Topology and nematic ordering. II. Observable critical behavior

John Toner, Paul E. Lammert, Daniel S. Rokhsar

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

This paper is the second in a pair treating a lattice model for nematic media. In addition to the familiar isotropic (I) and nematically ordered (N) phases, the phase diagram established in the previous paper (paper I) contains a new, topologically ordered phase (T) occurring at large suppression of topological defects and weak nematic interactions. This paper (paper II) is concerned with the experimental signatures of the proposed phase diagram. Specific heat, light scattering, and magnetic susceptibility near both the N-T and I-T transitions are studied and critical behavior is determined. The singular dependences of the Frank constants K1,K2,K3 and the dielectric tensor anisotropy Δε on temperature as T→TNT- are also found.

Original languageEnglish (US)
Pages (from-to)1801-1810
Number of pages10
JournalPhysical Review E
Volume52
Issue number2
DOIs
StatePublished - Jan 1 1995

Fingerprint

Critical Behavior
Phase Diagram
topology
phase diagrams
Topology
Topological Defects
Magnetic Susceptibility
Light Scattering
Specific Heat
Lattice Model
Anisotropy
light scattering
Signature
Tensor
signatures
retarding
specific heat
tensors
magnetic permeability
anisotropy

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

Toner, John ; Lammert, Paul E. ; Rokhsar, Daniel S. / Topology and nematic ordering. II. Observable critical behavior. In: Physical Review E. 1995 ; Vol. 52, No. 2. pp. 1801-1810.
@article{24a1816c956f4209a62f4147ce3bd31f,
title = "Topology and nematic ordering. II. Observable critical behavior",
abstract = "This paper is the second in a pair treating a lattice model for nematic media. In addition to the familiar isotropic (I) and nematically ordered (N) phases, the phase diagram established in the previous paper (paper I) contains a new, topologically ordered phase (T) occurring at large suppression of topological defects and weak nematic interactions. This paper (paper II) is concerned with the experimental signatures of the proposed phase diagram. Specific heat, light scattering, and magnetic susceptibility near both the N-T and I-T transitions are studied and critical behavior is determined. The singular dependences of the Frank constants K1,K2,K3 and the dielectric tensor anisotropy Δε on temperature as T→TNT- are also found.",
author = "John Toner and Lammert, {Paul E.} and Rokhsar, {Daniel S.}",
year = "1995",
month = "1",
day = "1",
doi = "10.1103/PhysRevE.52.1801",
language = "English (US)",
volume = "52",
pages = "1801--1810",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "2",

}

Topology and nematic ordering. II. Observable critical behavior. / Toner, John; Lammert, Paul E.; Rokhsar, Daniel S.

In: Physical Review E, Vol. 52, No. 2, 01.01.1995, p. 1801-1810.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Topology and nematic ordering. II. Observable critical behavior

AU - Toner, John

AU - Lammert, Paul E.

AU - Rokhsar, Daniel S.

PY - 1995/1/1

Y1 - 1995/1/1

N2 - This paper is the second in a pair treating a lattice model for nematic media. In addition to the familiar isotropic (I) and nematically ordered (N) phases, the phase diagram established in the previous paper (paper I) contains a new, topologically ordered phase (T) occurring at large suppression of topological defects and weak nematic interactions. This paper (paper II) is concerned with the experimental signatures of the proposed phase diagram. Specific heat, light scattering, and magnetic susceptibility near both the N-T and I-T transitions are studied and critical behavior is determined. The singular dependences of the Frank constants K1,K2,K3 and the dielectric tensor anisotropy Δε on temperature as T→TNT- are also found.

AB - This paper is the second in a pair treating a lattice model for nematic media. In addition to the familiar isotropic (I) and nematically ordered (N) phases, the phase diagram established in the previous paper (paper I) contains a new, topologically ordered phase (T) occurring at large suppression of topological defects and weak nematic interactions. This paper (paper II) is concerned with the experimental signatures of the proposed phase diagram. Specific heat, light scattering, and magnetic susceptibility near both the N-T and I-T transitions are studied and critical behavior is determined. The singular dependences of the Frank constants K1,K2,K3 and the dielectric tensor anisotropy Δε on temperature as T→TNT- are also found.

UR - http://www.scopus.com/inward/record.url?scp=4243897889&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243897889&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.52.1801

DO - 10.1103/PhysRevE.52.1801

M3 - Article

AN - SCOPUS:4243897889

VL - 52

SP - 1801

EP - 1810

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 2

ER -