Elasticity theory of smectic and canonic mesophases

Journal Article · Sun Jan 01 04:00:00 EST 1995 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.51.536· OSTI ID:6692568

Stallinga, S; Vertogen, G ^[1]

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1. Institute for Theoretical Physics, University of Nijmegen Toernooiveld, 6525 ED Nijmegen (Netherlands)

The general theory of elasticity for smectic and canonic mesophases is formulated, starting from the assumption that the equilibrium state is spatially periodic. The various surface terms appearing in the deformation free energy density are considered as well. The effective description of the elastic behavior of a general nonchiral smectic mesophase involves one positional elastic constant, 16 bulk orientational elastic constants, and six surface orientational elastic constants. One additional bulk orientational elastic constant is required for the description of a general chiral smectic mesophase. The effective description of the elastic behavior of a general nonchiral canonic mesophase involves six positional elastic constants and three bulk orientational elastic constants. In this case the property of chirality does not introduce additional orientational elastic constants. The elastic constants for some relevant smectic and canonic mesophases are given, including the elastic constants for the antiferroelectric Sm-[ital C][sub [ital A]][sup *] and ferrielectric Sm-[ital C][sub [alpha]][sup *] and Sm-[ital C][sub [gamma]][sup *] phases.

• OSTI ID: 6692568
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 51:1; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CHIRALITY
CRYSTALS
DEFORMATION
ELASTICITY
ENERGY
FLUIDS
FREE ENERGY
LIQUID CRYSTALS
LIQUIDS
MECHANICAL PROPERTIES
ORIENTATION
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
STRAINS
STRESSES
TENSILE PROPERTIES
THERMODYNAMIC PROPERTIES