发表机构
Minjiang Collaborative Center for Theoretical Physics, College of Physics and Electronic Information Engineering, Minjiang University; Institute of Systems Science, Department of Physics, College of Information Science and Engineering, Huaqiao University; MOE Key Laboratory of Advanced Micro-Structured Materials, China-EU Joint Laboratory for Nanophononics, Center for Phononics and Thermal Energy Science, School of Physics Science and Engineering, Tongji University（闽江大学物理与电子信息工程学院理论物理协同中心; 华侨大学信息科学与工程学院物理系系统科学研究所; 同济大学物理科学与技术学院声子学与热能科学中心中纳音子学中欧联合实验室教育部先进微结构材料重点实验室）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本综述统一阐述一维FPUT晶格中长程四次非谐耦合（幂律衰减，指数σ）对微观能量交换、集体动力学及热传导宏观标度律的影响，并区分已确立结论与争议点。
AI 中文摘要
长程（LR）相互作用不再仅仅是一个理论构想：它们可以在多种低维平台中被工程实现，并为控制热输运提供了一种新途径。同时，它们超越了主要针对短程、动量守恒晶格建立的标准图景。在本综述中，我们考虑一维Fermi-Pasta-Ulam-Tsingou（FPUT）型晶格，其中LR效应主要通过四次非谐耦合引入，该耦合以幂律衰减，由指数{\sigma}表征。我们的目标是以统一的方式解释LR非谐性如何改变微观能量交换、集体动力学以及热传导的宏观标度律，同时阐明哪些是已确立的结论，哪些仍存在争议（关于摘要的更多细节，请参阅正文和论文）。
英文摘要
Long-range (LR) interactions are no longer just a theoretical idea: they can be engineered in several low-dimensional platforms and offer a new way to control heat transport. At the same time, they push beyond the standard picture developed mainly for short-range, momentum-conserving lattices. In this review, we consider one-dimensional Fermi-Pasta-Ulam-Tsingou (FPUT)-type lattices where LR effects enter mainly through a quartic anharmonic coupling that decays as a power law, characterized by an exponent σ. Our goal is to explain, in a unified way, how LR anharmonicity changes microscopic energy exchange, collective dynamics, and the macroscopic scaling laws of heat conduction-while also clarifying what is well established and what is still debated (For more details of the abstract, please see the main text and paper).
Comments28 pages
Journal refActa Phys. Sin., 2026, 75(7): 070002
