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Original Articles

Analogies between hopping and phonon propagation in disordered solids

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Pages 607-613 | Received 21 Oct 1991, Accepted 11 Nov 1991, Published online: 20 Aug 2006

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Read on this site (2)

Carl Ganter & Walter Schirmacher. (2001) Generalizated effective-medium approximation for hopping transport in topologically disordered systems. Philosophical Magazine B 81:9, pages 915-924.
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A.G. Hunt. (2001) Ac hopping conduction: Perspective from percolation theory. Philosophical Magazine B 81:9, pages 875-913.
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Articles from other publishers (22)

Walter Schirmacher & Giancarlo Ruocco. 2024. Encyclopedia of Condensed Matter Physics. Encyclopedia of Condensed Matter Physics 298 317 .
Soumee Chakraborty, V. Sivasubramanian, L. Herojit Singh, R. Venkata Krishnan & A.K. Sinha. (2017) Anomalous variation of Boson peak and fragility and their correlations with intermediate-range structure in PbO-B2O3 glasses. Journal of Alloys and Compounds 713, pages 95-107.
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Viola Folli, Giancarlo Ruocco & Walter Schirmacher. (2017) Moment-Preserving Theory of Vibrational Dynamics of Topologically Disordered Systems. Frontiers in Physics 5.
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Walter Schirmacher, Tullio Scopigno & Giancarlo Ruocco. (2015) Theory of vibrational anomalies in glasses. Journal of Non-Crystalline Solids 407, pages 133-140.
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Martin Schmidt, Tsampikos Kottos & Boris Shapiro. (2013) Random-matrix-theory approach to mesoscopic fluctuations of heat current. Physical Review E 88:2.
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S. Köhler, G. Ruocco & W. Schirmacher. (2013) Coherent potential approximation for diffusion and wave propagation in topologically disordered systems. Physical Review B 88:6.
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Ariel Amir, Jacob J. Krich, Vincenzo Vitelli, Yuval Oreg & Yoseph Imry. (2013) Emergent Percolation Length and Localization in Random Elastic Networks. Physical Review X 3:2.
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Yaron de Leeuw & Doron Cohen. (2012) Diffusion in sparse networks: Linear to semilinear crossover. Physical Review E 86:5.
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C. Tomaras, B. Schmid & W. Schirmacher. (2011) Replica field theory for anharmonic sound attenuation in glasses. Journal of Non-Crystalline Solids 357:2, pages 542-546.
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Ariel Amir, Yuval Oreg & Yoseph Imry. (2010) Localization, Anomalous Diffusion, and Slow Relaxations: A Random Distance Matrix Approach. Physical Review Letters 105:7.
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Allen Hunt. (2009) Relevance of percolation theory to power‐law behavior of dynamic processes including transport in disordered media. Complexity 15:2, pages 13-27.
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Bernhard Schmid & Walter Schirmacher. (2008) Raman Scattering and the Low-Frequency Vibrational Spectrum of Glasses. Physical Review Letters 100:13.
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W. Schirmacher, B. Schmid, C. Tomaras, G. Viliani, G. Baldi, G. Ruocco & T. Scopigno. (2008) Vibrational excitations in systems with correlated disorder. physica status solidi c 5:3, pages 862-866.
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W Schirmacher. (2006) Thermal conductivity of glassy materials and the “boson peak". Europhysics Letters (EPL) 73:6, pages 892-898.
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Jan W Kantelhardt, Stefanie Russ & Armin Bunde. (2002) Vibrational models for the Boson peak. Journal of Non-Crystalline Solids 307-310, pages 96-102.
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W. Götze & M. R. Mayr. (2000) Evolution of vibrational excitations in glassy systems. Physical Review E 61:1, pages 587-606.
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W. Schirmacher & G. Diezemann. (1999) Propagation and localisation of vibrational modes in 3–dimensional disordered systems: the binary force constant model. Annalen der Physik 511:7-9, pages 727-732.
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Walter Schirmacher, G Diezemann & C Ganter. (1999) Model calculations for vibrational properties of disordered solids and the ?boson peak?. Physica B: Condensed Matter 263-264, pages 160-162.
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Walter Schirmacher, Gregor Diezemann & Carl Ganter. (1998) Harmonic Vibrational Excitations in Disordered Solids and the “Boson Peak”. Physical Review Letters 81:1, pages 136-139.
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F J Bermejo, A Criado, M Garcia-Hernandez, J Alonso, C Prieto & J L Martinez. (1994) Collective low-frequency excitations in a molecular glass. Journal of Physics: Condensed Matter 6:2, pages 405-420.
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Walter Schirmacher & Michael Wagener. (1993) Vibrational anomalies and phonon localization in glasses. Solid State Communications 86:9, pages 597-603.
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W. Schirmacher & M. Wagener. 1993. Phonon Scattering in Condensed Matter VII. Phonon Scattering in Condensed Matter VII 223 224 .

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