Chains with the fractal dispersion law
نویسنده
چکیده
Chains with long-range interactions are considered. The interactions are defined such that each nth particle interacts only with chain particles with the numbers n ± a(m), where m = 1, 2, 3, . . . and a(m) is an integer-valued function. Exponential type functions a(m) = b, where b = 2, 3, . . . , are discussed. The correspondent pseudodifferential equations of chain oscillations are obtained. Dispersion laws of the suggested chains are described by the Weierstrass and Weierstrass–Mandelbrot functions. PACS number: 05.45.Df; 45.05.+x; 45.50.−j
منابع مشابه
Chains with Fractal Dispersion Law
Chains with long-range interactions are considered. The interactions are defined such that each nth particle interacts only with chain particles with the numbers n±a(m), where m = 1, 2, 3, ... and a(m) is an integer-valued function. Exponential type functions a(m) = b, where b = 2, 3, .., are discussed. The correspondent pseudodifferential equations of chain oscillations are obtained. Dispersio...
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