De Vries behavior in smectic liquid crystals near a biaxiality-induced smectic- A -smectic- C tricritical point

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 77, Issue 6, 2008, Pages

  Saunders, Karl ^a  

^a CALIFORNIA POLYTECHNIC STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIREFRINGENCE; CRYSTALLOGRAPHY; LIGHT SOURCES; LIQUID CRYSTALS; OPTICAL PROPERTIES; SAMARIUM ALLOYS; THREE DIMENSIONAL;

AMERICAN PHYSICAL SOCIETY (APS); BIAXIALITY; C TRANSITIONS; CONTINUOUS TRANSITIONS; DE VRIES BEHAVIOR; FIRST ORDERS; LANDAU THEORY; LAYER SPACINGS; ORIENTATIONAL ORDERS; SMECTIC C; SMECTIC-A; TEMPERATURE DEPENDENCES; THREE DIMENSIONAL (3D); TRANSITION (JEL CLASSIFICATIONS:E52 ,E41 ,E31); TRI-CRITICAL POINT (TCP); TRICRITICALITY;

SMECTIC LIQUID CRYSTALS;

EID: 46349089555     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.061708     Document Type: Article

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15. It is straightforward to show that at the first-order Sm- A -Sm- C transition, where τ= τ1st as given by Eq. 30, the value of the correction Δ MA = | ΔM0 | (-1+ a0 16 g0 M0 τ 0), which near the tricritical point is | ΔM0 |.
16. As with the orientational order, it is straightforward to show that at the first-order Sm- A -Sm- C transition the value of the correction Δ qA = | Δq0 | (-1+ a0 16 | a1 | q02 τ 0), which near the tricritical point is | Δq0 |.