一维Salerno模型晶格中的热化
Thermalization in the one-dimensional Salerno model lattice
摘要：
Salerno模型是可积的Ablowitz-Ladik（AL）模型和更标准的（不可积的）离散非线性薛定谔（DNLS）模型之间的一个有趣的插值。局域就地非线性和非线性色散的竞争决定了该模型的热化。在这里，我们调查的统计力学的萨勒诺一维晶格模型在不可积的情况下，并说明热化吉布斯制度。由于参数插值之间的两个限制（从DNLS到AL）是不同的，在空间中的初始能量和范数密度导致热化的区域扩大。热化在非吉布斯制度在很大程度上取决于有限的系统大小，我们探索这一功能，通过直接数值计算不同的参数制度。
英文摘要：
The Salerno model constitutes an intriguing interpolation between the integrable Ablowitz-Ladik (AL) model and the more standard (non-integrable) discrete nonlinear Schr{ö}dinger (DNLS) one. The competition of local on-site nonlinearity and nonlinear dispersion governs the thermalization of this model. Here, we investigate the statistical mechanics of the Salerno one-dimensional lattice model in the nonintegrable case and illustrate the thermalization in the Gibbs regime. As the parameter interpolating between the two limits (from DNLS towards AL) is varied, the region in the space of initial energy and norm-densities leading to thermalization expands. The thermalization in the non-Gibbs regime heavily depends on the finite system size; we explore this feature via direct numerical computations for different parametric regimes.
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