Oscillations, Waves, and Interactions - GWDG

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366 R. Pottel, J. Haller and U. Kaatze Copyright notice: Figure 2 reused from Ref. [43]; Fig. 3 reused with permission from Ref. [48], Figs. 12 and 13 reused from Ref. [20], Copyright 1987 Elsevier; Fig. 18 reused with permission from Ref. [22], Copyright 1987 American Chemical Society; Fig. 20 reused from Ref. [23], Copyright 1987 Elsevier.
Oscillations, Waves and Interactions, pp. 367–404 edited by T. Kurz, U. Parlitz, and U. Kaatze Universitätsverlag Göttingen (2007) ISBN 978–3–938616–96–3 urn:nbn:de:gbv:7-verlag-1-14-1 Liquids: Formation of complexes and complex dynamics Udo Kaatze 1 and Ralph Behrends 2 1 Drittes Physikalisches Institut, Georg-August-Universität Göttingen Friedrich-Hund-Platz 1, 37077 Göttingen, Germany 2 Fakultät für Physik, Georg-August-Universität Göttingen Friedrich-Hund-Platz 1, 37077 Göttingen, Germany Abstract. Acoustical relaxation spectra, measured in the frequency range between roughly 10 4 and 5·10 9 Hz, are discussed in view of the formation of mesoscopic molecular structures, like small complexes, stacks, and micelles, as well as of microheterogeneous liquid structures, as characteristic for noncritical and critical concentration fluctuations in binary systems. A variety of results is presented to show the capability of the method. An extended version of the model of micelle formation/decay kinetics is given that accounts for the special features of surfactant solutions near their critical micelle concentration. Also a unifying model of noncritical concentration fluctuations, that includes all previous theories, is shown to favourably apply the experimental findings. Evidence is presented indicating the need for a comprehensive theoretical treatment of systems revealing both, critical micelle formation and critical demixing properties. 1 Introduction Liquids owe their fascinating and diverse features to molecular interaction energies on the order of the thermal energy. Thermal motions thus prevent liquids from establishing long-range order. Additionally, short-range order fluctuates rapidly. Let us consider water, the omnipresent chemical on our planet, as an example. Water is among the associating liquids. As the water molecule is capable of forming four hydrogen bonds, liquid water establishes a percolating three-dimensional hydrogen bond network. Due to thermal agitation a single hydrogen bond fluctuates with correlation time on the order of 0.1 to 1 ps [1]. Even the dielectric relaxation time of water, which reflects the period required for the reorientation of the dipolar molecules through a significant angle [2], is as small as 10 ps at room temperature [3]. Hence liquids are characterized by the rapid fluctuations of their short-range order. In order to understand liquid properties we need to investigate their molecular motions. In addition to the establishment of the hydrogen bond network, mesoscopic molcular structures may be formed in aqueous solutions and in mixtures of water with other constituents. The knowledge of such structures and of their formation and decay processes is most important for our understanding of self-organization in liquids
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Thomas Kurz, Ulrich Parlitz, and Ud
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erschienen im Universitätsverlag G
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Bibliographische Information der De
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iv Contents Laser speckle metrology
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Oscillations, Waves and Interaction
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Applied physics at the “Dritte”
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noise component [GNE] 5 4 3 2 1 can
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3.4 Transfer to running speech Spee
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3.4.2 Analysis of running speech Sp
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Speech research 33 Area [Pixels] 60
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Speech research 35 [13] D. Michaeli
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74 D. Ronneberger et al. Mechel fou
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76 D. Ronneberger et al. (flow velo
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78 D. Ronneberger et al. |t + acous
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80 D. Ronneberger et al. Figure 6.
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82 D. Ronneberger et al. Figure 8.
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84 D. Ronneberger et al. (flow velo
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96 D. Ronneberger et al. powers of
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98 D. Ronneberger et al. an increas
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100 D. Ronneberger et al. The term
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102 D. Ronneberger et al. Neverthel
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104 D. Ronneberger et al. [4] J. Br
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106 D. Ronneberger et al. strömung
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108 D. Guicking synchronised tuning
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110 D. Guicking primary noise micro
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112 D. Guicking primary sensor desi
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114 D. Guicking by an antiphase sou
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116 D. Guicking R L C C + + 1 1−C
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118 D. Guicking More involved than
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120 D. Guicking In the 1980s, longi
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122 D. Guicking with electrodynamic
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124 D. Guicking 3.6 Noise reduction
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126 D. Guicking the turbulence of a
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128 D. Guicking References [1] Lord
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130 D. Guicking [44] Falcke, H.,
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132 D. Guicking [84] J. Melcher,
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134 D. Guicking [125] D. Heyland et
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136 D. Guicking [166] S. Zommer et
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138 D. Guicking [212] M. L. Post an
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140 W. Lauterborn et al. liquid κ
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142 W. Lauterborn et al. Figure 2.
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144 W. Lauterborn et al. nator, and
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146 W. Lauterborn et al. by types a
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148 W. Lauterborn et al. bubble rad
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154 W. Lauterborn et al. P koll [kb
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158 W. Lauterborn et al. laser puls
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168 W. Lauterborn et al. R [µ m] 1
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170 W. Lauterborn et al. [17] M. P.
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172 R. Mettin (a) (b) Figure 1. Bub
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174 R. Mettin 0 ms 2 mm 1 ms 2 ms 3
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176 R. Mettin important quantity ch
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178 R. Mettin 100 kPa 200 kPa | | F
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180 R. Mettin Figure 7. Trapped sin
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182 R. Mettin concentration of spec
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184 R. Mettin which is called the p
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186 R. Mettin R 02 [µm] R 02 [µm]
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188 R. Mettin constant to M a = 2π
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190 R. Mettin (a) p a [Pa] 140 120
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192 R. Mettin z [mm] 5 4 3 2 1 0 -1
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194 R. Mettin Figure 17. Left: Expe
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196 R. Mettin - a hot microlaborato
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198 R. Mettin [52] R. Mettin, C.-D.
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200 W. Eisenmenger and U. Kaatze Th
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260 K. D. Hinsch Generally, any of
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262 K. D. Hinsch Figure 1. Monitori
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264 K. D. Hinsch Figure 3. ESPI stu
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266 K. D. Hinsch Figure 4. Deterior
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268 K. D. Hinsch Often, in-plane mo
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270 K. D. Hinsch Figure 7. Optical
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272 K. D. Hinsch Figure 9. Humidity
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276 K. D. Hinsch Figure 13. Map of
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278 K. D. Hinsch References [1] D.
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280 Schreiber not moving along with
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282 Schreiber These properties made
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284 Schreiber Figure 3. The G ring
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286 Schreiber Rotation Rate [rad/s]
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288 Schreiber and it is currently b
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290 Schreiber n1 D A B n Figure 8.
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292 Schreiber Beamwalk [µm] 80.0 7
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294 Schreiber ∆ Perimeter [*10e12
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296 Schreiber and the last term acc
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298 Schreiber Δf [µHz] 100 50 0 -
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300 Schreiber formation of a new wo
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302 Schreiber PSD [*10 16 (rad/s) 2
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304 Schreiber 7.2 The ring laser co
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306 Schreiber Demodulator Signal [V
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308 Schreiber Est. Phase Vel. (m/s)
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310 Schreiber [18] V. Frede and V.
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312 Martin Dressel tice is reduced
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314 Martin Dressel Metallic whisker
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416 U. Parlitz P 1 P 2 P 3 S P 1 P
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418 U. Parlitz Figure 9. Correlatio
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420 U. Parlitz series” where for
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422 U. Parlitz current state future
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424 U. Parlitz tion [69] of two uni
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426 U. Parlitz LD1 LD2 M BS1 BS2 OD
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428 U. Parlitz with a clear tendenc
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430 U. Parlitz (a) y (c) y 40 20 È
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432 U. Parlitz [29] P. Grassberger,
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434 U. Parlitz [76] H. D. I. Abarba
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436 S. Lakämper and C. F. Schmidt
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462 Index basin of attraction, 144
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464 Index cone bubble structure, 19
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466 Index turbulent, 111, 126 fluct
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468 Index LPC, 29 luminescence of b
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470 Index peak factor, 38, 43 Peier
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472 Index laser-induced bubble, 152
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474 Index ultraharmonic resonance,
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