Path integral Monte Carlo calculation of the deuterium Hugoniot

被引：247

作者：

Militzer, B ^{[1
]}

Ceperley, DM ^{[1
]}

机构：

[1] Univ Illinois, Natl Ctr Supercomp Applicat, Dept Phys, Urbana, IL 61801 USA

来源：

PHYSICAL REVIEW LETTERS | 2000年 / 85卷 / 09期

关键词：

D O I：

10.1103/PhysRevLett.85.1890

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Restricted path integral Monte Carlo simulations have been used to calculate the equilibrium properties of deuterium for two densities: 0.674 and 0.838 g cm(-3) (r(s) = 2.00 and 1.86) in the temperature range of 10(5) less than or equal to T less than or equal to 10(6) K. We carefully assess size effects and dependence on the time step of the path integral. Further, we compare the results obtained with a free particle nodal restriction with those from a self-consistent variational principle, which includes interactions and bound states. By using the calculated internal energies and pressures, we determine the shock Hugoniot and compare with recent laser shock wave experiments as well as other theories.

引用

页码：1890 / 1893

页数：4

共 19 条

[11] Density-functional calculation of the Hugoniot of shocked liquid deuterium [J].

Lenosky, TJ ;

Bickham, SR ;

Kress, JD ;

Collins, LA .

PHYSICAL REVIEW B, 2000, 61 (01) :1-4

[12] Molecular dissociation in hot, dense hydrogen [J].

Magro, WR ;

Ceperley, DM ;

Pierleoni, C ;

Bernu, B .

PHYSICAL REVIEW LETTERS, 1996, 76 (08) :1240-1243

[13] Variational density matrix method for warm, condensed matter: Application to dense hydrogen [J].

Militzer, B ;

Pollock, EL .

PHYSICAL REVIEW E, 2000, 61 (04) :3470-3482

[14] Characterization of the state of hydrogen at high temperature and density [J].

Militzer, B ;

Magro, W ;

Ceperley, D .

CONTRIBUTIONS TO PLASMA PHYSICS, 1999, 39 (1-2) :151-154

[15] EQUATION-OF-STATE DATA FOR MOLECULAR-HYDROGEN AND DEUTERIUM AT SHOCK PRESSURES IN THE RANGE 2-76 GPA (20-760 KBAR) [J].

NELLIS, WJ ;

MITCHELL, AC ;

VANTHIEL, M ;

DEVINE, GJ ;

TRAINOR, RJ ;

BROWN, N .

JOURNAL OF CHEMICAL PHYSICS, 1983, 79 (03) :1480-1486

[16] EQUATION OF STATE OF THE HYDROGEN PLASMA BY PATH-INTEGRAL MONTE-CARLO SIMULATION [J].

PIERLEONI, C ;

CEPERLEY, DM ;

BERNU, B ;

MAGRO, WR .

PHYSICAL REVIEW LETTERS, 1994, 73 (16) :2145-2149

[17] Linear-mixing model for shock-compressed liquid deuterium [J].

Ross, M .

PHYSICAL REVIEW B, 1998, 58 (02) :669-677

[18] AN EQUATION OF STATE FOR LOW-MASS STARS AND GIANT PLANETS [J].

SAUMON, D ;

CHABRIER, G ;

VANHORN, HM .

ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES, 1995, 99 (02) :713-741

[19]

ZELDOVICH YB, 1966, PHSYICS SHOCK WAVES

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