Do athermal amorphous solids exist?

被引：106

作者：

Hentschel, H. G. E. ^{[1
,2
]}

Karmakar, Smarajit ^{[1
]}

Lerner, Edan ^{[1
]}

Procaccia, Itamar ^{[1
]}

机构：

[1] Weizmann Inst Sci, Dept Chem Phys, IL-76100 Rehovot, Israel

[2] Emory Univ, Dept Phys, Atlanta, GA 30322 USA

来源：

PHYSICAL REVIEW E | 2011年 / 83卷 / 06期

基金：

以色列科学基金会;

关键词：

Thermodynamics - Amorphous materials;

D O I：

10.1103/PhysRevE.83.061101

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We study the elastic theory of amorphous solids made of particles with finite range interactions in the thermodynamic limit. For the elastic theory to exist, one requires all the elastic coefficients, linear and nonlinear, to attain a finite thermodynamic limit. We show that for such systems the existence of nonaffine mechanical responses results in anomalous fluctuations of all the nonlinear coefficients of the elastic theory. While the shear modulus exists, the first nonlinear coefficient B-2 has anomalous fluctuations and the second nonlinear coefficient B-3 and all the higher order coefficients (which are nonzero by symmetry) diverge in the thermodynamic limit. These results call into question the existence of elasticity (or solidity) of amorphous solids at finite strains, even at zero temperature. We discuss the physical meaning of these results and propose that in these systems elasticity can never be decoupled from plasticity: the nonlinear response must be very substantially plastic.

引用

页数：10

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