Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
1998-08-02
Phys. Rev. E 58, No. 5 (1998)5909-5913
Physics
Condensed Matter
Soft Condensed Matter
9 pages in RevTex form, with 3 postscript figures. Accepted by PRE
Scientific paper
10.1103/PhysRevE.58.5909
During catastrophic processes of environmental variations of a thermodynamic system, such as rapid temperature decreasing, many novel and complex patterns often form. To understand such phenomena, a general mechanism is proposed based on the competition between heat transfer and conversion of heat to other energy forms. We apply it to the smectic-A filament growth process during quench-induced isotropic to smectic-A phase transition. Analytical forms for the buckling patterns are derived and we find good agreement with experimental observation [Phys. Rev. {\bf E55} (1997) 1655]. The present work strongly indicates that rapid cooling will lead to structural transitions in the smectic-A filament at the molecular level to optimize heat conversion. The force associated with this pattern formation process is estimated to be in the order of $10^{-1}$ piconewton.
Haijun Zhou
Zhong-Can Ou-Yang
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