Topology and nematic ordering. II. Observable critical behavior

John Toner, Paul E. Lammert, and Daniel S. Rokhsar
Phys. Rev. E 52, 1801 – Published 1 August 1995
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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 TTNT are also found.

  • Received 20 January 1995

DOI:https://doi.org/10.1103/PhysRevE.52.1801

©1995 American Physical Society

Authors & Affiliations

John Toner

  • IBM Thomas J. Watson Research Center, Yorktown Heights, New York 10598
  • Department of Physics, University of Oregon, Eugene, Oregon 97403-1274

Paul E. Lammert

  • Department of Physics, University of California, Berkeley, California 94720
  • Department of Physics, Simon Fraser University, Burnaby British Columbia V5A 156, Canada

Daniel S. Rokhsar

  • Department of Physics, University of California, Berkeley, California 94720

See Also

Topology and nematic ordering. I. A gauge theory

Paul E. Lammert, Daniel S. Rokhsar, and John Toner
Phys. Rev. E 52, 1778 (1995)

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Vol. 52, Iss. 2 — August 1995

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