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Persistence of supersonic periodic solutions for chains with anharmonic interaction potentials between neighbours and next to nearest neighbours

机译:邻居与邻近邻居之间具有非谐相互作用势的链的超音速周期解的持久性

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摘要

We consider an infinite chain of particles with nearest neighbour (NN) and next to nearest neighbour (NNN) being coupled by nonlinear springs. To mimic the Lennard-Jones potential, the NN and NNN springs act against each other. We prove that in contrast to the NN interaction case, there are supersonic periodic solutions.
机译:我们考虑无限大粒子链,其中最近邻居(NN)和最近邻居(NNN)被非线性弹簧耦合。为了模仿Lennard-Jones势,NN和NNN弹簧互相作用。我们证明,与NN交互情况相反,存在超音速周期解。

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