The Bloch-Gruneisen function of arbitrary order and its series representations

被引：33
作者：
Cvijovic, D. [1 ]
机构：
[1] Vinca Inst Nucl Sci, Atom Phys Lab, Belgrade, Serbia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2011年 / 166卷 / 01期
关键词：
Bloch-Gruneisen formula; Bloch-Gruneisen function; Bose-Einstein function; Debye function; polylogarithm; incomplete gamma function; electrical resistivity; TEMPERATURE-DEPENDENT RESISTIVITY; SUPERCONDUCTOR; METALS; MGB2;
D O I：
10.1007/s11232-011-0003-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We derive several series representations for the Bloch-Gruneisen function of an arbitrary (integer or noninteger) order and show that it is related to other, more familiar special functions more commonly used in mathematical physics. In particular, the Bloch-Gruneisen function of integer order is expressible in terms of the Bose-Einstein function of different orders.
引用
收藏
页码：37 / 42
页数：6
相关论文
共 22 条
[1]  
ABRAMOWITZ, 1972, APPL MATH SERIES, V55, P3218
[2]   THE TEMPERATURE-DEPENDENT ELECTRICAL RESISTIVITIES OF THE ALKALI-METALS [J].
BASS, J ;
PRATT, WP ;
SCHROEDER, PA .
REVIEWS OF MODERN PHYSICS, 1990, 62 (03) :645-744
[3]   Three quantum obsessions [J].
Berry, M. V. .
NONLINEARITY, 2008, 21 (02) :19-26
[4]   The Riemann zeros and eigenvalue asymptotics [J].
Berry, MV ;
Keating, JP .
SIAM REVIEW, 1999, 41 (02) :236-266
[5]   Temperature dependence of the resistance of metallic nanowires of diameter ≥15 nm:: Applicability of Bloch-Gruneisen theorem [J].
Bid, Aveek ;
Bora, Achyut ;
Raychaudhuri, A. K. .
PHYSICAL REVIEW B, 2006, 74 (03)
[6]   FERMI-DIRAC AND BOSE-EINSTEIN FUNCTIONS OF NEGATIVE INTEGER ORDER [J].
Cvijovic, D. .
THEORETICAL AND MATHEMATICAL PHYSICS, 2009, 161 (03) :1663-1668
[7]  
CVIJOVIC D, 2009, ARXIV09114452V1MATHC, P3218
[8]   New integral representations of the polylogarithm function [J].
Cvijovic, Djurdje .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2007, 463 (2080) :897-905
[9]   AN ACCURATE ANALYTIC REPRESENTATION FOR THE BLOCH-GRUNEISEN INTEGRAL [J].
DEUTSCH, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (13) :L811-L813
[10]   POLYNOMIAL EXPRESSION OF THE BLOCH-GRUNEISEN INTEGRAL - APPLICATION TO AN ANALYSIS OF THE RESISTIVITY-TEMPERATURE VARIATION OF METALS [J].
IGASAKI, Y ;
MITSUHASHI, H .
PHYSICA STATUS SOLIDI A-APPLIED RESEARCH, 1987, 99 (02) :K111-K115
123