introductionmentioning

confidence: 99%

Normal modes for N identical particles: A study of the evolution of collective behavior from few-body to many-body

Watson

2019

Preprint

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“…Normal mode behavior is ubiquitous in the universe, occuring at all scales from the vibration of crystals [17] to the oscillation of rotating stars [18]. This universal dynamic reflects the widespread appearance of vibrational motions in nature [17][18][19][20][21][22][23][24][25][26][27][28][29] which can often be coupled into the simple collective motions of normal modes. These collective motions depend on the interparticle correlations of the system and thus incorporate many-body effects into simple, dynamic motion.…”

Section: Introductionmentioning

confidence: 99%

Analytic normal mode frequencies for N identical particles: The microscopic dynamics underlying the emergence and stability of excitation gaps from BCS to unitarity

Watson

2021

Preprint

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The frequencies of the analytic normal modes for N identical particles are studied as a function of system parameters from the weakly interacting BCS regime to the strongly interacting unitary regime. The normal modes were obtained previously from a first-order L = 0 group theoretic solution of a three-dimensional Hamiltonian with a general two-body interaction for confined, identical particles. In a precursor to this study, the collective behavior of these normal modes was investigated as a function of N from few-body systems to many-body systems analyzing the contribution of individual particles to the collective macroscopic motions. A specific case, the Hamiltonian for Fermi gases in the unitary regime was studied in more detail. This regime is known to support collective behavior in the form of superfluidity and has previously been successfully described using normal modes. Two phenomena that could sustain the emergence and stability of superfluid behavior were revealed, including the behavior of the normal mode frequencies as N increases. In this paper, I focus on a more detailed analysis of these analytic frequencies, extending my investigation to include Hamiltonians with a range of interparticle interaction strengths from the BCS regime to the unitary regime and analyzing the microscopic dynamics that lead to large gaps at unitarity. The results of the current study suggest that in regimes where higher-order effects are small, normal modes can be used to describe the physics of superfluidity from the weakly interacting BCS regime with the emergence of small excitation gaps to unitarity with its large gaps, and can offer insight into a possible microscopic understanding of the behavior at unitarity. This approach could thus offer an alternative to the two-body pairing models commonly used to describe superfluidity along this transition.

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Normal Modes of the Global Oceans—A Review

Cited by 20 publications

References 50 publications

Spectral and geographical variability in the oceanic response to atmospheric pressure fluctuations, as inferred from “dynamic barometer” Green's functions

Spectral and geographical variability in the oceanic response to atmospheric pressure fluctuations, as inferred from “dynamic barometer” Green's functions

Normal modes for N identical particles: A study of the evolution of collective behavior from few-body to many-body

Analytic normal mode frequencies for N identical particles: The microscopic dynamics underlying the emergence and stability of excitation gaps from BCS to unitarity

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