Static and Dynamical Finite-Size Scaling Theory Based on the Renormalization Group Approach
スポンサーリンク
概要
- 論文の詳細を見る
Fisher's static finite-size scaling law is derived on the basis of the renormalization group theory and it is extended to dynamic critical phenomena in a finite system. This dynamic finite-size scaling law yields a cross-over effect with respect to the size and time-region. This effect is useful in analyzing computer simulations and also in studying the scaling property of the Kondo effect near the absolute zero temperature.
- 理論物理学刊行会の論文
- 1977-10-25
著者
関連論文
- Relative Motion in Stochastic Velocity and Force Fields : Condensed Matter and Statistical Physics
- Coherent-Anomaly Method in Critical Phenomena.IV. Study of the Wave-Number-Dependent Susceptibility in the 2D Ising Model
- Hidden Orders and RVB Formation of the Four-Leg Heisenberg Ladder Model
- Phase Transition and Hidden Orders of the Heisenberg Ladder Model in the Ground State
- S=1 Antiferromagnetic Heisenberg Spin Chain with Alternating Interaction
- Real-Space Renormalization-Group Analysis of the S=2 Antiferromagnetic Heisenberg Chain
- Numerical-Diagonalization Analyses of an Effective Hamiltonian for the Haldane System
- Transfer-Matrix Calculations of the Spin 1/2 Antiferromagnetic XXZ Model on the 4×2 Triangular Lattice Using the Fractal Decomposition : General and Mathematical Physics
- Anti-inflammatory effects of sulfatides in selectin-dependent acute lung injury
- Anti Candida Activity of Induced Transferrin in Mice Immunized with Inactivated Candida albicans
- Statistical Thermodynamics of Finite Ising Model. I
- New Types of Phase Transitions in Magnetic Materials
- Coherent-Anomaly Method in Critical Phenomena.III.Mean-Field Transfer-Matrix Method in the 2D Ising Model
- Coherent Anomaly Method in Critical Phenomena.I.
- Monte Carlo Simulation and Static and Dynamic Critical Behavior of the Plane Rotator Model
- Monte Carlo Simulation of Quantum Spin Systems. I
- New Method of Monte Carlo Simulations and Phenomenological Theory of Phase Transition in the Two-Dimensional XY-Model
- Real-Space Renormalization Group Approach to Critical Dynamics : Migdal Approximation and Other New Methods
- Accurate Estimation of the Dynamical Critical Exponent of the Two-Dimensional Kinetic Ising Model Based on the Ising Machine m-TIS
- Effective Exclusive Volume for Hard-Core Systems in the Liquid Region
- Critical Line of Two-Dimensional Spin-1/2 Pair-Product Heisenberg Model : Progress Letters
- Study on Phase Transitions of Antiferromagnetic Ising Models Using the Coherent-Anomaly Method
- Ground-State Properties and Phase Diagram of the Quantum XXZ Antiferromagnet on a Triangular Lattice
- Study of Coherent Anomalies and Critical Exponents Based on High-Level Cluster-Variation Approximations
- Higher Order Criteria on the Continuous Phase Transition
- 1a-E-1 MEAN-FIELD APPROXIMATION : STILL INTERESTING
- Exact Critical Temperature by Mean-Field Approximation
- Monte Carlo Simulation of Quantum Heisenberg Magnets on the Triangular Lattice
- CAM Analysis of Dimensionality Crossover
- CAM Analysis of Dimensionality Crossover
- Lee-Yang Complex-Field Systems and Frustrated Ising Models
- The ST-Transformation Approach to Analytic Solutions of Quantum Systems. II : Transfer-Matrix and Pfaffian Methods : Condensed Matter and Statistical Physics
- Correlation Length of the S=2 Antiferromagnetic Heisenberg Chain
- General Nonsymmetric Higher-Order Decomposition of Exponential Operators and Symplectic Integrators
- Super-Effective-Field Theory,General Criterion of Order Parameters and Exotic Phase Transitions
- Dynamics of the Two-Dimensional Finite Heisenberg Model
- Reentrant Phenomena in Some Ising Spin Systems-Rigorous Results and Effects of an External Field-
- Frustration and Clusters in Spin Glasses : Study on the Low Temperature Phase of the ±J Model
- Monte Carlo Study of the Spontaneous Magnetization of the Three-Dimensional Ising Model
- Super-Effective-Field Theory of Scalar Chiral Orders in the Two-Dimensional Heisenberg Model
- Chiral Phase Transition of Planar Antiferromagnets Analyzed by the Super-Effective-Field Theory
- CAM Approach to Correlation Function of Quantum Spin Chain in the Ground State
- Monte Carlo Study of the Three-Dimensional ±-J Ising Spin-Glass Model in a Magnetic Field
- Coherent Anomaly Method in Critical Phenomena.II.Applications to the Two-and Three-Dimensional Ising Models
- Vector Chiral Order in the Quantum XXZ Antiferromagnet on a Triangular Lattice Analyzed with the Super-Effective-Field Theory
- Continued-Fraction CAM Theory
- Coherent-Anomaly Method in Critical Phenomena.V. Estimation of the Dynamical Critical Exponent Δ of the Two-Dimensional Kinetic Ising Model
- Canonical Series of Exactly Solvable Models for the CAM─Spontaneous Broken Symmetry of Effective Hamiltonians Based on the Confluent Transfer-Matrix Method─
- Effective Attraction and Delocalization-Localization Transition in Two-Dimensional Hard-Core Systems
- Coherent-Anomaly Analysis of Series Expansions and Its Application to the Ising Model
- Canonicality of the Double-Cluster Approximation in the CAM Theory
- Spatio-Temporal Patterns of a Plastic Network System
- New Method to Study Critical Phenomena-Mean-Field Finite-Size Scaling Theory
- Scaling Laws of the Nonlinear Part of Magnetization in the SK Model of Spin Glasses : Condensed Matter and Statistical Physics
- On the CAM Canonicality of the Cluster-Variation Approximations
- Study of Coherent Anomalies and Critical Exponents Based on the Cluster-Variation Method
- Six-Vertex Model With an Frustrated Impurity
- Ground-State Quantum Monte Carlo Method Applied to Alternating-Bond Spin Chains
- RVB States for Two-Dimensional Antiferromagnets
- Coherent Anomaly in Kosterlitz-Thouless-Type Transition in the S=1/2 XXZ Chain at the Ground State
- Critical Behavior of Isotropic Systems with Long-Range Interactions
- On the Convergence of the Trotter-Like Formula and the Finite-Trotter-Number Scaling Law in the Transverse Ising Chain
- A General Method to Evaluate Correlation Functions of Two-Dimensional Non-Uniform Ising Models : General and Mathematical Physics
- Phase Transition and Slowing Down in Non-Equilibrium Stochastic Processes
- A Simple Example of Exactly Solvable Models with Reentrant Phenomena
- Cluster-Effective-Field Study on the Ground-State Phase Diagram of the J_1-J_2 Model
- Critical Dynamics in Bose Systems
- Critical Slowing Down in Stochastic Processes. I
- Study on the Critical Properties of the One-Dimensional Quantum XXZ Model with General Spin S Using the Quantum Renormalization Group Method : Condensed Matter and Statistical Physics
- Fluctuation and Formation of Macroscopic Order in Non-Equilibrium Systems
- Topological and Ghost Interaction Methods in Equilibrium and Non-Equilibrium Systems
- Skeletonization, Fluctuating Mean-Field Approximations and Coherent Anomalies in Critical Phenomena
- Exactly Soluble Models of Quantum Systems Showing the Second Order Phase Transitions
- Phase Transition and Fractals
- Monte Carlo Simulation of Nonlinear Stochastic Processes : Noise-Induced Long-Time Tail and Its Universality : Condensed Matter and Statistical Physics
- Divergence of the Transverse Nonlinear Susceptibility along the GT Line in Heisenberg Spin Glasses : Progress Letters
- Statistical Mechanics of Non-Equilibrium Systems. III : Fluctuation and Relaxation of Quantal Macrovariables
- Solution of Potts Model for Phase Transition
- On the Nonlinear Critical Slowing Down in the Stochastic Model
- A Theory of the Second Order Phase Transitions in Spin Systems. III : Critical Behavior of Correlation Functions in Ising Ferromagnets
- On the Critical Dynamics in Bose Systems and the Time-Dependent Ginzburg-Landau Model
- Quantum Analysis and Nonequilibrium Response : Condensed Matter and Statistical Physics
- Frustration, Metastability and Nonlinear Susceptibility in Spin Glasses
- A Theory on the Critical Behaviour of Ferromagnets
- A Semi-Phenomenological Theory of the Second Order Phase Transitions in Spin Systems. I
- Coherent Anomaly and Asymptotic Method in Cooperative Phenomena
- Real-Space Renormalization Group Approach to the Kinetic Ising Model
- Statistical Mechanical Theory of Cooperative Phenomena.I.General Theory of Fluctuations,Coherent Anomalies and Scaling Exponents with Simple Applications to Critical Phenomena
- Decay and Fluctuation of a One-Dimensional Supercurrent from the Viewpoint of Nonlinear Nonequilibrium Statistical Physics
- Thermo Field Dynamics in Equilibrium and Non-Equilibrium Interacting Quantum Systems
- Statistical Mechanical Theory of Cooperative Phenomena.II.Super-Effective-Field Theory with Applications to Exotic Phase Transitions
- Classical Representation and Scaling Property of the Kondo, Hubbard and Anderson Hamiltonians, and Quantal Random Systems
- Pair-Product Model of Heisenberg Ferromagnets
- Phenomenological Theory of Spin-Glasses and Some Rigorous Results
- University and Scaling Law of Long-Time Tails in Multiplicative Stochastic Processes
- Scaling Theory of Non-Equilibrium Systems near the Instability Point. III : Continuation to Final Region and Systematic Scaling Expansion
- Dynamic Theory of Spin Glasses
- Static and Dynamical Finite-Size Scaling Theory Based on the Renormalization Group Approach
- Statistical Mechanics of Non-Equilibrium Systems. II : Extensivity, Fluctuation and Relaxation of Markoffian Macrovariables
- Quantum Analysis and Nonequilibrium Response : Condensed Matter and Statistical Physics