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The self-part of the van Hove function of Li1 ions, Gs(r,t), is used as an indicator of the cage decay. At 700 K, in the early time regime t,tx1 , when the cage decays very slowly, the mean square displacement ^r2\u0026 of Li1 ions also increases very slowly with time approximately as t0.1 and has weak temperature dependence. Such ^r2\u0026 can be identified with the near constant loss ~NCL! observed in the dielectric response of ionic conductors. At longer times, when the cage decays more rapidly as indicated by the increasing buildup of the intensity of Gs(r,t) at the distance between Li1 ion sites, ^r2\u0026 broadly crosses over from the NCL regime to another power law tb with b\u00270.64 and eventually it becomes t1.0, corresponding to long-range diffusion. Both tb and t1.0 terms have strong temperature dependence and they are the analogs of the ac conductivity @s(v)}v12b # and dc conductivity of hopping ions. The MD results in conjunction with the coupling model support the following proposed interpretation for conductivity relaxation of ionic conductors: ~1! the NCL originates from very slow initial decay of the cage with time caused by few independent hops of the ions because tx1!t o , where t o is the independent hop relaxation time; ~2! the broad crossover from the NCL to the cooperative ion hopping conductivity s(v)}v12b occurs when the cage decays more rapidly starting at tx1 ; ~3! s(v)}v12b is fully established at a time tx2 comparable to t o when the cage has decayed to such an extent that thereafter all ions participate in the slowed dynamics of cooperative jump motion; and ~4! finally, at long times s~v! becomes frequency independent, i.e., the dc conductivity. MD simulations show the non-Gaussian parameter peaks at approximately tx2 and the motion of the Li1 ions is dynamically heterogeneous. 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Molecular dynamics study of cage decay, near constant loss and crossover to cooperative ion hopping in lithium metasilicate
http://hdl.handle.net/2297/1707
http://hdl.handle.net/2297/1707145b3f70-1fb3-4c47-b73c-053327d24835
名前 / ファイル | ライセンス | アクション |
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SC-PR-HIWATARI-Y-e021205.pdf (185.5 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2017-10-03 | |||||
タイトル | ||||||
タイトル | Molecular dynamics study of cage decay, near constant loss and crossover to cooperative ion hopping in lithium metasilicate | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者 |
Habasaki, Junko
× Habasaki, Junko× Ngai, K.L.× Hiwatari, Yasuaki |
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提供者所属 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 金沢大学理学部 | |||||
書誌情報 |
Physical Review E 巻 66, 号 2, p. 021205-1-021205-11, 発行日 2002-08-01 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 15393755 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1103/physreve.66.021205 | |||||
その他の識別子 | ||||||
内容記述タイプ | Other | |||||
内容記述 | AA11558033 | |||||
出版者 | ||||||
出版者 | The American Physical Society | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Molecular dynamics ~MD! simulations of lithium metasilicate (Li2SiO3) in the glassy and supercooled liquid states have been performed to illustrate the decay with time of the cages that confine individual Li1 ions before they hop out to diffuse cooperatively with each other. The self-part of the van Hove function of Li1 ions, Gs(r,t), is used as an indicator of the cage decay. At 700 K, in the early time regime t,tx1 , when the cage decays very slowly, the mean square displacement ^r2& of Li1 ions also increases very slowly with time approximately as t0.1 and has weak temperature dependence. Such ^r2& can be identified with the near constant loss ~NCL! observed in the dielectric response of ionic conductors. At longer times, when the cage decays more rapidly as indicated by the increasing buildup of the intensity of Gs(r,t) at the distance between Li1 ion sites, ^r2& broadly crosses over from the NCL regime to another power law tb with b'0.64 and eventually it becomes t1.0, corresponding to long-range diffusion. Both tb and t1.0 terms have strong temperature dependence and they are the analogs of the ac conductivity @s(v)}v12b # and dc conductivity of hopping ions. The MD results in conjunction with the coupling model support the following proposed interpretation for conductivity relaxation of ionic conductors: ~1! the NCL originates from very slow initial decay of the cage with time caused by few independent hops of the ions because tx1!t o , where t o is the independent hop relaxation time; ~2! the broad crossover from the NCL to the cooperative ion hopping conductivity s(v)}v12b occurs when the cage decays more rapidly starting at tx1 ; ~3! s(v)}v12b is fully established at a time tx2 comparable to t o when the cage has decayed to such an extent that thereafter all ions participate in the slowed dynamics of cooperative jump motion; and ~4! finally, at long times s~v! becomes frequency independent, i.e., the dc conductivity. MD simulations show the non-Gaussian parameter peaks at approximately tx2 and the motion of the Li1 ions is dynamically heterogeneous. Roughly divided into two categories of slow ~A! and fast ~B! moving ions, their mean square displacements ^rA 2 & and ^rB 2 & are about the same for t,tx2 , but ^rB 2 & of the fast ions increases much more rapidly for t.tx2 . The self-part of the van Hove function of Li1 reveals that first jumps for some Li1 ions, which are apparently independent free jumps, have taken place before tx2 . While after tx2 the angle between the first jump and the next is affected by the other ions, again indicating cooperative jump motion. The dynamic properties are analogous to those found in supercooled colloidal particle suspension by confocal microscopy. | |||||
権利 | ||||||
権利情報 | © 2002 The American Physical Society | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |