| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNISA996466687703316 |
|
|
Autore |
Suzuki Sei |
|
|
Titolo |
Quantum Ising Phases and Transitions in Transverse Ising Models [[electronic resource] /] / by Sei Suzuki, Jun-ichi Inoue, Bikas K. Chakrabarti |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[2nd ed. 2013.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (XI, 403 p. 117 illus.) |
|
|
|
|
|
|
Collana |
|
Lecture Notes in Physics, , 0075-8450 ; ; 862 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Phase transitions (Statistical physics) |
Statistical physics |
Dynamical systems |
Magnetism |
Magnetic materials |
Quantum physics |
Phase Transitions and Multiphase Systems |
Complex Systems |
Magnetism, Magnetic Materials |
Quantum Physics |
Statistical Physics and Dynamical Systems |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Bibliographic Level Mode of Issuance: Monograph |
|
|
|
|
|
|
Nota di contenuto |
|
Introduction -- Transverse Ising Chain (Pure System) -- Transverse Ising System in Higher Dimensions (Pure Systems) -- ANNNI Model in Transverse Field -- Dilute and Random Transverse Ising Systems -- Transverse Ising Spin Glass and Random Field Systems -- Dynamics of Quantum Ising Systems -- Quantum Annealing -- Applications -- Related Models -- Brief Summary and Outlook -- Index. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
Quantum phase transitions, driven by quantum fluctuations, exhibit intriguing features offering the possibility of potentially new applications, e.g. in quantum information sciences. Major advances have been made in both theoretical and experimental investigations of |
|
|
|
|
|
|
|
|
|
|
|
|
|
the nature and behavior of quantum phases and transitions in cooperatively interacting many-body quantum systems. For modeling purposes, most of the current innovative and successful research in this field has been obtained by either directly or indirectly using the insights provided by quantum (or transverse field) Ising models because of the separability of the cooperative interaction from the tunable transverse field or tunneling term in the relevant Hamiltonian. Also, a number of condensed matter systems can be modeled accurately in this approach, hence granting the possibility to compare advanced models with actual experimental results. This work introduces these quantum Ising models and analyses them both theoretically and numerically in great detail. With its tutorial approach the book addresses above all young researchers who wish to enter the field and are in search of a suitable and self-contained text, yet it will also serve as a valuable reference work for all active researchers in this area. |
|
|
|
|
|
|
2. |
Record Nr. |
UNINA9910807295603321 |
|
|
Autore |
Guo Zhaoli |
|
|
Titolo |
Lattice Boltzmann method and its applications in engineering / / Zhaoli Guo, Huazhong University of Science and Technology, China, Chang Shu, National University of Singapore, Singapore |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Singapore ; ; Hackensack, NJ, : World Scientific, c2013 |
|
New Jersey : , : World Scientfic, , [2013] |
|
�2013 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (xiii, 404 pages) : illustrations (some color) |
|
|
|
|
|
|
Collana |
|
Advances in computational fluid dynamics ; ; vol. 3 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Lattice Boltzmann methods |
Fluid dynamics - Mathematical models |
Mechanics, Applied - Mathematical models |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references (p. 373-396) and index. |
|
|
|
|
|
|
|
|
|
|
|
Nota di contenuto |
|
Dedication; Preface; Contents; Chapter 1 Introduction; 1.1 Description of Fluid System at Different Scales; 1.1.1 Microscopic description: molecular dynamics; 1.1.2 Mesoscopic description: kinetic theory; 1.1.3 Macroscopic description: hydrodynamic equations; 1.2 Numerical Methods for Fluid Flows; 1.3 History of LBE; 1.3.1 Lattice gas automata; 1.3.2 From LGA to LBE; 1.3.3 From continuous Boltzmann equation to LBE; 1.4 Basic Models of LBE; 1.4.1 LBGK models; 1.4.2 From LBE to the Navier-Stokes equations: Chapman-Enskog expansion; 1.4.3 LBE models with multiple relaxation times; 1.5 Summary |
Chapter 2 Initial and Boundary Conditions for Lattice Boltzmann Method2.1 Initial Conditions; 2.1.1 Equilibrium scheme; 2.1.2 Non-equilibrium scheme; 2.1.3 Iterative method; 2.2 Boundary Conditions for Flat Walls; 2.2.1 Heuristic schemes; 2.2.2 Hydrodynamic schemes; 2.2.3 Extrapolation schemes; 2.3 Boundary Conditions for Curved Walls; 2.3.1 Bounce-back schemes; 2.3.2 Fictitious equilibrium schemes; 2.3.3 Interpolation schemes; 2.3.4 Non-equilibrium extrapolation scheme; 2.4 Pressure Boundary Conditions; 2.4.1 Periodic boundary conditions; 2.4.2 Hydrodynamic schemes |
2.4.3 Extrapolation schemes2.5 Summary; Chapter 3 Improved Lattice Boltzmann Models; 3.1 Incompressible Models; 3.2 Forcing Schemes with Reduced Discrete Lattice Effects; 3.2.1 Scheme with modified equilibrium distribution function; 3.2.2 Schemes with a forcing term; 3.2.3 Analysis of the forcing schemes; 3.2.4 Forcing scheme for MRT-LBE; 3.3 LBE with Nonuniform Grids; 3.3.1 Grid-refinement and multi-block methods; 3.3.2 Interpolation methods; 3.3.3 Finite-difference based LBE methods; 3.3.4 Finite-volume based LBE methods; 3.3.5 Finite-element based LBE methods |
3.3.6 Taylor series expansion and least square based methods3.4 Accelerated LBE Methods for Steady Flows; 3.4.1 Spectrum analysis of the hydrodynamic equations of the standard LBE; 3.4.2 Time-independent methods; 3.4.3 Time-dependent methods; 3.5 Summary; Chapter 4 Sample Applications of LBE for Isothermal Flows; 4.1 Algorithm Structure of LBE; 4.2 Lid-Driven Cavity Flow; 4.3 Flow around a Fixed Circular Cylinder; 4.4 Flow around an Oscillating Circular Cylinder with a Fixed Downstream One; 4.5 Summary; Chapter 5 LBE for Low Speed Flows with Heat Transfer; 5.1 Multi-speed Models |
5.1.1 Low-order models5.1.2 High-order models; 5.2 MS-LBE Models Based on Boltzmann Equation; 5.2.1 Hermite expansion of distribution function; 5.2.2 Temperature/flow-dependent discrete velocities; 5.2.3 Temperature-dependent discrete velocities; 5.2.4 Constant discrete velocities; 5.2.5 MS-LBGK models based on DVBE with constant discrete velocities; 5.3 Off-Lattice LBE Models; 5.4 MS-LBE Models with Adjustable Prandtl Number; 5.5 DDF-LBE Models without Viscous Dissipation and Compression Work; 5.5.1 DDF-LBE based on multi-component models; 5.5.2 DDF-LBE for non-ideal gases |
5.5.3 DDF-LBE for incompressible flows |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
Lattice Boltzmann method (LBM) is a relatively new simulation technique for the modeling of complex fluid systems and has attracted interest from researchers in computational physics. Unlike the traditional CFD methods, which solve the conservation equations of macroscopic properties (i.e., mass, momentum, and energy) numerically, LBM models the fluid consisting of fictive particles, and such particles perform consecutive propagation and collision processes over a discrete lattice mesh.This book will cover the fundamental and practical application of LBM. The first part of the book consists of |
|
|
|
|
|
|
|
| |