Chains with the fractal dispersion law

作者: Vasily E Tarasov

DOI: 10.1088/1751-8113/41/3/035101

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摘要: Chains with long-range interactions are considered. The defined such that each nth particle interacts only chain particles the numbers n ± a(m), where m = 1,2,3 ,... and a(m) is an integer-valued function. Exponential type functions b , 2,3 ,..., discussed. Thecorrespondentpseudodifferentialequationsofchainoscillations obtained. Dispersion laws of suggested chains described by Weierstrass Weierstrass‐Mandelbrot functions.

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