Mechanism for Negative Poisson Ratios over the alpha - beta Transition of Cristobalite, SiO_2: A Molecular-Dynamics Study

by: Hajime Kimizuka, Hideo Kaburaki, Yoshiaki Kogure

Physical Review Letters, Vol. 84, No. 24. (12 June 2000), 5548.

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Abstract

The adiabatic elastic constants ( C ij ) of cristobalite have been evaluated successfully over the temperature range of 300â1800 K using the molecular-dynamics method with a fluctuation formula. Cristobalite shows a negative Poisson ratio over this temperature range. However; the mechanisms differ between the Î± and Î² phases. In the cubic Î² phase; C 44 exhibits a value extremely close to C 11 rather than C 12 ; in contrast to the Cauchy relation. This predicts a remarkable property that the longitudinal and transverse velocities coincide for the acoustic waves propagating along the [100] direction.

@article{citeulike:804191, abstract = {The adiabatic elastic constants ( C ij ) of cristobalite have been evaluated successfully over the temperature range of 300\^{a}1800 K using the molecular-dynamics method with a fluctuation formula. Cristobalite shows a negative Poisson ratio over this temperature range. However; the mechanisms differ between the \^{I}± and \^{I}² phases. In the cubic \^{I}² phase; C 44 exhibits a value extremely close to C 11 rather than C 12 ; in contrast to the Cauchy relation. This predicts a remarkable property that the longitudinal and transverse velocities coincide for the acoustic waves propagating along the [100] direction.}, author = {Kimizuka, Hajime and Kaburaki, Hideo and Kogure, Yoshiaki }, citeulike-article-id = {804191}, doi = {10.1103/PhysRevLett.84.5548}, journal = {Physical Review Letters}, keywords = {cristobalite, poisson}, month = {June}, number = {24}, pages = {5548+}, posted-at = {2006-08-17 14:45:08}, priority = {2}, publisher = {American Physical Society}, title = {Mechanism for Negative Poisson Ratios over the alpha - beta Transition of Cristobalite, SiO\_{2}: A Molecular-Dynamics Study}, url = {http://dx.doi.org/10.1103/PhysRevLett.84.5548}, volume = {84}, year = {2000} }

RIS record

TY - JOUR ID - citeulike:804191 L3 - citeulike-article-id:804191 TI - Mechanism for Negative Poisson Ratios over the alpha - beta Transition of Cristobalite, SiO_{2}: A Molecular-Dynamics Study JF - Physical Review Letters VL - 84 IS - 24 SP - 5548 PB - American Physical Society N2 - The adiabatic elastic constants ( C ij ) of cristobalite have been evaluated successfully over the temperature range of 300â1800 K using the molecular-dynamics method with a fluctuation formula. Cristobalite shows a negative Poisson ratio over this temperature range. However; the mechanisms differ between the Î± and Î² phases. In the cubic Î² phase; C 44 exhibits a value extremely close to C 11 rather than C 12 ; in contrast to the Cauchy relation. This predicts a remarkable property that the longitudinal and transverse velocities coincide for the acoustic waves propagating along the [100] direction. KW - cristobalite KW - poisson AU - Kimizuka, Hajime AU - Kaburaki, Hideo AU - Kogure, Yoshiaki PY - 2000/06/12/ UR - http://dx.doi.org/10.1103/PhysRevLett.84.5548 ER -

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