Abstract
A generalization of the “single-momentum” approach to the calculation of the Wigner function of a quantum canonical ensemble is made. A Monte Carlo method is developed for calculating the thermodynamic properties of multicomponent fermion systems. The momentum distribution functions, the internal energy, the equation of state, and the pair-correlation functions of hydrogen plasma under the conditions of strong nonideality and moderate degeneracy are calculated.
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REFERENCES
Fortov, V.E. Ekstremal’nye sostoyaniya veshchestva (Extreme States of Matter), Moscow: Fizmatlit, 2009.
Klingshirn, C.F., Semiconductor Optics, Berlin: Springer, 2012.
Eletskii, A.V., Starostin, A.N., and Taran, M.D., Phys.—Usp., 2005, vol. 48, no. 3, p. 281.
Militzer, B. and Ceperley, D., Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2011, vol. 63, 066404.
Filinov, V.S., Fortov, V.E., Bonitz, M., and Levashov, P.R., JETP Lett., 2001, vol. 74, p. 384.
Dornheim, T., Groth, S., Filinov, A., and Bonitz, M., New J. Phys., 2015, vol. 17, 073017.
Wigner, E., Phys. Rev., 1932, vol. 40, p. 749.
Zav’yalov, O.I. and Malokostov, A.M., Theor. Mat. Phys., 1999, vol. 119, no. 1, p. 448.
Larkin, A.S. and Filinov, V.S., Phys. Lett. A, 2013, vol. 377, p. 1171.
Larkin, A.S. and Filinov, V.S., Phys. Lett. A, 2014, vol. 378, p. 1876.
Sellier, J. and Dimov, I., J. Comput. Phys., 2015, vol. 280, p. 1096.
Filinov, V.S., Ivanov, Yu.B., Fortov, V.E., Bonitz, M., and Levashov, P.R., Phys. Lett. A, 2012, vol. 376, p. 1096.
Filinov, V.S., Bonitz, M., Ivanov, Yu.B., Ilgenfritz, E.-M., and Fortov, V.E., Plasma Phys. Controlled Fusion, 2015, vol. 57, 044004.
Larkin, A.S. and Filinov, V.S., Contrib. Plasma Phys, 2018, vol. 58, p. 107.
Larkin, A.S. and Filinov, V.S., Math. Montisnigri, 2017, vol. 40, p. 55.
Larkin, A.S., Filinov, V.S., and Fortov, V.E., J. Phys. A: Math. Theor., 2017, vol. 51, 035002.
Larkin, A.S. and Filinov, V.S., J. Appl. Math. Phys., 2017, vol. 5, p. 392.
Hastings, W.K., Biometrika, 1970, vol. 57, no. 1, p. 97.
Filinov, A.V., Golubnychiy, V.O., Bonitz, M., Ebeling, W., and Dufty, J.W., Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2004, vol. 70, 046411.
Ebeling, W., Fortov, V.E., and Filinov, V.S., Quantum Statistics of Dense Gases and Nonideal Plasmas, Berlin: Springer, 2017.
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This work was supported by the Russian Foundation for Basic Research (project no. 18-32-00282).
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Translated by L. Mosina
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Larkin, A.S., Filinov, V.S. Monte Carlo Simulation of the Thermodynamic Properties of Hydrogen Plasma with the Wigner Function. High Temp 57, 609–616 (2019). https://doi.org/10.1134/S0018151X19050080
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DOI: https://doi.org/10.1134/S0018151X19050080