RENORMALIZATION-GROUP ANALYSIS OF THE SMECTIC-A(1)-SMECTIC-A(D) PHASE-TRANSITION IN LIQUID-CRYSTALS

Authors
MUKHERJEE PK
Citation
Pk. Mukherjee, RENORMALIZATION-GROUP ANALYSIS OF THE SMECTIC-A(1)-SMECTIC-A(D) PHASE-TRANSITION IN LIQUID-CRYSTALS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(2), 1995, pp. 1743-1747
Citations number
35
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
52
Issue
2
Year of publication
1995
Pages
1743 - 1747
Database
ISI
SICI code
1063-651X(1995)52:2<1743:RAOTSP>2.0.ZU;2-5
Abstract
The present paper develops the renormalization-group techniques to ana lyze the phase transition between the smectic-A(1) and smectic-A(d) ph ases of liquid crystals. This transition exhibits a bicritical or a te tracritical point, depending upon the number of components (n) of the order parameter. For n less than or equal to 3 an isotropic or Heisenb erg fixed point dominates and gives bicritical behavior. However, for n greater than or equal to 4 a new fixed point, with irrational epsilo n expansion coefficients, becomes stable and describes tetracritical b ehavior. The critical exponents are calculated to first order in epsil on.