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ÎÐÓØÝ¹ÚÐÓØÝÙØÓÓÖÖÐØÓÒÙÒØÓÒ Î×ÙÚÖÝÐÓ×ØÒÙØÓÓÖÐÒÙÒc v (t) = 〈ẋ 1(0)ẋ 1 (t)〉〈ẋ 1 (0)ẋ 1 (0)·22/26s131c v (t)0.500 0.5 1 1.5t/ps
ÃÒØÓ¬ÒØÝÚÅÁÁ Ò×ØÒκ=∫ ∞0 〈Ẋ(0)Ẋ(t)〉dt·23/26s13Þ∫ t0 〈Ẋ(0)Ẋ(t′ )〉dt ′ = [〈Ẋ(0)X(t ′ )〉] t 0ÑÒt → −t´ÆẊ(0) → −Ẋ(0)µÔÓ×ÙÒÓt⇒∞Ô∫ t0 〈Ẋ(0)Ẋ(t′ )〉dt ′ = 1 d2dt 〈[X(t)−X(0)]2 〉ÎÐÑØt ÆÔºÔÖÓÙÞ→2tκ = 〈[X(t)−X(0)] 2 〉D= 1 3∫ ∞0 〈˙⃗r i (t)· ˙⃗r i (0)〉dt2tD = 1 3 〈|⃗r i(t)−⃗r i (0)| 2 〉
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