Shock-induced phase transition in systems of hard spheres with internal degrees of freedom.
Shock-induced phase transition in systems of hard spheres with internal degrees of freedom.
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DOI：
10.1103/physreve.81.066307
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发表时间：
2010-06
期刊：
影响因子：
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通讯作者：
S. Taniguchi;A. Mentrelli;N. Zhao;T. Ruggeri;M. Sugiyama
中科院分区：
文献类型：
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作者：
S. Taniguchi;A. Mentrelli;N. Zhao;T. Ruggeri;M. Sugiyama
在具有内自由度的硬球系统的欧拉方程系统的基础上，对激波和激波引起的相变进行了理论和数值研究。首先，选取液相中的非摄动状态（激波前状态），研究Rankine-Hugoniot条件，并根据摄动状态（激波后状态）的相位对其解进行分类，在一定条件下可能发生激波诱导的相变。在这方面，内部自由度的重要作用得到了明确的体现。其次，利用Liu在双曲系统理论中的结果，研究了激波的容许性（稳定性）问题。结果表明，即使扰动状态是热力学稳定的，激波的另一种不稳定性也可能存在。为了证实在容许激波情况下的理论结果和得到在不容许激波（激波分裂现象）情况下的波廓线的实际演变，进行了数值计算。
Shock waves and shock-induced phase transitions are theoretically and numerically studied on the basis of the system of Euler equations with caloric and thermal equations of state for a system of hard spheres with internal degrees of freedom. First, by choosing the unperturbed state (the state before the shock wave) in the liquid phase, the Rankine-Hugoniot conditions are studied and their solutions are classified on the basis of the phase of the perturbed state (the state after the shock wave), being a shock-induced phase transition possible under certain conditions. With this regard, the important role of the internal degrees of freedom is shown explicitly. Second, the admissibility (stability) of shock waves is studied by means of the results obtained by Liu in the theory of hyperbolic systems. It is shown that another type of instability of a shock wave can exist even though the perturbed state is thermodynamically stable. Numerical calculations have been performed in order to confirm the theoretical results in the case of admissible shocks and to obtain the actual evolution of the wave profiles in the case of inadmissible shocks (shock splitting phenomena).