利用随机软壁台球设计吸能异向材料
Design of energy absorbing metamaterials using stochastic soft-wall billiards
摘要：
本文讨论了设计具有吸能和导波性能的人工材料的物理原理。这个想法是将轻粒子插入弹性耦合势阱的晶格中，代表所谓的随机台球的软壁版本。前面考虑过一个平面情形，即用一个线弹性弹簧将单个势阱连接到基底上，并包括一个或几个小粒子。在这里，我们分析了在一个一维晶格的三维势阱与轻粒子内的波的演化。通过指定对应于传播波的初始条件，我们发现，波可以通过增加粒子的质量而迅速被破坏，而某些形状的潜在容器通过增加晶格的温度提供了从容器链到混沌运动粒子的准单向能量流。
英文摘要：
Physical principles for designing artificial materials with energy absorbing and wave guiding properties are discussed in the present work. The idea is to insert light particles in a lattice of elastically coupled potential wells representing soft-wall versions of the so-called stochastic billiards. A planar case of a single potential well attached to the base with a linearly elastic spring and including one or few small particles was considered earlier. Here, we analyze the evolution of waves in a one-dimensional lattice of 3D potential wells with light particles inside. By assigning the initial conditions corresponding to propagating waves we found that the waves can be quickly destroyed by increasing the mass of particles while certain shapes of the potential containers provide a quasi-one-directional energy flow from the chain of containers into the chaotically moving particles by increasing the temperature of the lattice.
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