Evolution in off-critical diblock copolymer melts

نویسندگان

  • Michael Helmers
  • Barbara Niethammer
  • Xiaofeng Ren
چکیده

We study the evolution of diblock copolymer melts in which one component has small volume fraction. In this case one observes phase morphologies which consist of small spheres of the minority component embedded in the other component. Based on the Ohta-Kawasaki free energy one can set up an evolution equation which has the interpretation of a gradient flow. We restrict this gradient flow to morphologies in which the minority phase consists of spheres and derive monopole approximations for different parameter regimes. We use these approximations for simulations of large particle systems.

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

Loss of convexity for a modified Mullins-Sekerka model arising in diblock copolymer melts†

This modified (two-sided) Mullins-Sekerka model is a nonlocal evolution model for closed hypersurfaces, which appears as a singular limit of a modified Cahn-Hilliard equation describing microphase separation of diblock copolymer. Under this evolution the propagating interfaces maintain the enclosed volumes of the two phases. We will show by means of an example that this model does not preserve ...

متن کامل

Polydispersity-induced macrophase separation in diblock copolymer melts.

The effect of A-block polydispersity on the phase behavior of AB-diblock copolymer melts is examined using a complete self-consistent field theory treatment that allows for fractionation of the parent molecular-weight distribution. In addition to observing the established shift in phase boundaries, we find the emergence of significant two-phase coexistence regions causing, for instance, the dis...

متن کامل

A rigorous derivation of mean-field models for diblock copolymer melts

We study the free boundary problem describing the micro phase separation of diblock copolymer melts in the regime that one component has small volume fraction such that micro phase separation results in an ensemble of small spheres of one component. Mean-field models for the evolution of a large ensemble of such spheres have been formally derived in [6, 11]. It turns out that on a time scale of...

متن کامل

Self-consistent field approach for cross-linked copolymer materials.

A generalized self-consistent field approach for polymer networks with a fixed topology is developed. It is shown that the theory reproduces the localization of cross-links, which is characteristic for gels. The theory is then used to study the order-disorder transition in regular networks of end-linked diblock copolymers. Compared to diblock copolymer melts, the transition is shifted towards l...

متن کامل

Diblock Copolymer / Homopolymer Blends: Derivation of a Density Functional Theory

Melts of diblock copolymer / homopolymer blends exhibit multiscale phase separation: (i) macrophase separation into homopolymerand copolymer-rich macrodomains followed by (ii) microphase separation into Aand B-rich microdomains within the copolymer-rich macrodomains (cf. [16, 17, 26]). Following our previous derivation in [6], we derive a density functional theory for blends. This theory has be...

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:
  • NHM

دوره 3  شماره 

صفحات  -

تاریخ انتشار 2008