The generalized Cauchy relation:: a probe for local structure in materials with isotropic symmetry

被引:19
作者
Bactavatchalou, R. [1 ]
Alnot, P. [1 ]
Baller, J. [1 ]
Kolle, M. [1 ]
Moeller, U. [1 ]
Philipp, M. [1 ]
Possart, W. [1 ]
Rouxel, D. [1 ]
Sanctuary, R. [1 ]
Tschoepe, A. [1 ]
Vergnat, Ch. [1 ]
Wetzel, B. [1 ]
Krueger, J. K. [1 ]
机构
[1] Univ Saarland, Lab Europeen Rech, Univ Saarland Lorraine Luxembourg, D-6600 Saarbrucken, Germany
来源
STATISTICAL PHYSICS OF AGEING PHENOMENA AND THE GLASS TRANSITION | 2006年 / 40卷
关键词
D O I
10.1088/1742-6596/40/1/014
中图分类号
O414.1 [热力学];
学科分类号
摘要
The elastic properties of the isotropic state of condensed matter are given by the elastic constants c11 and c44. In the liquid state the static shear stiffness c44 vanishes whereas at sufficient high probe frequencies a dynamic shear stiffness may appear. In that latter case the question about the existence of a Cauchy relation appears. It will be shown that a pure Cauchy relation can appear only under special conditions which are rarely fulfilled. For all investigated materials, including ceramics, liquids and glasses, a linear relation between c11 and c44 called generalized Cauchy relation is observed, which, surprisingly, follows a linear transformation.
引用
收藏
页码:111 / +
页数:2
相关论文
共 9 条
[1]  
BORN M, 1968, DYNAMICAL THEORY CRY
[2]  
GRIMVALL G, 1986, THERMOPHYSICAL PROPE, V18
[3]  
Kossevich A.M, 1988, CRYSTAL LATTICE THEO
[4]  
Kruger J. K., 1989, OPTICAL TECHNIQUES C
[5]   Cauchy-like relation between elastic constants in amorphous materials -: art. no. 012206 [J].
Krüger, JK ;
Baller, J ;
Britz, T ;
le Coutre, A ;
Peter, R ;
Bactavatchalou, R ;
Schreiber, J .
PHYSICAL REVIEW B, 2002, 66 (01) :122061-122064
[6]   DEFECT-INDUCED RAMAN-SPECTRA IN DOPED CEO2 [J].
NAKAJIMA, A ;
YOSHIHARA, A ;
ISHIGAME, M .
PHYSICAL REVIEW B, 1994, 50 (18) :13297-13307
[7]  
ROYER D, 1999, ONDES ELASTIQUES SOL, V1
[8]  
SOMMERFELD A, 1989, MECH DEFORMIERBAREN, V2
[9]   HIGH-FREQUENCY ELASTIC MODULI OF SIMPLE FLUIDS [J].
ZWANZIG, R ;
MOUNTAIN, RD .
JOURNAL OF CHEMICAL PHYSICS, 1965, 43 (12) :4464-&