“稀疏”系统的能量吸收：超越线性响应理论
Energy absorption by "sparse" systems: beyond linear response theory
摘要：
在弱混沌或弱相互作用系统的情况下，对驱动响应的分析应该超越线性响应理论。由于扰动矩阵的“稀疏性”，能级之间跃迁的电阻网络图是必不可少的。Kubo公式被修改，用“电阻网络”平均值代替平方矩阵元素的“代数”平均值。因此，响应变为半线性而不是线性。在两个原型问题的背景下，已经获得了一些新的结果：在台球与振动壁的粒子的加热速率;和由电动势驱动的介观环的欧姆焦耳电导。将所得结果分别与“Wall公式”和“Drude公式”进行了对比。
英文摘要：
The analysis of the response to driving in the case of weakly chaotic or weakly interacting systems should go beyond linear response theory. Due to the "sparsity" of the perturbation matrix, a resistor network picture of transitions between energy levels is essential. The Kubo formula is modified, replacing the "algebraic" average over the squared matrix elements by a "resistor network" average. Consequently the response becomes semi-linear rather than linear. Some novel results have been obtained in the context of two prototype problems: the heating rate of particles in Billiards with vibrating walls; and the Ohmic Joule conductance of mesoscopic rings driven by electromotive force. Respectively, the obtained results are contrasted with the "Wall formula" and the "Drude formula".
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
