Numerical Methods in the Study of Critical Phenomena [E-Book] : Proceedings of a Colloquium, Carry-le-Rouet, France, June 2–4, 1980 / edited by Jean Della Dora, Jacques Demongeot, Bernard Lacolle.
This volume contains most of the lectures presented at the meeting held in Carry-le nd Rouet from the 2 to the 4th June 1980 and entitled "Numerical Methods in the Study of Critical Phenomena". Scientific subjects are becoming increasingly differentiated, and the number of journals and me...
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Full text |
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Personal Name(s): | Demongeot, Jacques, editor |
Dora, Jean Della, editor / Lacolle, Bernard, editor | |
Imprint: |
Berlin, Heidelberg :
Springer,
1981
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Physical Description: |
X, 272 p. online resource. |
Note: |
englisch |
ISBN: |
9783642817038 |
DOI: |
10.1007/978-3-642-81703-8 |
Series Title: |
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Springer Series in Synergetics ;
9 |
Subject (LOC): |
- 1. Mathematical Methods
- 1.1 Study of Singularities
- Padé-Hermite Approximants
- Somme Comments About the Numerical Utilization of Factorial Series
- to Real Quasianalytic Classes and Continuation Problems
- 1.2 Critical Phenomena in Dynamical Systems
- Groups Transformations and Critical Asymptotics Applications to Non-Linear Differential and Partial Derivative Equations
- Antecedent Invariant Curves of an Endomorphism. Influence Domain of a Stable Cycle Coexisting with an Isolated Stable Invariant Curve
- Topological Entropy As a Measure of Dynamic Chaos in Endomorphisms
- Topological Entropy of Markov Processes for a C0-Endomorphism of the Interval
- Sequential Iteration of Threshold Functions
- Some Properties of Second Order Dynamic Systems with Parametric Resonances
- 2. Applications in Physics
- 2.1 Critical Phenomena in Solid-State Physics
- On the Bifurcation of Certain Kam Tori in the Standard Mapping
- MO Stochasticity Criterion
- Singularities in Saw Numerical Simulations
- Monte Carlo Measurement of the Single Vortex Free Energy in the Kosterlitz-Thouless Theory
- Algebraic Method for the Computation of the Partition Functions of Spin Glasses and Numerical Study of the Distributions of Zeros
- Percolation and Gelation by Additive Polymerization
- Ground State Structure of the Random Frustration Model in Two Dimensions
- Line Defects and the Glass Transition
- Universality in Size-Effects in 2D Percolation
- 2.2 Use of Renormalisation Techniques
- The Phenomenological Renormalization Method
- Computation of the Yang-Lee Edge Singularity in Ising Models
- Real-Space Renormalization-Group Method for Quantum Systems: Application to Quantum Frustration in Two Dimensions
- Yang-Lee Edge Singularity by Real Space Renormalization Group
- 3. Applications in Biology
- Numerical Determination of a Periodical Solution of Discontinuous Type, near a Singular Point, for a Neurophysiological Model
- On the Relation Between the Logical Structure of Systems and Their Ability to Generate Multiple Steady States or Sustained Oscillations
- Critical Delays in Logical Asynchronous Models
- 4. Applications in Chemistry
- A Simulation Technique for Studying Critical Properties of Chemical Dissipative Systems
- Critical Paths and Passes: Application to Quantum Chemistry
- 5. Non-Physical Applications of Statistical Mechanics
- Telephone Network: Statistical Mechanics and Non-Random Connecting Procedures
- The Thermodynamic Formalism in Population Biology
- Asymptotic Inference for Markov Random Fields on Zd
- List of Contributors.