论文标题
可集成性从反向散射中损坏
Integrability breaking from backscattering
论文作者
论文摘要
我们分析了受随机反向散射的一维硬杆气体中扩散流体力学的发作。尽管这种扰动破坏了整合性并导致从弹道到扩散运输的交叉，但它保留了无限的许多保守量，对应于气体的速度分布的偶数。在小噪声的极限中，我们得出了扩散和结构因子矩阵的精确表达式，并表明它们在存在相互作用的情况下通常具有非对基因分量。我们发现粒子密度结构因子是非高斯和奇异的，其返回概率显示出与扩散的对数偏差。
We analyze the onset of diffusive hydrodynamics in the one-dimensional hard-rod gas subject to stochastic backscattering. While this perturbation breaks integrability and leads to a crossover from ballistic to diffusive transport, it preserves infinitely many conserved quantities corresponding to even moments of the velocity distribution of the gas. In the limit of small noise, we derive the exact expressions for the diffusion and structure factor matrices, and show that they generically have off-diagonal components in the presence of interactions. We find that the particle density structure factor is non-Gaussian and singular near the origin, with a return probability showing logarithmic deviations from diffusion.
