Metastable and unstable states of the Blume-Capel model obtained by the cluster variation method and the path probability method

DOI10.1016/S0378-4371(00)00595-1zbMath0978.82018OpenAlexW1999715206MaRDI QIDQ5933065

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Publication date: 31 May 2001

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4371(00)00595-1

zbMATH Keywords

order parametersphase transitionsphase diagram

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (10)

Nucleation of a three-state spin model on complex networks ⋮ Thermodynamic states of the mixed spin 1/2 and spin 1 hexagonal nanotube system obtained from a eighteen-site cluster within an improved mean field approximation ⋮ The Blume-Capel model on hierarchical lattices: exact local properties ⋮ Phase diagrams and magnetization curves of the three-dimensional spin-1 Ashkin-Teller model including metastable and unstable states ⋮ Thermodynamic properties and magnetocaloric effect in dendrimer-like recursive lattice ⋮ Bethe lattice consideration of the antiferromagnetic spin-1 Ising model ⋮ Statistical mechanics of the spin-3/2 Blume-Capel model on the Bethe lattice using the recursion method ⋮ Critical properties of a spin-3/2 Ising model with bilinear and biquadratic interactions ⋮ Equilibrium and nonequilibrium behavior of the spin-1 Ising model in the quadrupolar phase ⋮ Time dependence of the weakly coupled spin-1 Ising system using the Glauber model

Cites Work

• Unnamed Item
• Metastable behavior of stochastic dynamics: A pathwise approach
• Dynamic behavior of a spin-1 Ising model. I: Relaxation of order parameters and the ``flatness property of metastable states
• Metastability and nucleation for the Blume-Capel model. Different mechanisms of transition.
• Markov chains with exponentially small transition probabilities: First exit problem from a general domain. II: The general case.
• A note on the cluster variation method.
• Cluster variation method and Möbius inversion formula

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