论文标题

部分可观测时空混沌系统的无模型预测

Isoscaling in central Sn+Sn collisions at 270 MeV/u

论文作者

Lee, J. W., Tsang, M. B., Tsang, C. Y., Wang, R., Barney, J., Estee, J., Isobe, T., Kaneko, M., Kurata-Nishimura, M., Lynch, W. G., Murakami, T., Ono, A., Souza, S. R., Ahn, D. S., Atar, L., Aumann, T., Baba, H., Boretzky, K., Brzychczyk, J., Cerizza, G., Chiga, N., Fukuda, N., Gasparic, I., Hong, B., Horvat, A., Ieki, K., Ikeno, N., Inabe, N., Jhang, G., Kim, Y. J., Kobayashi, T., Kondo, Y., Lasko, P., Lee, H. S., Leifels, Y., Łukasik, J., Manfredi, J., McIntosh, A. B., Morfouace, P., Nakamura, T., Nakatsuka, N., Nishimura, S., Otsu, H., Pawłowski, P., Pelczar, K., Rossi, D., Sakurai, H., Santamaria, C., Sato, H., Scheit, H., Shane, R., Shimizu, Y., Simon, H., Snoch, A., Sochocka, A., Sumikama, T., Suzuki, H., Suzuki, D., Takeda, H., Tangwancharoen, S., Togano, Y., Xiao, Z. G., Yennello, S. J., Zhang, Y.

论文摘要

储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。

Experimental information on fragment emissions is important in understanding the dynamics of nuclear collisions and in the development of transport model simulating heavy-ion collisions. The composition of complex fragments emitted in the heavy-ion collisions can be explained by statistical models, which assume that thermal equilibrium is achieved at collision energies below 100 MeV/u. Our new experimental data together with theoretical analyses for light particles from Sn+Sn collisions at 270 MeV/u, suggest that the hypothesis of thermal equilibrium breaks down for particles emitted with high transfer momentum. To inspect the system's properties in such limit, the scaling features of the yield ratios of particles from two systems, a neutron-rich system of ${}^{132}\mathrm{Sn}+{}^{124}\mathrm{Sn}$ and a nearly symmetric system of ${}^{108}\mathrm{Sn}+{}^{112}\mathrm{Sn}$, are examined in the framework of the statistical multifragmentation model and the antisymmetrized molecular dynamics model. The isoscaling from low energy particles agree with both models. However the observed breakdown of isoscaling for particles with high transverse momentum cannot be explained by the antisymmetrized molecular dynamics model.

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