Low temperature specific heat of glasses a non-extensive approach.pdf

下载文档

3
0
约1万字
约 7页
2017-04-11 发布于江苏
举报
版权申诉
保障服务

Low temperature specific heat of glasses a non-extensive approach.pdf

1、本文档共7页，可阅读全部内容。
2、原创力文档（book118）网站文档一经付费（服务费），不意味着购买了该文档的版权，仅供个人/单位学习、研究之用，不得用于商业用途，未经授权，严禁复制、发行、汇编、翻译或者网络传播等，侵权必究。
3、本站所有内容均由合作方或网友上传，本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺！文档内容仅供研究参考，付费前请自行鉴别。如您付费，意味着您自己接受本站规则且自行承担风险，本站不退款、不进行额外附加服务；查看《如何避免下载的几个坑》。如果您已付费下载过本站文档，您可以点击这里二次下载。
4、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等，请点击“版权申诉”（推荐），也可以打举报电话：400-050-0827(电话支持时间：9:00-18:30)。

Low temperature specific heat of glasses a non-extensive approach

a r X i v : c o n d - m a t / 0 5 0 8 5 1 2 v 1 [ c o n d - m a t .s t a t - m e c h ] 2 2 A u g 2 0 0 5 Low temperature specific heat of glasses : A non- extensive approach Ashok Razdan Nuclear Research Laboratory Bhabha Atomic Research Centre Trombay, Mumbai- 400085 Abstract : Specific heat is calculated using Tsallis Statistics. It is observed that it is possible to explain some low temperature specific heat properties of glasses using non-extensive approach. A similarity between temperature dependence of non-extensive specific heat and fractal specific heat is also discussed. Motivation: Non-extensive statistics is being increasingly used to explain anomalous be- haviour observed in the properties of various physical system. Tsallis statistics has been used to study physical systems /phenomena which include turbulence in plasma [1], Cosmic ray background radiation [2], self gravitating systems [3], econo-physics[4], electron -positron annihilation [5],classical and quantum chaos [6], linear response theory [7], Levy type anomalous super diffusion [8], ther- malization of electron - phonon systems [9], low dimensional dissipative systems [10] etc. It has been shown that non-extensive features get manifested in those systems which have long range forces, long memory effects or in those systems which evolve in (non Euclidean like space-time) fractal space time [11 and ref- erence therein]. Apart from other applications it has been suggested [11] that non-extensive statistics can be applied to complex systems like glassy materi- als and fractal / multi-fractal or unconventional structures also. Anomalous low temperature specific heat results in glasses have motivated us to use non- extensive statistics. We will also compare specific heat using Tsallis statistics with specific heat of a fractal. Low temperature specific heat: Specific heat depends on density of states g(ω) Cp = kB 2 h? ∫ ∞ 0 g( kBT h? x) x2ex (ex ? 1)2 dx (1) where x = h?ω kBT . Above equatio