Molecular hydrogen and deuterium under high temperature and high density conditions may undergo dissociation reaction, and thus transforms to an interacting mixture composed of molecules and atoms with complex interactions between constituent particles. In this paper, we use one-component fluid van der Waals (VDWLF) mixture approximation, in which an equivalent one-component potential is utilized to describe that compression behavior of such a mixture system in order to simplify the statistical thermodynamic treatment, and, therefore, calculate the internal energy and pressure of this system and concentration for each constituents through Helmholtz free energy minimization. The dissociation effects including temperature- and pressure-induced are studied in the density and temperature range of ρ≤0.6 g/cm3 (corresponding molar volume V≥3.3 cm3/mol) and T≤10 000 K, respectively. The calculated isothermal equations of state of hydrogen are basically in agreement with those calculated by the two-component fluid variational theory and the first principle molecular dynamics and Monte Carlo simulations. The calculated single shock and double shock Hugoniots for molecular deuterium are also in well accord with experiments. The above mentioned results demonstrate the VDWLF mixture approximation is valid for the compression behavior descriptions of hydrogen (deuterium) within the region of ρ≤0.6 g/cm3 (corresponding molar volume V≥3.3 cm3/mol) and T≤10 000 K.
| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |