Generalized isotropic-nematic phase transitions: Critical behavior of 3D PN models

Gregory Kohring; Robert E. Shrock

doi:10.1016/0550-3213(87)90351-8

Generalized isotropic-nematic phase transitions: Critical behavior of 3D P^N models

Gregory Kohring
, Robert E. Shrock

Institute for Theoretical Physics

Stony Brook University

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

11 Scopus citations

Abstract

Using analytic and Monte Carlo techniques, we determine the critical behavior of a class of 3D lattice models for generalized isotropic-nematic phase transitions based on the spaces P^N = S^N/Z₂. We find that for all N ≥ 2, these models have first order phase transitions with discontinuities in the order parameter and internal energy which are monotonically increasing functions of N. For comparison, an exact solution of the theory in 1D is given.

Original language	English
Pages (from-to)	504-518
Number of pages	15
Journal	Nuclear Physics, Section B
Volume	285
Issue number	C
DOIs	https://doi.org/10.1016/0550-3213(87)90351-8
State	Published - 1987

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@article{81f209894a5243218d868f71fe8b25e3,

title = "Generalized isotropic-nematic phase transitions: Critical behavior of 3D PN models",

abstract = "Using analytic and Monte Carlo techniques, we determine the critical behavior of a class of 3D lattice models for generalized isotropic-nematic phase transitions based on the spaces PN = SN/Z2. We find that for all N ≥ 2, these models have first order phase transitions with discontinuities in the order parameter and internal energy which are monotonically increasing functions of N. For comparison, an exact solution of the theory in 1D is given.",

author = "Gregory Kohring and Shrock, \{Robert E.\}",

year = "1987",

doi = "10.1016/0550-3213(87)90351-8",

language = "English",

volume = "285",

pages = "504--518",

journal = "Nuclear Physics, Section B",

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TY - JOUR

T1 - Generalized isotropic-nematic phase transitions

T2 - Critical behavior of 3D PN models

AU - Kohring, Gregory

AU - Shrock, Robert E.

PY - 1987

Y1 - 1987

N2 - Using analytic and Monte Carlo techniques, we determine the critical behavior of a class of 3D lattice models for generalized isotropic-nematic phase transitions based on the spaces PN = SN/Z2. We find that for all N ≥ 2, these models have first order phase transitions with discontinuities in the order parameter and internal energy which are monotonically increasing functions of N. For comparison, an exact solution of the theory in 1D is given.

AB - Using analytic and Monte Carlo techniques, we determine the critical behavior of a class of 3D lattice models for generalized isotropic-nematic phase transitions based on the spaces PN = SN/Z2. We find that for all N ≥ 2, these models have first order phase transitions with discontinuities in the order parameter and internal energy which are monotonically increasing functions of N. For comparison, an exact solution of the theory in 1D is given.

UR - https://www.scopus.com/pages/publications/0001581230

U2 - 10.1016/0550-3213(87)90351-8

DO - 10.1016/0550-3213(87)90351-8

M3 - Article

AN - SCOPUS:0001581230

SN - 0550-3213

VL - 285

SP - 504

EP - 518

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - C

ER -

Generalized isotropic-nematic phase transitions: Critical behavior of 3D P^N models

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