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Saturday, August 1, 2020 | History

3 edition of Sound attenuation and dispersion in a liquid-gas system near the critical point found in the catalog.

Sound attenuation and dispersion in a liquid-gas system near the critical point

Nolan, Michael J.

Sound attenuation and dispersion in a liquid-gas system near the critical point

renormalization group analysis

by Nolan, Michael J.

  • 381 Want to read
  • 1 Currently reading

Published by Physical Review B in [New York] .
Written in English


Edition Notes

Statementby Michael J. Nolan.
Classifications
LC ClassificationsMicrofilm 80515 (Q)
The Physical Object
FormatMicroform
Paginationp. 6334-6347
Number of Pages6347
ID Numbers
Open LibraryOL3228987M
LC Control Number83140881

  The dispersion was accompanied by an abnormally high attenuation of the sound wave confirming in this respect the previously observed behavior of other systems near their critical point. From an analysis of the dispersion measurements it is concluded that structural relaxation processes play a dominant role in the mechanical behavior of the system. SilentFX® QuickCut™ noise-reducing drywall features a viscoelastic polymer between two specially formulated dense gypsum cores significantly improves sound attenuation and is ideal for systems requiring high STC performance.

The results describe finite-size effects near the critical point in the h– T-plane including the first-order transition at the coexistence line at h = 0 below T c. Quantitative theoretical predictions of the finite-size scaling function are presented for the Ising (n=1), XY(n=2) and Heisenberg (n=3) models. Sound Attenuation due to a Barrier using ISO (up to m) Sound waves are reduced by a barrier depending upon the frequency of the sound wave with lower frequencies less affected. The greater the path difference, the more effective the barrier is.

  Kawasaki K () Sound attenuation and dispersion near the liquid-gas critical point. Phys Rev A CrossRef Google Scholar. Kevorkian J, Cole JD () Perturbation methods in applied mathematics. Quentrec B () A new analysis of sound propagation near the critical point of xenon. Buy this book on publisher's site; Reprints. Book Search tips Selecting this option will search all publications across the Scitation platform Selecting this option will search all publications for the Publisher/Society in context. Auditory system “The attenuation and dispersion of sound in water containing .


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Sound attenuation and dispersion in a liquid-gas system near the critical point by Nolan, Michael J. Download PDF EPUB FB2

Attenuation and Dispersion of Sound Near the Liquid-Gas Critical Point Article in EPL (Europhysics Letters) 4(11) July with 7 Reads How we measure 'reads'.

Volume 80A, number 1 PHYSICS LETTERS 10 November RENORMALIZATION GROUP CALCULATION OF SOUND AUENUATION AND DISPERSION NEAR THE LIQUIDAS CRITICAL POINT D.M.

KROLL and J.M. RUHLAND Sektion Physik der Universitdt Mtmnchen, Munich, West Germany Received 5 August A model for sound propagation at the liquidas transition is Cited by:   We describe sound velocity and acoustic attenuation measurements at several frequencies between and 5 MHz along the critical isochore of 4 He immediately above the critical point T c.

The dispersion is obtained with respect to the velocity measurements by Barmatz taken at kHz along the critical isochore. The dispersion and attenuation results are analyzed following Cited by:   We generalize the usual hydrodynamic equations of motion to include mode-coupling terms and a Landau-Ginzburg free energy.

We perform a renormalization-group analysis of these equations which includes a mode-coupling term between the longitudinal current fluctuations and the order-parameter entropy density. Coupling to the pressure fluctuations is also included by a speed-of-sound Cited by: 4. Sound attenuation coefficient is calculated for a spin-1 Ising system on the basis of Onsager theory of irreversible processes and its behaviour near the second-order phase transition point or the.

Abstract. We calculate the singular part of the sound attenuation and dispersion near the liquid-gas critical point on the critical isochore above T is shown that the corresponding scaling function is related to the correlation function of two composite operators of the Halperin-Hohenberg-Siggia model H.

1 Using the renormalization group (RG) and ∊-expansion we obtain this. A model for sound propagation at the liquid-gas transition is studied using renormalization group and ∊-expansion methods.

Scaling functions for the critical attenuation and dispersion are derived to O(∊) which are in good agreement with experiment. Relationship between the two existing approaches to the sound attenuation and dispersion is discussed in detail for a fluid near the liquid-gas critical point.

The statistical-mechanical definition of the frequency-dependent specific heat is given and the relaxation times entering one approach are related to those appearing in another approach. Recent theories are discussed in the light of the.

Kawasaki, “Sound Attenuation and Dispersion near the Liquid-Gas Critical Point,” Physical Review A, vol. 1, pp. –, View at: Google Scholar; Y. Shiwa and K. Kawasaki, “The Mode-Coupling Approach to Sound Propagation in a Critical Fluid.

We calculate the singular part of the sound attenuation and dispersion near the liquid-gas critical point on the critical isochore above Tc. It is shown that the corresponding scaling function is r.

Acoustic theory for heterogeneous system should yield a relationship between some measured macroscopic acoustic properties, such as sound speed, attenuation, acoustic impedance, angular dependence of the scattered sound, etc., and some microscopic characteristics of the heterogeneous system, such as its composition, structure, electric surface properties, particle size distribution, etc.

Using the lowest approximation of the cluster variation method and Onsager theory, calculations of the sound attenuation (α) near the critical point in a spin-1 Ising model were performed at. The dispersion relation of sound near the liquid-gas critical point is derived from coupled Langevin equations for a complete set of hydrodynamic variables.

We calculate sound attenuation and. Discussion is concentrated on anomalies observed near the liquid–gas critical point.

These are: (1) peculiarities in sound velocity and attenuation revealed in the close vicinity of the critical point, which can be attributed to an effect of fluctuation-induced forces in a. Some other works which may have less connection with this work but worth mentioning are as follows: The SA and dispersion in a liquid-gas system near the critical point, the critical sound propagation in anisotropic magnets above their transition temperature, the rise in ultrasonic attenuation as the material approaches to its magnetic.

The heat transfer near the critical point is governed not only by diffusion, convection, and radiation, but also by a thermomechanical coupling called the Piston Effect.

This fourth mode of heat transfer is responsible for the so-called critical speeding up, which contradicts the first expectation of a critical slowing down of the heat diffusion. So far, the viscosity has been neglected in all.

In a few words, the observed scaling of Fig. is modeled by using a simple relation between acoustic loss and generalized density of states, proposing the use of the Cauchy-like model for deriving the shear modulus from the bulk one. This approach, independent of any theoretical consideration of the microscopic origin of the acoustic attenuation, holds in an astonishingly wide frequency.

The simple fluid systems can be studied by using the ultrasonic pressure amplitude attenuation per wavelength ()or absorption coefficient and the sound velocity (), mainly when absorption coefficient of ultrasound near critical point is being observed It was found that there is an increase in this absorption and loss of energy from the sound.

small-angle scattering of x-rays from carbon dioxide in vicinity of its critical point. physical review a 1 (6): & kawasaki k sound attenuation and dispersion near liquid-gas critical point. physical review letters 25 (17): & henry dl; swinney hl; cummins hz rayleigh linewidth in xenon near critical point.

An investigation has been made on the propagation of ultrasonic waves (at kc) through the critical solution temperature of two binary liquid systems; (1) aniline and n‐hexane and (2) triethylamine and water.

Results are given for the variation of the velocity with temperature. The behavior of the sound attenuation through the critical point is also shown. If you locate your sound attenuators in a low velocity area — like a plenum — there may be very little real difference between the total pressure loss of either model, but you would still get a higher sound attenuation from a model SA.

Our sound attenuators have been tested in an independent testing laboratory and in accordance with ASTM.collated a number of hypothetical attenuation-dispersion pairs that have been proposed by various authors in efforts to model the characteristic attenuation in granular materials.

For a number of years, Hamilton22,23 has taken an em-pirical approach to modeling the geoacoustic properties of marine sediments.

From a practical point of view, he.Marshall Long, in Architectural Acoustics (Second Edition), Abstract. Sound attenuation provided through a duct system is the focus of Chap starting with a discussion of the theory of propagation in ducts with losses and then a focus on lined rectangular ducts.

The chapter moves on to unlined rectangular, and then lined and unlined circular, and finally flexible ducts.