Quodons in Mica

1. Front Matter

   Pages i-xxv

   PDF

2. On Mica and Mica Related Systems

   1. Front Matter

      Pages 1-1

      PDF

   2. Tracks in Mica, 50 Years Later: Review of Evidence for Recording the Tracks of Charged Particles and Mobile Lattice Excitations in Muscovite Mica

      • F. Michael Russell

      Pages 3-33

   3. Numerical Simulations of Nonlinear Modes in Mica: Past, Present and Future

      • Janis Bajars, J. Chris Eilbeck, Ben Leimkuhler

      Pages 35-67

   4. A Supersonic Crowdion in Mica

      • Juan F. R. Archilla, Yuriy A. Kosevich, Noé Jiménez, Víctor J. Sánchez-Morcillo, Luis M. García-Raffi

      Pages 69-96

3. Two-dimensional Lattices

   1. Front Matter

      Pages 97-97

      PDF

   2. Pattern Formation by Traveling Localized Modes in Two-Dimensional Dissipative Media with Lattice Potentials

      • Valentin Besse, Hervé Leblond, Dumitru Mihalache, Boris A. Malomed

      Pages 99-128

   3. A Numerical Study of Weak Lateral Dispersion in Discrete and Continuum Models

      • Luis A. Cisneros-Ake, Antonmaria A. Minzoni

      Pages 129-145

   4. Breather Mobility and the Peierls-Nabarro Potential: Brief Review and Recent Progress

      • Magnus Johansson, Peter Jason

      Pages 147-178

   5. Asymptotic Approximation of Discrete Breather Modes in Two-Dimensional Lattices

      • Jonathan A. D. Wattis

      Pages 179-201

4. Molecular Dynamics

   1. Front Matter

      Pages 203-203

      PDF

   2. Moving Discrete Breathers in 2D and 3D Crystals

      • Sergey V. Dmitriev, Andrei A. Kistanov, Vladimir I. Dubinko

      Pages 205-227

   3. Standing and Moving Discrete Breathers with Frequencies Above the Phonon Spectrum

      • Vladimir Hizhnyakov, Mati Haas, Alexander Shelkan, Mihhail Klopov

      Pages 229-245

   4. Phonon Interference and Energy Transport in Nonlinear Lattices with Resonance Defects

      • Yuriy A. Kosevich, Haoxue Han, Lyudmila G. Potyomina, Alexandre N. Darinskii, Sebastian Volz

      Pages 247-263

5. Electrons and Lattice Vibrations

   1. Front Matter

      Pages 265-265

      PDF

   2. Electron Transfer and Tunneling from Donor to Acceptor in Anharmonic Crystal Lattices

      • Alexander P. Chetverikov, Leonor Cruzeiro, Werner Ebeling, Manuel G. Velarde

      Pages 267-289

   3. Bound States of Electrons in Harmonic and Anharmonic Crystal Lattices

      • Larissa S. Brizhik, Alexander P. Chetverikov, Werner Ebeling, Gerd Röpke, Manuel G. Velarde

      Pages 291-319

   4. Solitons and Charge Transport in Triangular and Quadratic Crystal Lattices

      • A. P. Chetverikov, W. Ebeling, M. G. Velarde

      Pages 321-339

6. Semiconductors

   1. Front Matter

      Pages 341-341

      PDF

   2. Experimental Observation of Intrinsic Localized Modes in Germanium

      • Juan F. R. Archilla, Sergio M. M. Coelho, F. Danie Auret, Cloud Nyamhere, Vladimir I. Dubinko, Vladimir Hizhnyakov

      Pages 343-362

This book presents the current knowledge about nonlinear localized travelling excitations in crystals. Excitations can be vibrational, electronic, magnetic or of many other types, in many different types of crystals, as silicates, semiconductors and metals. The book is dedicated to the British scientist FM Russell, recently turned 80. He found 50 years ago that a mineral mica muscovite was able to record elementary charged particles and much later that also some kind of localized excitations, he called them quodons, was also recorded. The tracks, therefore, provide a striking experimental evidence of quodons existence. The first chapter by him presents the state of knowledge in this topic. It is followed by about 18 chapters from world leaders in the field, reviewing different aspects, materials and methods including experiments, molecular dynamics and theory and also presenting the latest results. The last part includes a personal narration of FM Russell of the deciphering of the marks in mica. It provides a unique way to present the science in an accessible way and also illustrates the process of discovery in a scientist's mind.

• Anharmonic Molecular Chains
• Crystalline Acetanilide
• Electrons and Solitons
• FM Russell
• Intrinsic Localized Mode
• Intrinsic Localized Modes
• Mica Muscovite Crystals
• Mineral Mica Muscovite
• PT-symmetric Metamaterials
• Quodons Review
• Solitons and Charge Transport
• Travelling Excitations

• Departamento de Física Aplicada I, Group of Nonlinear Physics, Universidad de Sevilla, Sevilla, Spain

  Juan F. R. Archilla

• Física Aplicada, EPS Gandía, Universidad Politécnica de Valencia, Gandia, Spain

  Noé Jiménez

• Física Aplicada, EPS Gandia, Universidad Politécnica de Valencia, Gandia, Spain

  Victor J. Sánchez-Morcillo

• Matemática Aplicada, Universidad Politécnica de Valencia, Valencia, Spain

  Luis M. García-Raffi

Policies and ethics