Department of Physics, Tokyo City University, Setagaya-ku, Japan.
J Chem Phys. 2010 Jul 28;133(4):044706. doi: 10.1063/1.3458800.
The square-gradient density-functional model with triple-parabolic free energy, which was used previously to study the homogeneous bubble nucleation [M. Iwamatsu, J. Chem. Phys. 129, 104508 (2008)], is used to study the stability of the critical bubble nucleated within the bulk undersaturated stretched fluid. The stability of the bubble is studied by solving the Schrodinger equation for the fluctuation. The negative eigenvalue corresponds to the unstable growing mode of the fluctuation. Our results show that there is only one negative eigenvalue whose eigenfunction represents the fluctuation that corresponds to the isotropically growing or shrinking nucleus. In particular, this negative eigenvalue survives up to the spinodal point. Therefore, the critical bubble is not fractal or ramified near the spinodal.
之前用于研究均匀气泡成核的具有三次抛物线自由能的方梯度密度泛函模型[M. Iwamatsu, J. Chem. Phys. 129, 104508 (2008)]，被用于研究在过饱和拉伸流体本体中形成的临界气泡的稳定性。通过求解薛定谔方程来研究涨落的稳定性。负本征值对应于涨落的不稳定增长模式。我们的结果表明，只有一个负本征值，其本征函数代表与各向同性生长或收缩核对应的涨落。特别是，这个负本征值一直存在到旋节线。因此，在旋节线附近，临界气泡不是分形的或分支的。
