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Low temperature specific heat of glasses: A nonextensive approach

By Ashok Razdan


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 behaviour 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], thermalization 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 reference therein]. Apart from other applications it has been suggested [11] that non-extensive statistics can be applied to complex systems like glassy materials 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

Year: 2005
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