K. Parlinski et G. Chapuis, PHASE-TRANSITION MECHANISMS BETWEEN HEXAGONAL COMMENSURATE AND INCOMMENSURATE STRUCTURES, Physical review. B, Condensed matter, 49(17), 1994, pp. 11643-11651
A hexagonal two-dimensional model of particles with displacive degrees
of freedom and interacting via potential energy with harmonic and anh
armonic third- and fourth-order terms has been studied by the molecula
r-dynamics technique. The modulated phases characterized by the wave v
ectors lying in the interval from 1/4 to 1/3 have been specifically co
nsidered. The simulations have shown that: (i) the 1q commensurate 1/4
--> 1/3 1q incommensurate phase transition is driven by the stripple
mechanism. The stripples are built from four discommensuration planes
and the serial mechanism of stripple correlated nucleation has been ob
served. (ii) The reverse phase transition from 1q incommensurate to 1q
commensurate 1/4 phase was obtained only under extreme metastable con
ditions. No antistripples with four discommensurations were observed.
Instead, a rearrangement of same domains gave a possibility to remove
discommensuration planes by simple antistripples built up from two dis
commensurations only. (iii) At the 3q --> 1q phase transition, the col
umns of 3q phase merged together to form a stripe of a 1q incommensura
te phase. (iv) The commensurate phase 1/3 is degenerate with respect t
o the 1q and 3q modulation patterns.