# Critical point of gas-liquid type phase transition and phase equilibrium functions in developed two-component plasma model

## Abstract

A two-component plasma model, which we called a “shelf Coulomb” model has been developed in this work. A Monte Carlo study has been undertaken to calculate equations of state, pair distribution functions, internal energies, and other thermodynamics properties. A canonical NVT ensemble with periodic boundary conditions was used. The motivation behind the model is also discussed in this work. The “shelf Coulomb” model can be compared to classical two-component (electron-proton) model where charges with zero size interact via a classical Coulomb law. With important difference for interaction of opposite charges: electrons and protons interact via the Coulomb law for large distances between particles, while interaction potential is cut off on small distances. The cut off distance is defined by an arbitrary ε parameter, which depends on system temperature. All the thermodynamics properties of the model depend on dimensionless parameters ε and γ = βe{sup 2}n{sup 1/3} (where β = 1/k{sub B}T, n is the particle's density, k{sub B} is the Boltzmann constant, and T is the temperature) only. In addition, it has been shown that the virial theorem works in this model. All the calculations were carried over a wide range of dimensionless ε and γ parameters in order tomore »

- Authors:

- Joint Institute for High Temperature of Russian Academy of Science, 125412, Russia, Moscow, Izhorskaya str. 13/2 (Russian Federation)
- (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22308779

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Chemical Physics; Journal Volume: 141; Journal Issue: 2; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; DENSITY; DISTRIBUTION FUNCTIONS; ELECTRONS; EQUATIONS OF STATE; INTERACTIONS; LIQUIDS; MONTE CARLO METHOD; PARTICLES; PHASE TRANSFORMATIONS; PLASMA; PROTONS

### Citation Formats

```
Butlitsky, M. A., Zelener, B. V., Zelener, B. B., and Moscow Engineering Physics Institute, 115409, Russia, Moscow, Kashirskoe sh. 31.
```*Critical point of gas-liquid type phase transition and phase equilibrium functions in developed two-component plasma model*. United States: N. p., 2014.
Web. doi:10.1063/1.4886403.

```
Butlitsky, M. A., Zelener, B. V., Zelener, B. B., & Moscow Engineering Physics Institute, 115409, Russia, Moscow, Kashirskoe sh. 31.
```*Critical point of gas-liquid type phase transition and phase equilibrium functions in developed two-component plasma model*. United States. doi:10.1063/1.4886403.

```
Butlitsky, M. A., Zelener, B. V., Zelener, B. B., and Moscow Engineering Physics Institute, 115409, Russia, Moscow, Kashirskoe sh. 31. Mon .
"Critical point of gas-liquid type phase transition and phase equilibrium functions in developed two-component plasma model". United States.
doi:10.1063/1.4886403.
```

```
@article{osti_22308779,
```

title = {Critical point of gas-liquid type phase transition and phase equilibrium functions in developed two-component plasma model},

author = {Butlitsky, M. A. and Zelener, B. V. and Zelener, B. B. and Moscow Engineering Physics Institute, 115409, Russia, Moscow, Kashirskoe sh. 31},

abstractNote = {A two-component plasma model, which we called a “shelf Coulomb” model has been developed in this work. A Monte Carlo study has been undertaken to calculate equations of state, pair distribution functions, internal energies, and other thermodynamics properties. A canonical NVT ensemble with periodic boundary conditions was used. The motivation behind the model is also discussed in this work. The “shelf Coulomb” model can be compared to classical two-component (electron-proton) model where charges with zero size interact via a classical Coulomb law. With important difference for interaction of opposite charges: electrons and protons interact via the Coulomb law for large distances between particles, while interaction potential is cut off on small distances. The cut off distance is defined by an arbitrary ε parameter, which depends on system temperature. All the thermodynamics properties of the model depend on dimensionless parameters ε and γ = βe{sup 2}n{sup 1/3} (where β = 1/k{sub B}T, n is the particle's density, k{sub B} is the Boltzmann constant, and T is the temperature) only. In addition, it has been shown that the virial theorem works in this model. All the calculations were carried over a wide range of dimensionless ε and γ parameters in order to find the phase transition region, critical point, spinodal, and binodal lines of a model system. The system is observed to undergo a first order gas-liquid type phase transition with the critical point being in the vicinity of ε{sub crit}≈13(T{sub crit}{sup *}≈0.076),γ{sub crit}≈1.8(v{sub crit}{sup *}≈0.17),P{sub crit}{sup *}≈0.39, where specific volume v* = 1/γ{sup 3} and reduced temperature T{sup *} = ε{sup −1}.},

doi = {10.1063/1.4886403},

journal = {Journal of Chemical Physics},

number = 2,

volume = 141,

place = {United States},

year = {Mon Jul 14 00:00:00 EDT 2014},

month = {Mon Jul 14 00:00:00 EDT 2014}

}