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• W2209216411 abstract "The momentum autocorrelation function of a mass impurity in a classic diatomic chain is studied using the recurrence relations method. General expressions for the contributions of branch cuts and resonant poles have been derived and illustrated in previous papers I and II, respectively. In the present paper a series of limiting cases that any one of the three masses m0,m1,m2 approaches to zero or infinity are analyzed. It is found that the cases m0→0 and →(2m2)+ are closely related to each other and that the general expressions for the amplitudes are valid also in the limits λ→0 and ∞. The ergodicity in the case m2→0 is studied and the ratio of two specific infinite products is obtained." @default.
• W2209216411 created "2016-06-24" @default.
• W2209216411 creator A5079870830 @default.
• W2209216411 date "2016-04-01" @default.
• W2209216411 modified "2023-09-30" @default.
• W2209216411 title "Momentum autocorrelation function of an impurity in a classical oscillator chain with alternating masses III. Some limiting cases" @default.
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• W2209216411 doi "https://doi.org/10.1016/j.physa.2015.12.034" @default.
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