journal article·2013-12

An improvement of cluster variation method entropy functional for bcc alloys

Vikas Jindal, B. Nageswara Sarma, Shrikant Lele

Calphad· Volume 43
Publisher page

Abstract

Abstract The entropy functional in the tetrahedron approximation of the cluster variation method (CVM) for the body-centered cubic structure has been modified to yield accurate consolute temperature for a phase separating system. The improvement is achieved by a change in the multiplicity of the basic tetrahedron cluster and approximately accounts for truncation errors in the entropy functional of CVM owing to finite size of the basic cluster. We demonstrate that the phase diagram, thermodynamic properties and short range order parameters show improved agreement with more accurate results, without involving additional computational burden. Hence, the modified entropy functional could be used as a standard for CVM.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: nanoparticles nucleation surface interactions · Thermodynamic and Structural Properties of Metals and Alloys · Nuclear Materials and Properties

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (16)

Show source-provided references
1. Lukas · 2007
2. A theory of cooperative phenomena10.1103/PhysRev.81.988 ↗
3. Atomic ordering
4. Two-sided bounds on the free energy from local states in Monte Carlo simulations10.1007/BF01044436 ↗
5. Gibbs energies and chemical potentials of solid solution phases10.1143/PTPS.115.171 ↗
6. A model to compute phase diagrams in oxides with empirical or first-principles energy methods and application to the solubility limits in the CaO–MgO system10.1111/j.1151-2916.1996.tb08934.x ↗
7. Computation of configurational entropy using Monte Carlo probabilities in cluster-variation method entropy expressions10.1088/0965-0393/6/6/009 ↗
8. Evaluating and improving the cluster variation method entropy functional for Ising alloys10.1063/1.475695 ↗
9. Improved cluster-site approximation for the entropy of mixing in multicomponent solid solutions10.1103/PhysRevB.59.11221 ↗
10. Calculation of BCC phase diagram using the cluster-site approximation and first principle calculations
11. Cluster approach to order–disorder transformations in alloys10.1016/S0081-1947(08)60639-6 ↗
12. Convergence of the cluster-variation method in the thermodynamic limit10.1103/PhysRevB.27.6841 ↗
13. Reciprocal-space analysis of short-range-order intensities by the cluster-variation method10.1103/PhysRevB.51.3429 ↗
14. Hillert · 2008
15. Estimation of CE–CVM energy parameters from miscibility gap data10.1007/BF02704237 ↗
16. V. Jindal, B.N. Sarma, S. Lele, A Thermodynamic Assessment of the Cr–Mo System using CE–CVM, 10.1016/j.calphad.2013.10.003, this issue