Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Coupled modified baker's transformations for the Ising model.

H Sakaguchi1

  • 1Department of Applied Science for Electronics and Materials, Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Kasuga, Fukuoka 816-8580, Japan.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Plasma cfDNA analysis of alectinib resistance-related gene alterations in the J-ALEX study.

ESMO open·2025
Same author

Dominance of Tensor Correlations in High-Momentum Nucleon Pairs Studied by (p,pd) Reaction.

Physical review letters·2019
Same author

Evidence for prevalent Z = 6 magic number in neutron-rich carbon isotopes.

Nature communications·2018
Same author

Effects of the ether oxygen atom in alkyl side chains on the physical properties of piperidinium ionic liquids.

Faraday discussions·2017
Same author

Potential utility of pulsed-wave Doppler for prenatal diagnosis of fetal ventricular tachycardia secondary to long QT syndrome.

Ultrasound in obstetrics & gynecology : the official journal of the International Society of Ultrasound in Obstetrics and Gynecology·2017
Same author

Genomic determinants of chronic myelomonocytic leukemia.

Leukemia·2017
Same journal

Efficient Monte Carlo simulations using a shuffled nested Weyl sequence random number generator.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Spatiotemporal dynamics of electromagnetic pulses in saturating nonlinear optical media with normal group velocity dispersion.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Soliton-breather reaction pathways.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Electromagnetic convective cells in a nonuniform dusty plasma.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Stability of neural networks and solitons of field theory.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
See all related articles

This study introduces an invertible coupled map lattice for the Ising model, using a modified baker's transformation. It demonstrates how spin variable evolution can be tracked through the Y variable's binary representation for temporal entropy and correlation analysis.

Area of Science:

  • Statistical Physics
  • Complex Systems
  • Computational Physics

Background:

  • The Ising model is a fundamental model in statistical physics for studying magnetism.
  • Coupled map lattices offer a framework for modeling complex spatio-temporal dynamics.
  • Understanding spin dynamics and their statistical properties is crucial in condensed matter physics.

Purpose of the Study:

  • To propose a novel invertible coupled map lattice for simulating the Ising model.
  • To develop a method for encoding spin variable time evolution within the lattice dynamics.
  • To enable the calculation of temporal entropy and time correlations from the lattice configurations.

Main Methods:

  • A modified baker's transformation serves as the elemental map in the lattice.

Related Experiment Videos

  • The Y variable in the two-dimensional map stores the binary representation of the spin variable's history.
  • Temporal entropy and time correlation are computed using snapshots of the Y variables.

    • Main Results:

    • The proposed lattice is invertible, allowing for exact time-reversal of the dynamics.
    • The binary representation of the Y variable effectively memorizes the spin variable's temporal evolution.
    • The method successfully calculates temporal entropy and time correlations, providing insights into system dynamics.

    Conclusions:

    • The invertible coupled map lattice provides an effective and computationally tractable approach to studying the Ising model.
    • This framework allows for detailed analysis of spin dynamics, including memory effects and correlations.
    • The approach offers a new tool for exploring complex systems with spatio-temporal memory.