{"title":"Relaxation rate distribution and decay profile: two fracton relaxation","authors":"S. Alexander, O. Entin-Wohlman, R. Orbach","doi":"10.1051/JPHYSLET:019850046012055500","DOIUrl":null,"url":null,"abstract":"The probability distribution is calculated for the largest two fracton spin lattice relaxation rate, 1/T 1 , in a fractal network. The initial long-time return to equilibrium is governed by a stretched exponential time dependence, afterwards a crossover to a time dependence slower than exponential but faster than any power law is obtained. The average, 1/T 1 ave , is calculated and compared with previous estimates Calcul de la distribution de probabilite pour le taux de relaxation a deux fractons, 1/T 1 , d'un reseau de spins, pour un reseau fractal: variation temporelle exponentielle etendue, puis crossover avec une variation plus lente qu'une exponentielle puis variation plus rapide qu'une loi de puissance pour le temps de retour a l'equilibre","PeriodicalId":14822,"journal":{"name":"Journal De Physique Lettres","volume":"172 1","pages":"555-560"},"PeriodicalIF":0.0000,"publicationDate":"1985-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal De Physique Lettres","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1051/JPHYSLET:019850046012055500","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 17
Abstract
The probability distribution is calculated for the largest two fracton spin lattice relaxation rate, 1/T 1 , in a fractal network. The initial long-time return to equilibrium is governed by a stretched exponential time dependence, afterwards a crossover to a time dependence slower than exponential but faster than any power law is obtained. The average, 1/T 1 ave , is calculated and compared with previous estimates Calcul de la distribution de probabilite pour le taux de relaxation a deux fractons, 1/T 1 , d'un reseau de spins, pour un reseau fractal: variation temporelle exponentielle etendue, puis crossover avec une variation plus lente qu'une exponentielle puis variation plus rapide qu'une loi de puissance pour le temps de retour a l'equilibre
计算了分形网络中最大两分子自旋晶格弛豫率1/ t1的概率分布。初始长时间的平衡回归是由一个拉伸的指数时间依赖控制的，然后交叉到一个比指数时间依赖慢但比任何幂律都快的时间依赖。计算平均值，1/T 1 ave，并与以前的估计进行比较。计算概率分布，1/T 1, d'un reseau de spins, pour un reseau分形，变化temporelle exponentielle tendue，变化puis交叉平均变化+慢曲quentile指数变化+快速曲'une loi de puissance, pour le temtemps de retour和l'平衡
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