论文标题
现场电位在耦合无序的系统中产生复杂性
On-Site Potential Creates Complexity in Systems with Disordered Coupling
论文作者
论文摘要
我们计算了一个多体系统的能量景观的临界点的平均数量$ \叠加{\ Mathcal {n}} $，具有无序的两体相互作用和弱现场潜力。我们发现，引入弱的非线性现场电位显着增加了$ \ overline {\ Mathcal {n}} $在系统大小的指数上，并为关键点的组织提供完整的图片。我们的结果将可解决的旋转玻璃模型扩展到物理上更现实的模型，并且与玻璃系统，非线性振荡器网络和多体相互作用系统相关。
We calculate the average number of critical points $\overline{\mathcal{N}}$ of the energy landscape of a many-body system with disordered two-body interactions and a weak on-site potential. We find that introducing a weak nonlinear on-site potential dramatically increases $\overline{\mathcal{N}}$ to exponential in system size and give a complete picture of the organization of critical points. Our results extend solvable spin-glass models to physically more realistic models and are of relevance to glassy systems, nonlinear oscillator networks and many-body interacting systems.
