Chaos in classical D0-brane mechanics
Chaos in classical D0-brane mechanics
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DOI：
10.1007/jhep02(2016)091
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发表时间：
2015-11
影响因子：
5.4
通讯作者：
Guy Gur-Ari;M. Hanada;S. Shenker
中科院分区：
文献类型：
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作者：
Guy Gur-Ari;M. Hanada;S. Shenker
研究了描述D0膜动力学的矩阵量子力学系统经典极限中的混沌。我们确定最大Lyapunov指数的精确值，并以较小的精度计算Lyapunov指数的整个谱。我们证明了当N为→∞时，这些函数逼近一个光滑极限。我们证明了在快速置乱标度t∗∼logS下发生的置乱的经典模拟。这些结果证实了Sekino和Susskind讨论的矩阵力学的k局部性。
We study chaos in the classical limit of the matrix quantum mechanical system describing D0-brane dynamics. We determine a precise value of the largest Lyapunov exponent, and, with less precision, calculate the entire spectrum of Lyapunov exponents. We verify that these approach a smooth limit as N→∞. We show that a classical analog of scrambling occurs with fast scrambling scaling, t∗∼ log S. These results confirm the k-locality property of matrix mechanics discussed by Sekino and Susskind.