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Titolo:
METASTABILITY IN FLUCTUATION-DRIVEN FIRST-ORDER TRANSITIONS - NUCLEATION OF LAMELLAR PHASES
Autore:
HOHENBERG PC; SWIFT JB;
Indirizzi:
YALE UNIV,DEPT PHYS,POB 208120 NEW HAVEN CT 06520 AT&T BELL LABS MURRAY HILL NJ 07974 UNIV TEXAS,CTR NONLINEAR DYNAM AUSTIN TX 78712 UNIV TEXAS,DEPT PHYS AUSTIN TX 78712
Titolo Testata:
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
fascicolo: 2, volume: 52, anno: 1995,
pagine: 1828 - 1845
SICI:
1063-651X(1995)52:2<1828:MIFFT->2.0.ZU;2-3
Fonte:
ISI
Lingua:
ENG
Soggetto:
C MULTICRITICAL POINT; SMECTIC-A; MICROPHASE SEPARATION; 1ST-ORDER TRANSITION; NOISE; ONSET;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Science Citation Index Expanded
Science Citation Index Expanded
Citazioni:
33
Recensione:
Indirizzi per estratti:
Citazione:
P.C. Hohenberg e J.B. Swift, "METASTABILITY IN FLUCTUATION-DRIVEN FIRST-ORDER TRANSITIONS - NUCLEATION OF LAMELLAR PHASES", Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(2), 1995, pp. 1828-1845

Abstract

The nucleation of a lamellar phase from a supercooled homogeneous phase in a fluctuation-driven first-order transition is studied, based ona phenomenological free energy due to Brazovskii (Zh. Eksp. Teor. Fit. 68, 175 (1975) [Sov. Phys. JETP 41, 85 (1975)]). The absence of phase coexistence in the corresponding mean-field approximation makes application of the standard droplet theory of homogeneous nucleation problematic. A self-consistent coarse-graining procedure is introduced to overcome this difficulty, and the barrier height for nucleation of a critical droplet is estimated in the weak-coupling limit. Contrary to earlier estimates, the critical droplet shape is shown to be anisotropicin general. Some effects of distortions and defects in the lamellar structure are considered and are shown to affect the critical droplet only very near coexistence, where the probability of nucleation vanishes. The coarse-graining procedure introduced here follows from a novel application of the momentum-shell renormalization-group method to systems in the Brazovskii class. Possible applications of the theory to the microphase separation transition in diblock copolymers and to Rayleigh-Benard convection are briefly discussed.

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Documento generato il 21/09/20 alle ore 19:16:08