Tensor fields in crystals and colour groups

R. Berenson; J. N. Kotzev; D. B. Litvin

doi:10.1016/0378-4371(82)90354-5

Tensor fields in crystals and colour groups

R. Berenson, J. N. Kotzev, D. B. Litvin

Division of Science (Berks)

Research output: Contribution to journal › Article › peer-review

Abstract

The theory of permutational colour groups is used to construct tables of the k = 0 irreducible representations whose basis functions are linear combinations of the components of tensor fields defined on the atoms of a crystal. As examples of their use, these tables are shown to be applicable in determining the k = 0 vibrational modes of a crystal and in applying the Tensor Field Criterion in the Landau theory of continuous phase transitions.

Original language	English (US)
Pages (from-to)	588-591
Number of pages	4
Journal	Physica A: Statistical Mechanics and its Applications
Volume	114
Issue number	1-3
DOIs	https://doi.org/10.1016/0378-4371(82)90354-5
State	Published - Aug 1982

All Science Journal Classification (ASJC) codes

Statistics and Probability
Condensed Matter Physics

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10.1016/0378-4371(82)90354-5

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title = "Tensor fields in crystals and colour groups",

abstract = "The theory of permutational colour groups is used to construct tables of the k = 0 irreducible representations whose basis functions are linear combinations of the components of tensor fields defined on the atoms of a crystal. As examples of their use, these tables are shown to be applicable in determining the k = 0 vibrational modes of a crystal and in applying the Tensor Field Criterion in the Landau theory of continuous phase transitions.",

author = "R. Berenson and Kotzev, {J. N.} and Litvin, {D. B.}",

note = "Funding Information: This work was supportedi n part by National Science Foundation Contract DMR 78-12399a nd PSC-BHE R13404.T he authors wish to thank Professor J.L. Birman for discussions and for bringing together this group of researchers. J.N.K. gratefully acknowledges the financial support of the International Research and Exchange Board, and J.N.K. and D.B.L. the travel support provided by the Penn State-Berks Campus Scholarly Activity Fund.",

year = "1982",

month = aug,

doi = "10.1016/0378-4371(82)90354-5",

language = "English (US)",

volume = "114",

pages = "588--591",

journal = "Physica A: Statistical Mechanics and its Applications",

issn = "0378-4371",

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number = "1-3",

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T1 - Tensor fields in crystals and colour groups

AU - Berenson, R.

AU - Kotzev, J. N.

AU - Litvin, D. B.

N1 - Funding Information: This work was supportedi n part by National Science Foundation Contract DMR 78-12399a nd PSC-BHE R13404.T he authors wish to thank Professor J.L. Birman for discussions and for bringing together this group of researchers. J.N.K. gratefully acknowledges the financial support of the International Research and Exchange Board, and J.N.K. and D.B.L. the travel support provided by the Penn State-Berks Campus Scholarly Activity Fund.

PY - 1982/8

Y1 - 1982/8

N2 - The theory of permutational colour groups is used to construct tables of the k = 0 irreducible representations whose basis functions are linear combinations of the components of tensor fields defined on the atoms of a crystal. As examples of their use, these tables are shown to be applicable in determining the k = 0 vibrational modes of a crystal and in applying the Tensor Field Criterion in the Landau theory of continuous phase transitions.

AB - The theory of permutational colour groups is used to construct tables of the k = 0 irreducible representations whose basis functions are linear combinations of the components of tensor fields defined on the atoms of a crystal. As examples of their use, these tables are shown to be applicable in determining the k = 0 vibrational modes of a crystal and in applying the Tensor Field Criterion in the Landau theory of continuous phase transitions.

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-3

ER -

Tensor fields in crystals and colour groups

Abstract

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