Hydrodynamics and growth laws in lamellar orderingM. Cencini1, 2, D. Diacono3 and G. Gonnella3, 4
1 INFM-CNR, SMC Dipartimento di Fisica Università Roma 1, P.zzle A. Moro 2, 00185 Roma, Italy
2 ISC-CNR, Via dei Taurini 19, 00185 Roma, Italy
3 Istituto Nazionale di Fisica Nucleare, Sezione di Bari - via Amendola 173, Bari, Italy
4 Dipartimento di Fisica, Università di Bari - via Amendola 173, 70126 Bari, Italy
received 5 April 2007; accepted in final form 4 June 2007; published July 2007
published online 2 July 2007
Ordering of lamellar phases described by a free-energy functional with short-range interactions is numerically investigated in two dimensions by means of a pseudo-spectral method. The ordering process is found to depend on the fluid viscosity: it is arrested for large viscosity values and proceeds as a power law for small ones, with a crossover regime for intermediate values. At varying the free energy parameters, strong evidence has been found that the ordering law, unlike binary mixtures, is not unique.
64.75.+g - Solubility, segregation, and mixing; phase separation.
47.54.-r - Pattern selection; pattern formation.
82.35.Jk - Copolymers, phase transitions, structure.
© Europhysics Letters Association 2007