Oscillations, Waves, and Interactions - GWDG

More documents

Recommendations

Info

384 U. Kaatze and R. Behrends Figure 17. Relaxation time distribution function of the Hill relaxation term of some nheptylammonium chloride aqueous solutions at 25 ◦ C. however, attract attention. Obviously, the low-frequency term, which within the micelle formation/decay scheme (Fig. 12) reflects the fast monomer exchange, is subject to a considerable distribution of relaxation times. Empirically this term can be adequately represented by a Hill relaxation function [77–79], defined by RH(ν) = AH(ωτH) mH [1 + (ωτH) 2sH ] mH +nH 2sH . (37) In this function AH is an amplitude and mH, nH, sH ∈]0, 1] are parameters controlling the shape and width of the underlying relaxation time distribution function GH(ln(τ/τH)). The principal relaxation time τH, according to [79] τH = τmax(mH/nH) 1/(2sH) is related to the frequency νmax = (2πτmax) −1 at which RH(ν) adopts its maximum. At some surfactant concentrations the relaxation time distribution function, defined by RH(ν) = AH � ∞ (38) GH (ln(τ/τH)) ωτ −∞ � 1 + (ωτ) 2�−1 d ln(τ/τH) (39) is shown in Fig. 17 for solutions of n-HepACl in water. The function GH (ln(τ/τH)) has been calculated by analytical continuation [80] from the Hill spectral function (Eq. (37)) using the normalisation � ∞ GH (ln(τ/τH)) d ln(τ/τH) = 0 . (40) −∞
Liquids: Formation of complexes and complex dynamics 385 Figure 18. Relaxation rate τ −1 max of the Hill relaxation term in the spectra of aqueous solutions of n-heptylammonium chloride (△ [74]) and of triethylene glycol monohexyl ether (◦ [81]) at 25 ◦ C displayed versus concentration difference C − cmc. The dashed line represents the predictions from the extended version of the Teubner-Kahlweit-Aniansson-Wall model [75]. The curves given in Fig. 17 reveal a particularly broad distribution function at surfactant concentrations near the cmc, where the content of oligomeric structures is high. Additionally, the relaxation time τH of the short chain surfactant system shows a remarkable behaviour (Fig. 18). At variance with the predictions of the Teubner- Kahlweit-Aniansson-Wall theory (Eq. (31)), the experimental relaxation rate τ −1 max (and thus τ −1 H ) at surfactant concentrations near the cmc first decreases with C to increase according to Eq. (31) at higher C only. In order to take properties of short chain surfactant systems into account, a computer simulation study of the coupled isodesmic reaction scheme (Eq. (25)) has been performed [75] in which the size distribution of micelles was not introduced empirically but was derived from reasonable rate constants, assumed to follow and k r i+1 = � k r m (1 + sr(i − m)) + k r � 2 1 + exp k f i+1 = kf m (1 − sf (i − m)) (41) � 1 − ic d �� i − ic 1 + exp . d (42) In these equations the parameters sf and sr define the slopes in the dependencies of upon i and kf m as well as krm allow the forward and reverse rate constants, respectively, to be matched at i = m. Parameter ic defines the aggregation number at change from a linear dependence upon i to a Fermi k f i and kr i which the reverse rate constants kr i distribution. The quantities kr 2 and d are additionally used to model the kr i -versus-i relation at small aggregation numbers. These quantities are thus related to the cmc
Page 1:
Thomas Kurz, Ulrich Parlitz, and Ud
Page 4 and 5:
erschienen im Universitätsverlag G
Page 6 and 7:
Bibliographische Information der De
Page 8 and 9:
iv Contents Laser speckle metrology
Page 11 and 12:
Oscillations, Waves and Interaction
Page 13 and 14:
Applied physics at the “Dritte”
Page 15 and 16:
Page 17 and 18:
Page 19 and 20:
Page 21 and 22:
Page 23 and 24:
Page 25 and 26:
Page 27 and 28:
Page 29 and 30:
Page 31 and 32:
Page 33 and 34:
Page 35 and 36:
Page 37 and 38:
noise component [GNE] 5 4 3 2 1 can
Page 39 and 40:
3.4 Transfer to running speech Spee
Page 41 and 42:
3.4.2 Analysis of running speech Sp
Page 43 and 44:
Speech research 33 Area [Pixels] 60
Page 45 and 46:
Speech research 35 [13] D. Michaeli
Page 47 and 48:
Page 49 and 50:
Specific signal types in hearing re
Page 51 and 52:
Page 53 and 54:
Page 55 and 56:
Page 57 and 58:
Page 59 and 60:
Page 61 and 62:
Page 63 and 64:
Page 65 and 66:
Page 67 and 68:
Page 69 and 70:
Page 71 and 72:
Page 73 and 74:
Page 75 and 76:
Page 77 and 78:
Page 79 and 80:
Page 81:
Page 84 and 85:
74 D. Ronneberger et al. Mechel fou
Page 86 and 87:
76 D. Ronneberger et al. (flow velo
Page 88 and 89:
78 D. Ronneberger et al. |t + acous
Page 90 and 91:
80 D. Ronneberger et al. Figure 6.
Page 92 and 93:
82 D. Ronneberger et al. Figure 8.
Page 94 and 95:
84 D. Ronneberger et al. (flow velo
Page 96 and 97:
86 D. Ronneberger et al. R / L ⋅
Page 98 and 99:
88 D. Ronneberger et al. e. g. temp
Page 100 and 101:
90 D. Ronneberger et al. 3.2 Qualit
Page 102 and 103:
92 D. Ronneberger et al. As usual t
Page 104 and 105:
94 D. Ronneberger et al. (wavenumbe
Page 106 and 107:
96 D. Ronneberger et al. powers of
Page 108 and 109:
98 D. Ronneberger et al. an increas
Page 110 and 111:
100 D. Ronneberger et al. The term
Page 112 and 113:
102 D. Ronneberger et al. Neverthel
Page 114 and 115:
104 D. Ronneberger et al. [4] J. Br
Page 116 and 117:
106 D. Ronneberger et al. strömung
Page 118 and 119:
108 D. Guicking synchronised tuning
Page 120 and 121:
110 D. Guicking primary noise micro
Page 122 and 123:
112 D. Guicking primary sensor desi
Page 124 and 125:
114 D. Guicking by an antiphase sou
Page 126 and 127:
116 D. Guicking R L C C + + 1 1−C
Page 128 and 129:
118 D. Guicking More involved than
Page 130 and 131:
120 D. Guicking In the 1980s, longi
Page 132 and 133:
122 D. Guicking with electrodynamic
Page 134 and 135:
124 D. Guicking 3.6 Noise reduction
Page 136 and 137:
126 D. Guicking the turbulence of a
Page 138 and 139:
128 D. Guicking References [1] Lord
Page 140 and 141:
130 D. Guicking [44] Falcke, H.,
Page 142 and 143:
132 D. Guicking [84] J. Melcher,
Page 144 and 145:
134 D. Guicking [125] D. Heyland et
Page 146 and 147:
136 D. Guicking [166] S. Zommer et
Page 148 and 149:
138 D. Guicking [212] M. L. Post an
Page 150 and 151:
140 W. Lauterborn et al. liquid κ
Page 152 and 153:
142 W. Lauterborn et al. Figure 2.
Page 154 and 155:
144 W. Lauterborn et al. nator, and
Page 156 and 157:
146 W. Lauterborn et al. by types a
Page 158 and 159:
148 W. Lauterborn et al. bubble rad
Page 160 and 161:
Page 162 and 163:
Page 164 and 165:
154 W. Lauterborn et al. P koll [kb
Page 166 and 167:
156 W. Lauterborn et al. Pulse widt
Page 168 and 169:
158 W. Lauterborn et al. laser puls
Page 170 and 171:
Page 172 and 173:
Page 174 and 175:
Page 176 and 177:
Page 178 and 179:
168 W. Lauterborn et al. R [µ m] 1
Page 180 and 181:
170 W. Lauterborn et al. [17] M. P.
Page 182 and 183:
172 R. Mettin (a) (b) Figure 1. Bub
Page 184 and 185:
174 R. Mettin 0 ms 2 mm 1 ms 2 ms 3
Page 186 and 187:
176 R. Mettin important quantity ch
Page 188 and 189:
178 R. Mettin 100 kPa 200 kPa | | F
Page 190 and 191:
180 R. Mettin Figure 7. Trapped sin
Page 192 and 193:
182 R. Mettin concentration of spec
Page 194 and 195:
184 R. Mettin which is called the p
Page 196 and 197:
186 R. Mettin R 02 [µm] R 02 [µm]
Page 198 and 199:
188 R. Mettin constant to M a = 2π
Page 200 and 201:
190 R. Mettin (a) p a [Pa] 140 120
Page 202 and 203:
192 R. Mettin z [mm] 5 4 3 2 1 0 -1
Page 204 and 205:
194 R. Mettin Figure 17. Left: Expe
Page 206 and 207:
196 R. Mettin - a hot microlaborato
Page 208 and 209:
198 R. Mettin [52] R. Mettin, C.-D.
Page 210 and 211:
200 W. Eisenmenger and U. Kaatze Th
Page 212 and 213:
202 W. Eisenmenger and U. Kaatze Fi
Page 214 and 215:
Page 216 and 217:
Page 218 and 219:
Page 220 and 221:
Page 222 and 223:
Page 224 and 225:
214 W. Eisenmenger and U. Kaatze 6
Page 226 and 227:
216 W. Eisenmenger and U. Kaatze Pr
Page 228 and 229:
218 A. Vogel, I. Apitz, V. Venugopa
Page 230 and 231:
Page 232 and 233:
Page 234 and 235:
Page 236 and 237:
Page 238 and 239:
Page 240 and 241:
Page 242 and 243:
Page 244 and 245:
Page 246 and 247:
Page 248 and 249:
Page 250 and 251:
Page 252 and 253:
Page 254 and 255:
Page 256 and 257:
Page 258 and 259:
Page 260 and 261:
Page 262 and 263:
Page 264 and 265:
Page 266 and 267:
Page 268 and 269:
Page 270 and 271:
260 K. D. Hinsch Generally, any of
Page 272 and 273:
262 K. D. Hinsch Figure 1. Monitori
Page 274 and 275:
264 K. D. Hinsch Figure 3. ESPI stu
Page 276 and 277:
266 K. D. Hinsch Figure 4. Deterior
Page 278 and 279:
268 K. D. Hinsch Often, in-plane mo
Page 280 and 281:
270 K. D. Hinsch Figure 7. Optical
Page 282 and 283:
272 K. D. Hinsch Figure 9. Humidity
Page 284 and 285:
274 K. D. Hinsch locations that tak
Page 286 and 287:
276 K. D. Hinsch Figure 13. Map of
Page 288 and 289:
278 K. D. Hinsch References [1] D.
Page 290 and 291:
280 Schreiber not moving along with
Page 292 and 293:
282 Schreiber These properties made
Page 294 and 295:
284 Schreiber Figure 3. The G ring
Page 296 and 297:
286 Schreiber Rotation Rate [rad/s]
Page 298 and 299:
288 Schreiber and it is currently b
Page 300 and 301:
290 Schreiber n1 D A B n Figure 8.
Page 302 and 303:
292 Schreiber Beamwalk [µm] 80.0 7
Page 304 and 305:
294 Schreiber ∆ Perimeter [*10e12
Page 306 and 307:
296 Schreiber and the last term acc
Page 308 and 309:
298 Schreiber Δf [µHz] 100 50 0 -
Page 310 and 311:
300 Schreiber formation of a new wo
Page 312 and 313:
302 Schreiber PSD [*10 16 (rad/s) 2
Page 314 and 315:
304 Schreiber 7.2 The ring laser co
Page 316 and 317:
306 Schreiber Demodulator Signal [V
Page 318 and 319:
308 Schreiber Est. Phase Vel. (m/s)
Page 320 and 321:
310 Schreiber [18] V. Frede and V.
Page 322 and 323:
312 Martin Dressel tice is reduced
Page 324 and 325:
314 Martin Dressel Metallic whisker
Page 326 and 327:
316 Martin Dressel (a) (b) (c) CH 3
Page 328 and 329:
318 Martin Dressel 3.1 Charge densi
Page 330 and 331:
320 Martin Dressel Absorptivity σ
Page 332 and 333:
322 Martin Dressel brought a confir
Page 334 and 335:
324 Martin Dressel a charge disprop
Page 336 and 337:
326 Martin Dressel Conductivity 70
Page 338 and 339:
328 Martin Dressel Reflectivity Con
Page 340 and 341:
330 Martin Dressel References [1] M
Page 342 and 343:
332 Martin Dressel and L. Montgomer
Page 344 and 345: 334 R. Pottel, J. Haller and U. Kaa
Page 378 and 379: 368 U. Kaatze and R. Behrends with
Page 380 and 381: 370 U. Kaatze and R. Behrends Figur
Page 396 and 397: 386 U. Kaatze and R. Behrends of th
Page 408 and 409: 398 U. Kaatze and R. Behrends [6] M
Page 410 and 411: 400 U. Kaatze and R. Behrends [49]
Page 412 and 413: 402 U. Kaatze and R. Behrends (2002
Page 414 and 415: 404 U. Kaatze and R. Behrends Copyr
Page 416 and 417: 406 U. Parlitz here chaos control m
Page 418 and 419: 408 U. Parlitz Figure 2. Amplitude
Page 420 and 421: 410 U. Parlitz 4 10 5 5 (a) (b) (c)
Page 422 and 423: 412 U. Parlitz two-parameter studie
Page 424 and 425: 414 U. Parlitz GN differential opti
Page 426 and 427: 416 U. Parlitz P 1 P 2 P 3 S P 1 P
Page 428 and 429: 418 U. Parlitz Figure 9. Correlatio
Page 430 and 431: 420 U. Parlitz series” where for
Page 432 and 433: 422 U. Parlitz current state future
Page 434 and 435: 424 U. Parlitz tion [69] of two uni
Page 436 and 437: 426 U. Parlitz LD1 LD2 M BS1 BS2 OD
Page 438 and 439: 428 U. Parlitz with a clear tendenc
Page 440 and 441: 430 U. Parlitz (a) y (c) y 40 20 È
Page 442 and 443: 432 U. Parlitz [29] P. Grassberger,
Page 444 and 445:
434 U. Parlitz [76] H. D. I. Abarba
Page 446 and 447:
436 S. Lakämper and C. F. Schmidt
Page 448 and 449:
Page 450 and 451:
Page 452 and 453:
Page 454 and 455:
Page 456 and 457:
Page 458 and 459:
Page 460 and 461:
Page 462 and 463:
Page 464 and 465:
Page 466 and 467:
Page 468 and 469:
Page 470 and 471:
Page 472 and 473:
462 Index basin of attraction, 144
Page 474 and 475:
464 Index cone bubble structure, 19
Page 476 and 477:
466 Index turbulent, 111, 126 fluct
Page 478 and 479:
468 Index LPC, 29 luminescence of b
Page 480 and 481:
470 Index peak factor, 38, 43 Peier
Page 482 and 483:
472 Index laser-induced bubble, 152
Page 484 and 485:
474 Index ultraharmonic resonance,
show all

Oscillations, Waves, and Interactions - GWDG

Create successful ePaper yourself

Delete template?

Save as template?