Spin- Ising model by the cluster variation method and the path probability method

2006 ◽  
Vol 363 (2) ◽  
pp. 315-326 ◽  
Author(s):  
O. Canko ◽  
M. Keskin
Keyword(s):  
Ising Model ◽  
Cluster Variation Method ◽  
Variation Method ◽  
Probability Method ◽  
Cluster Variation ◽  
Path Probability Method

Multi-Scale Phase Field Simulation of Disorder-Order Transition, Combined with Cluster Variation and Path Probability Methods

2009 ◽  
Vol 631-632 ◽  
pp. 401-406
Author(s):  
Munekazu Ohno ◽  
Ying Chen ◽  
Tetsuo Mohri
Keyword(s):  
Phase Field ◽  
Cluster Variation Method ◽  
Field Method ◽  
Phase Field Method ◽  
Variation Method ◽  
Probability Method ◽  
Multi Scale ◽  
Probability Methods ◽  
Cluster Variation ◽  
Path Probability Method

Multi-scale simulation of ordering process from electronic, atomistic scales to microstructural scale was carried out by hybridizing Phase Field Method (PFM) and Cluster Variation Method (CVM). The hybrid model was applied to disorder-L10 ordering process in Fe-Pd system. Furthermore, computation of relaxation constants in the PFM was attempted based on Path Probability Method (PPM) which is the time evolution version of the CVM, within a linearized analysis of order-order relaxation process.

Theoretical Study of Glass Transition Based on Cluster Variation Method

2007 ◽  
Vol 539-543 ◽  
pp. 2425-2430 ◽  
Author(s):  
Tetsuo Mohri ◽  
Yoshitaka Kobayashi
Keyword(s):  
Free Energy ◽  
Glass Transition ◽  
Order Parameter ◽  
Cluster Variation Method ◽  
Variation Method ◽  
Bravais Lattice ◽  
Probability Method ◽  
Temperature Dependent Viscosity ◽  
Viscosity Term ◽  
Cluster Variation

Modeling of Glass transition is attempted based on the Cluster Variation Method. Free energy functional of an L10 ordered phase is employed to describe the first order nature of the transition. Free energy contour surface calculated as a function of temperature and an order parameter which simulates an amount of defects provides a generalized stability diagram in which the ideal glass transition temperature is identified as a critical point. Transition kinetics is investigated by Path Probability Method which is the kinetics version of the CVM to time domain. Continuous cooling behavior is calculated by explicitly incorporating the temperature dependent viscosity term based on VFT (Vogel-Fulcher-Tamman) formula. The glass transition is realized as the freezing of the order parameter due to the enhanced viscosity. The extension of the present theoretical scheme to non-Bravais lattice is attempted by Continuous Cluster Variation Method.

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