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Statistical Mechanics of Dense Ionized Matter. II. Equilibrium Properties and Melting Transition of the Crystallized One-Component Plasma
Abstract
A study of the crystalline phase of a one-component plasma in a uniform background is reported here. Extensive Monte Carlo computations of the equilibrium properties in the classical region are presented and a value of the melting parameter ${\ensuremath{\Gamma}}_{m}=155\ifmmode\pm\else\textpm\fi{}10$ is obtained. These results are extended into the quantum region in the framework of conventional lattice dynamics to estimate the solid-fluid coexistence curve in conjunction with the Lindemann melting criterion. A preliminary investigation is made of the effect of allowing the charge neutralizing background to respond to the ionic motion and it is concluded that the melting curve will be unaffected for ions with $Z\ensuremath{\ge}2$.
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Citations
Cites
Equation of State Calculations by Fast Computing Machines
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., & Teller, E. (1953) · The Journal of Chemical Physics · doi:10.1063/1.1699114 · Cited by 37,192
On the Quantum Correction For Thermodynamic Equilibrium
Wigner, E. (1932) · Physical Review · doi:10.1103/physrev.40.749 · Cited by 9,283
Cited by
Matter in strong magnetic fields
Lai, D. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.629 · Cited by 540
Vladimirov, S. V., & Ostrikov, K. (2004) · Physics Reports · doi:10.1016/j.physrep.2003.12.003 · Cited by 332
Metadata
- Authors
- Pollock, E. L., & Hansen, J. P.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1973-12-01
- Volume
- 8
- Issue
- 6
- Pages
- 3110-3122
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W1990520531
- Cited by
- 396
- References
- 2
- FWCI
- 6.57
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Statistical Mechanics of Dense Ionized Matter. II. Equilibrium Properties and Melting Transition of the Crystallized One-Component Plasma. https://app.cochat.ai/papers/10.1103/physreva.8.3110
- The paper
- Pollock, E. L., & Hansen, J. P. (1973). Statistical Mechanics of Dense Ionized Matter. II. Equilibrium Properties and Melting Transition of the Crystallized One-Component Plasma. Physical Review A. https://doi.org/10.1103/physreva.8.3110
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