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Competing interactions and patterns in nanoworld [[electronic resource] /] / Elena Y. Vedmedenko
| Competing interactions and patterns in nanoworld [[electronic resource] /] / Elena Y. Vedmedenko |
| Autore | Vedmedenko Elena Y |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH, c2007 |
| Descrizione fisica | 1 online resource (217 p.) |
| Disciplina |
530.41
548 |
| Soggetto topico |
Nanoscience
Pattern formation (Physical sciences) Solid state physics Critical phenomena (Physics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-85469-3
9786610854691 3-527-61050-2 3-527-61051-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Competing Interactions and Patterns in Nanoworld; Contents; Preface; 1 Introduction; 1.1 How the Story Began; 1.1.1 Structure Periodicity and Modulated Phases; 1.1.2 Ferromagnetic and Ferroelectric Domains; 1.2 First Theoretical Approaches for Competing Interactions; 1.2.1 Frenkel-Kontorova Model; 1.2.2 Theoretical Models of the Magnetic/Ferroelectric Domains; 1.2.2.1 Phenomenology of the Dipolar Interaction; 1.2.2.2 Phenomenology of the Exchange and Exchange-Like Interactions; 1.2.2.3 Mechanism of the Domain Formation; 1.3 Summary; 1.4 Exercises; References
2 Self-Competition: or How to Choose the Best from the Worst2.1 Frustration: The World is not Perfect; 2.2 Why is an Understanding of Frustration Phenomena Important for Nanosystems?; 2.3 Ising, XY, and Heisenberg Statistical Models; 2.4 Order-Disorder Phenomena; 2.4.1 Phase Transitions and their Characterization; 2.4.2 Order Below T(c); 2.4.3 Measure of Frustration: Local Energy Parameter; 2.5 Self-Competition of the Short-Range Interactions; 2.5.1 Ising Antiferromagnet on a Lattice; 2.5.1.1 Triangular Lattice; 2.5.1.2 Kagome Lattice; 2.5.1.3 Ising Antiferromagnet on Aperiodic Tilings 2.5.2 Heisenberg Antiferromagnet on a Lattice2.5.2.1 Triangular and Kagome Lattices; 2.5.2.2 Aperiodic Tilings; 2.5.3 Three-Dimensional Spin Structure on a Periodic Two-Dimensional Lattice: Itinerant Systems; 2.5.4 Frustration Squeezed Out; 2.6 Self-Competition of the Long-Range Interactions; 2.6.1 Dipolar Interactions; 2.6.1.1 Localized Ising Moments on a Periodic Lattice; 2.6.1.2 Localized Vector Moments on a Periodic Lattice; 2.6.1.3 Localized Vector Moments on Aperiodic Tilings; 2.6.1.4 Delocalized Moments with Given Orientation: Two-Dimensional Electron Wigner Crystal 2.6.2 Multipolar Interactions: Why Might that be Interesting?2.6.2.1 Multipolar Moments of Molecular Systems and Bose-Einstein Condensates; 2.6.2.2 Multipolar Moments of Nanomagnetic Particles; 2.6.2.3 Multipole-Multipole Interactions; 2.6.2.4 Ground States for Multipoles of Even Symmetry: Quadrupolar and Hexadecapolar Patterns; 2.6.2.5 Ground States for Multipoles of Odd Symmetry: Octopolar and Dotriacontapolar Patterns; 2.7 Summary; 2.8 Exercises; References; 3 Competition Between a Short- and a Long-Range Interaction; 3.1 Localized Particles 3.1.1 Competition Between the Ferromagnetic Exchange and the Dipolar Interaction: Ising Spins3.1.1.1 Stripes or Checkerboard?; 3.1.1.2 Scaling Theory; 3.1.1.3 Stripes in an External Magnetic Field: Bubbles; 3.1.2 Competition Between the Ferromagnetic Exchange and the Dipolar Interaction: Vector Spins; 3.1.2.1 Films: Dominating Exchange Interaction; 3.1.2.2 Films: Dominating Dipolar Interaction; 3.1.2.3 Nanoparticles with Periodic Atomic Structure; 3.1.2.4 Nanoparticles with Aperiodic Atomic Structure; 3.1.3 Competition Between the Antiferromagnetic Exchange and the Dipolar Interaction 3.1.3.1 Periodic Lattices |
| Record Nr. | UNINA-9910144729103321 |
Vedmedenko Elena Y
|
||
| Weinheim, : Wiley-VCH, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Competing interactions and patterns in nanoworld [[electronic resource] /] / Elena Y. Vedmedenko
| Competing interactions and patterns in nanoworld [[electronic resource] /] / Elena Y. Vedmedenko |
| Autore | Vedmedenko Elena Y |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH, c2007 |
| Descrizione fisica | 1 online resource (217 p.) |
| Disciplina |
530.41
548 |
| Soggetto topico |
Nanoscience
Pattern formation (Physical sciences) Solid state physics Critical phenomena (Physics) |
| ISBN |
1-280-85469-3
9786610854691 3-527-61050-2 3-527-61051-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Competing Interactions and Patterns in Nanoworld; Contents; Preface; 1 Introduction; 1.1 How the Story Began; 1.1.1 Structure Periodicity and Modulated Phases; 1.1.2 Ferromagnetic and Ferroelectric Domains; 1.2 First Theoretical Approaches for Competing Interactions; 1.2.1 Frenkel-Kontorova Model; 1.2.2 Theoretical Models of the Magnetic/Ferroelectric Domains; 1.2.2.1 Phenomenology of the Dipolar Interaction; 1.2.2.2 Phenomenology of the Exchange and Exchange-Like Interactions; 1.2.2.3 Mechanism of the Domain Formation; 1.3 Summary; 1.4 Exercises; References
2 Self-Competition: or How to Choose the Best from the Worst2.1 Frustration: The World is not Perfect; 2.2 Why is an Understanding of Frustration Phenomena Important for Nanosystems?; 2.3 Ising, XY, and Heisenberg Statistical Models; 2.4 Order-Disorder Phenomena; 2.4.1 Phase Transitions and their Characterization; 2.4.2 Order Below T(c); 2.4.3 Measure of Frustration: Local Energy Parameter; 2.5 Self-Competition of the Short-Range Interactions; 2.5.1 Ising Antiferromagnet on a Lattice; 2.5.1.1 Triangular Lattice; 2.5.1.2 Kagome Lattice; 2.5.1.3 Ising Antiferromagnet on Aperiodic Tilings 2.5.2 Heisenberg Antiferromagnet on a Lattice2.5.2.1 Triangular and Kagome Lattices; 2.5.2.2 Aperiodic Tilings; 2.5.3 Three-Dimensional Spin Structure on a Periodic Two-Dimensional Lattice: Itinerant Systems; 2.5.4 Frustration Squeezed Out; 2.6 Self-Competition of the Long-Range Interactions; 2.6.1 Dipolar Interactions; 2.6.1.1 Localized Ising Moments on a Periodic Lattice; 2.6.1.2 Localized Vector Moments on a Periodic Lattice; 2.6.1.3 Localized Vector Moments on Aperiodic Tilings; 2.6.1.4 Delocalized Moments with Given Orientation: Two-Dimensional Electron Wigner Crystal 2.6.2 Multipolar Interactions: Why Might that be Interesting?2.6.2.1 Multipolar Moments of Molecular Systems and Bose-Einstein Condensates; 2.6.2.2 Multipolar Moments of Nanomagnetic Particles; 2.6.2.3 Multipole-Multipole Interactions; 2.6.2.4 Ground States for Multipoles of Even Symmetry: Quadrupolar and Hexadecapolar Patterns; 2.6.2.5 Ground States for Multipoles of Odd Symmetry: Octopolar and Dotriacontapolar Patterns; 2.7 Summary; 2.8 Exercises; References; 3 Competition Between a Short- and a Long-Range Interaction; 3.1 Localized Particles 3.1.1 Competition Between the Ferromagnetic Exchange and the Dipolar Interaction: Ising Spins3.1.1.1 Stripes or Checkerboard?; 3.1.1.2 Scaling Theory; 3.1.1.3 Stripes in an External Magnetic Field: Bubbles; 3.1.2 Competition Between the Ferromagnetic Exchange and the Dipolar Interaction: Vector Spins; 3.1.2.1 Films: Dominating Exchange Interaction; 3.1.2.2 Films: Dominating Dipolar Interaction; 3.1.2.3 Nanoparticles with Periodic Atomic Structure; 3.1.2.4 Nanoparticles with Aperiodic Atomic Structure; 3.1.3 Competition Between the Antiferromagnetic Exchange and the Dipolar Interaction 3.1.3.1 Periodic Lattices |
| Record Nr. | UNINA-9910830922503321 |
|
Vedmedenko Elena Y
|
||
| Weinheim, : Wiley-VCH, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||