X iv : c on d - m at / 9 60 51 02 v 1 1 6 M ay 1 99 6 A Phase - Field Model of Spiral Dendritic Growth

نویسنده

  • Herbert Levine
چکیده

Domains of condensed-phase monolayers of chiral molecules exhibit a variety of interesting nonequilibrium structures when formed via pressurization. To model these domain patterns, we add a complex field describing the tilt degree of freedom to an (anisotropic) complex-phase-field solidification model. The resulting formalism allows for the inclusion of (in general, non-reflection symmetric) interactions between the tilt, the solid-liquid interface, and the bond orientation. Simulations demonstrate the ability of the model to exhibit spiral dendritic growth. Typeset using REVTEX 1

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

X iv : c on d - m at / 9 60 41 90 v 1 1 M ay 1 99 6 Circular phase of a two dimensional ferromagnet with dipolar interactions

We make for the first time a large-scale Monte-Carlo simulation of a fer-romagnetic Heisenberg model with dipolar interactions on a two dimensional square lattice with open boundaries using an efficient new technique. We find that a phase transition occurs in the model and the ordered phase is characterized by a circular arrangement of the spins.

متن کامل

ar X iv : c on d - m at / 9 60 51 41 v 1 2 2 M ay 1 99 6 Spread width for two interacting particles in one - dimensional random potential

For two interacting particles (TIP) in one-dimensional random potential the dependence of the spread width Γ, the local density of states and the TIP localization length on system parameters is determined analytically. The theoretical predictions for Γ are confirmed by numerical simulations.

متن کامل

ar X iv : c on d - m at / 9 60 50 32 v 1 6 M ay 1 99 6 THE LOW - TEMPERATURE PHASE OF KAC - ISING MODELS

We analyse the low temperature phase of ferromagnetic Kac-Ising models in dimensions d ≥ 2. We show that if the range of interactions is γ, then two disjoint translation invariant Gibbs states exist, if the inverse temperature β satisfies β − 1 ≥ γ, where κ = d(1−ǫ) (2d+1)(d+1) , for any ǫ > 0. The prove involves the blocking procedure usual for Kac models and also a contour representation for ...

متن کامل

ar X iv : c on d - m at / 9 60 51 84 v 1 2 9 M ay 1 99 6 WU - JIK - 96 - 2 Electrostriction of Polar Glasses

We develop a finite temperature theory for the susceptibility and electrostriction of isotropic substances in which permanent electric dipoles are restrained from free rotation by elastic forces. All parameters are constrained by the measured susceptibility and elastic constants. When applied to polyurethane, the predicted electrostriction is approximately consistent with some of the wide range...

متن کامل

ar X iv : c on d - m at / 9 60 51 64 v 1 2 7 M ay 1 99 6 Influence of electron phonon interaction on superexchange

We investigate the influence of electron-phonon coupling on the superex-change interaction of magnetic insulators. Both the Holstein-Hubbard model where the phonons couple to the electron density, as well as an extended Su, Schrieffer, Heeger model where the coupling arises from modulation of the overlap integral are studied using exact diagonalization and perturba-tive methods. In all cases fo...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1996