### Abstract

A coarsened model for a binary system with limited miscibility of components is proposed; the system is described in terms of structural states in small parts of the material. The material is assumed to have two alternative types of crystalline local arrangements associated with two components of the alloy. Fluctuating characteristics of a cluster are the type and the space orientation of its crystalline arrangement. There are two different phase transitions in the model system, an orientation order-disorder transition representing melting, and a phase transition between phases differing in concentration of components. Depending on the parameters characterizing the interaction in the system, this last transition may take place both in the crystalline and in the amorphous (molten) phase. A special approximation is used to study the thermodynamics of the system. The calculated phase diagram describes, at least qualitatively, the most important features of a binary system.

Original language | English |
---|---|

Pages (from-to) | 305-322 |

Number of pages | 18 |

Journal | Physica A: Statistical Mechanics and its Applications |

Volume | 248 |

Issue number | 3-4 |

Publication status | Published - Jan 15 1998 |

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### Keywords

- Alloys
- Local structure
- Melting
- Phase equilibrium

### ASJC Scopus subject areas

- Mathematical Physics
- Statistical and Nonlinear Physics

### Cite this

*Physica A: Statistical Mechanics and its Applications*,

*248*(3-4), 305-322.

**Modeling melting in binary systems.** / Son, L. D.; Rusakov, G. M.; Patashinski, A. Z.; Ratner, Mark A.

Research output: Contribution to journal › Article

*Physica A: Statistical Mechanics and its Applications*, vol. 248, no. 3-4, pp. 305-322.

}

TY - JOUR

T1 - Modeling melting in binary systems

AU - Son, L. D.

AU - Rusakov, G. M.

AU - Patashinski, A. Z.

AU - Ratner, Mark A

PY - 1998/1/15

Y1 - 1998/1/15

N2 - A coarsened model for a binary system with limited miscibility of components is proposed; the system is described in terms of structural states in small parts of the material. The material is assumed to have two alternative types of crystalline local arrangements associated with two components of the alloy. Fluctuating characteristics of a cluster are the type and the space orientation of its crystalline arrangement. There are two different phase transitions in the model system, an orientation order-disorder transition representing melting, and a phase transition between phases differing in concentration of components. Depending on the parameters characterizing the interaction in the system, this last transition may take place both in the crystalline and in the amorphous (molten) phase. A special approximation is used to study the thermodynamics of the system. The calculated phase diagram describes, at least qualitatively, the most important features of a binary system.

AB - A coarsened model for a binary system with limited miscibility of components is proposed; the system is described in terms of structural states in small parts of the material. The material is assumed to have two alternative types of crystalline local arrangements associated with two components of the alloy. Fluctuating characteristics of a cluster are the type and the space orientation of its crystalline arrangement. There are two different phase transitions in the model system, an orientation order-disorder transition representing melting, and a phase transition between phases differing in concentration of components. Depending on the parameters characterizing the interaction in the system, this last transition may take place both in the crystalline and in the amorphous (molten) phase. A special approximation is used to study the thermodynamics of the system. The calculated phase diagram describes, at least qualitatively, the most important features of a binary system.

KW - Alloys

KW - Local structure

KW - Melting

KW - Phase equilibrium

UR - http://www.scopus.com/inward/record.url?scp=0031677824&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031677824&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031677824

VL - 248

SP - 305

EP - 322

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 3-4

ER -