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Investigation of Phason Statics and Dynamics

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(1)Investigation of Phason Statics and Dynamics Hans-Rainer Trebin, Ulrich Koschella, Masahiro Umezaki, T. Odagaki. To cite this version: Hans-Rainer Trebin, Ulrich Koschella, Masahiro Umezaki, T. Odagaki. Investigation of Phason Statics and Dynamics. Philosophical Magazine, Taylor & Francis, 2006, 86 (06-08), pp.1021-1028. �10.1080/14786430500256409�. �hal-00513578�. HAL Id: hal-00513578 https://hal.archives-ouvertes.fr/hal-00513578 Submitted on 1 Sep 2010. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2) Philosophical Magazine & Philosophical Magazine Letters. rP Fo. Investigation of Phason Statics and Dynamics. ee. Journal:. Journal Selection:. Complete List of Authors:. TPHM-05-May-0239 Philosophical Magazine 15-May-2005. ev. Date Submitted by the Author:. rR. Manuscript ID:. Philosophical Magazine & Philosophical Magazine Letters. Keywords:. atomic dynamics, quasicrystals, computer modelling phason elasticity. ly. On. Keywords (user supplied):. w. ie. Trebin, Hans-Rainer; Universität Stuttgart, Institut für Theoretische und Angewandte Physik Koschella, Ulrich; Universität Stuttgart, Institut für Theoretische und Angewandte Physik Umezaki, Masahiro; Kyushu University, Department of Physics Odagaki, T.; Kyushu University, Department of Physics. http://mc.manuscriptcentral.com/pm-pml.

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(84) Page 7 of 12. "@w9v. ›šjk~Ilriv . . . z0jyv2e„hg *. / 1 W 5Ówxn . b l™3hwv0jy~xt‰horitwI—ßñ3v2{~Iv0g2‹78 4 . 4 ( ô. Fo. ›šjk~Ilrv¡ |^kyw¢Dv0{ ù kv2nØh €xe{änàwIriñjy{m{v0e ù rjy~xt‰h z0wxem÷~Ilr€[hjkwIewxnPhfDww9z±h€x~Iwxeg0ôsutriv0vwxnPhtmv ejkev–{jygŠh€xemz0v0g2‹otjyztFz0wIe„hrjyñmlmhv–hwhtvewIe9“f€xe€xÏƒ=hjyz^hv0ri— g2‹€xrvgitw¢oeNô. ›šjk~Ilrv. ee. rP 

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(96) Page 11 of 12. w. ie. ev. rR. ee. rP Fo $\omega*S_s(q,\omega)$ vs $\omega$ for several temperatures. At high $T_{red}=kT/\epsilon$ (5.0, 1.0 and 0.5) a single peak is observed which moves towards smaller frequencies when $T_{red}$ is lowered. It indicates a Lorentzian form of $S_s(q,\omega)$ with decreasing width. At $T_{red}=0.1$ and 0.01 the signature of a phononic resonance appears additionally at about $\omega=8$. The wavevector $q= 2*\pi/(L-S)$ is fixed. 211x198mm (72 x 72 DPI). ly. On. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60. Philosophical Magazine & Philosophical Magazine Letters. http://mc.manuscriptcentral.com/pm-pml.

(97) Philosophical Magazine & Philosophical Magazine Letters. rR. ee. rP Fo Phasonic flip front versus $t$ upon periodic excitation of the left-most atom in double logarithmic representation. $k/a$ is the ratio of damping to amplitude. For zero damping the phason is running with the phonon, with increasing damping the phasons become pinned. 268x179mm (72 x 72 DPI). w. ie. ev. ly. On. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60. http://mc.manuscriptcentral.com/pm-pml. Page 12 of 12.

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