论文标题

多相晶格玻尔茨曼的亚稳态和不稳定的动力学

Metastable and Unstable Dynamics in multi-phase lattice Boltzmann

论文作者

Lulli, Matteo, Biferale, Luca, Falcucci, Giacomo, Sbragaglia, Mauro, Yang, Dong, Shan, Xiaowen

论文摘要

我们定量地表征了多相晶格玻尔兹曼模型中的亚竞争力。理论上获得密度波动的结构因子,并在数值上以高精度进行数值验证,对于所有模拟波形媒介和降低温度。当温度接近临界点或密度在亚临界温度下接近旋转线时,发现静态结构因子始终存在。在两种情况下,都观察到理论上预测的关键指数。最后,不稳定分支中的相位分​​离遵循相同的模式,即具有不同拓扑的界面的产生,如分子动力学模拟中所观察到的那样。所有结果都可以通过``Idea.deploy''框架独立复制https://github.com/lullimat/idea.deploy

We quantitatively characterize the metastability in a multi-phase lattice Boltzmann model. The structure factor of density fluctuations is theoretically obtained and numerically verified to a high precision, for all simulated wave-vectors and reduced temperatures. The static structure factor is found to consistently diverge as the temperature approaches the critical-point or the density approaches the spinodal line at a sub-critical temperature. Theoretically predicted critical exponents are observed in both cases. Finally, the phase separation in the unstable branch follows the same pattern, i.e. the generation of interfaces with different topology, as observed in molecular dynamics simulations. All results can be independently reproduced through the ``idea.deploy" framework https://github.com/lullimat/idea.deploy

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