Deterministic Ising dynamics
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Summary
A deterministic cellular automaton rule is presented which simulates the Ising model and can make full use of multispin coding, thus permitting fast programs involving parallel processing on serial machines.
- Type
- article
- Published
- 1986-03-01
- Cited by
- 206
- References
- 18
- OpenAlex
- https://openalex.org/W2045548734
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:11975522
Keywords
Ising model, Physics, Statistical physics, Cellular automaton, Non-equilibrium thermodynamics
References
- Cellular Automata as an Alternative to (Rather than an Approximation of) Differential Equations in M
- Time‐Dependent Statistics of the Ising Model
- Experiments with a Gauge Invariant Ising System
- Microcanonical Monte Carlo Simulation
- Multi-spin coding: A very efficient technique for Monte Carlo simulations of spin systems
- Exact Results for Two- and Three-Dimensional Ising and Potts Models
- Simulating physics with cellular automata
- Two-dimensional cellular automata
- Microcanonical Renormalization Group
- Microcanonical simulation of Ising systems
- A fast algorithm for investigations on the three-dimensional Ising model
Cited by
- Theory and Applications of Cellular Automata
- Cellular Automata Transforms
- Dynamical systems of interacting units: Information transport and higher order structures
- Unconventional modelling of complex system via cellular automata and differential evolution
- Damage Spreading in a 2D Ising Model with Swendsen–Wang Dynamics
- Cellular Automata Machines
- Artificial Physics: The Soul Of A new discipline
- Mean-field cluster model for the critical behaviour of ferromagnets
- Quantum emulation of classical dynamics
- The estimation of a (kTC(p)/J,p) phase diagram for a two-dimensional site-diluted Ising model using a microcanonical algorithm
- Statistical mechanics of driven diffusive systems
- Generalized Dynamic Scaling for Critical Magnetic Systems
- Macroscopic order from reversible and stochastic lattice growth models
- Digital mechanics: an informational process based on reversible universal cellular automata
- Computer Simulations of Opinions
- Revisiting the Edge of Chaos: Evolving Cellular Automata to Perform Computations
- Grandes déviations d'exposants de Lyapunov dans les systèmes étendus
- An Algorithm-Independent Definition of Damage Spreading—Application to Directed Percolation
- A simulation of the mixed spin 3–spin 3/2 ferrimagnetic Ising model
- Efficient parallel simulations of dynamic Ising spin systems
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