Copolymer�homopolymer blends: global energy minimisation and global energy bounds

Gennip, Yves; Peletier, Mark
September 2008
Calculus of Variations & Partial Differential Equations;Sep2008, Vol. 33 Issue 1, p75
Academic Journal
We study a variational model for a diblock copolymer�homopolymer blend. The energy functional is a sharp-interface limit of a generalisation of the Ohta�Kawasaki energy. In one dimension, on the real line and on the torus, we prove existence of minimisers of this functional and we describe in complete detail the structure and energy of stationary points. Furthermore we characterise the conditions under which the minimisers may be non-unique. In higher dimensions we construct lower and upper bounds on the energy of minimisers, and explicitly compute the energy of spherically symmetric configurations.


Related Articles

  • Monte Carlo simulations of crystallization in heterogeneous copolymers: The role of copolymer fractions with intermediate comonomer content. Yang, Feng; Gao, Huanhuan; Hu, Wenbing // Journal of Materials Research;2012, Vol. 27 Issue 10, p1383 

    Heterogeneous copolymers contain diverse comonomer contents among copolymers, and the extremely diverse case becomes a binary polymer blend. We report a numerical study of crystallization in two series of heterogeneous copolymers that are separated with strong and weak heterogeneities of...

  • Spreading of diblock copolymer droplets: A probe of polymer micro-rheology. Croll, A. B.; Dalnoki-Veress, K. // European Physical Journal E -- Soft Matter;Jun2009, Vol. 29 Issue 2, p239 

    We present an experimental study of the spreading dynamics of symmetric diblock copolymer droplets above and below the order-disorder transition. Disordered diblock droplets are found to spread as a homopolymer and follow Tanner�s law (the radius grows as R ~ tm , where t is time and m =...

  • Modeling of polyethylene and poly (L-lactide) polymer blends and diblock copolymer: Chain length and volume fraction effects on structural arrangement. Wen-Jay Lee; Shin-Pon Ju; Yao-Chun Wang; Jee-Gong Chang // Journal of Chemical Physics;8/14/2007, Vol. 127 Issue 6, p064902 

    Dissipative particle dynamics (DPD), a mesoscopic simulation approach, has been used to investigate the chain length effect on the structural property of the immiscible polyethylene (PE)/poly(L-lactide) (PLLA) polymer in a polymer blend and in a system with their diblock copolymer. In this work,...

  • Phase behaviors of diblock copolymer-nanoparticle films under nanopore confinement. Qinghua Yang; Ming Li; Chaohui Tong; Yuejin Zhu // Journal of Chemical Physics;3/7/2009, Vol. 130 Issue 9, pN.PAG 

    We employ self-consistent-field and density-functional theories to simulate the phase behaviors of diblock copolymer-nanoparticle mixtures confined in a two-dimensional circular pore. By varying the block ratio, the size of the pore, and the particle concentration, rich phase structures are...

  • Length-dependent inversion of rectification in diblock co-oligomer diodes. Hu, G. C.; Zhang, G. P.; Ren, J. F.; Wang, C. K.; Xie, S. J. // Applied Physics Letters;8/22/2011, Vol. 99 Issue 8, p082105 

    The rectifying direction of diblock co-oligomer molecular diodes is investigated theoretically by analyzing the asymmetric bias effects on the molecular orbitals. The results reveal two competitive mechanisms in determining the rectifying direction, asymmetric energy shift of eigenstates and...

  • SBCs for Adhesive Formulations. Esquivel, Alejandro // Adhesives & Sealants Industry;Mar2009, Vol. 16 Issue 3, p19 

    The article discusses topics related to the importance of selecting proper styrene block copolymer (SBC) for an adhesive formulation. It explains that the main characteristic of SBC is its thermoplastic property, which is provided by the polystyrene blocks that can be found in polymer molecules....

  • Sphere-forming diblock copolymers in slit confinement: A dynamic density functional theory study. Hongge Tan; Qinggong Song; Xiaohui Niu; Ziyu Wang; Wenfang Gao; Dadong Yan // Journal of Chemical Physics;6/7/2009, Vol. 130 Issue 21, p214901 

    With mean-field dynamic density functional theory, we study the morphologies of sphere-forming diblock copolymers confined between two homogeneous surfaces. The effects of the film thickness and the surface field strength on the phase behavior of sphere-forming copolymer film are investigated....

  • Synthesis of Diblock copolymer poly-3-hydroxybutyrate block-poly-3-hydroxyhexanoate [PHB-b-PHHx] by a β-oxidation weakened Pseudomonas putida KT2442. Tripathi, Lakshmi; Lin-Ping Wu; Jinchun Chen; Guo-Qiang Chen // Microbial Cell Factories;2012, Vol. 11 Issue 1, p44 

    Background: The surface properties of probiotic bacteria influence to a large extent their interactions within the gut ecosystem. There is limited amount of information on the effect of the production process on the surface properties of probiotic lactobacilli in relation to the mechanisms of...

  • Microphase separation of rod-coil diblock copolymer in solution. Jiaping Lin; Shaoliang Lin; Liangshun Zhang; Nose, Takuhei // Journal of Chemical Physics;3/7/2009, Vol. 130 Issue 9, pN.PAG 

    Lattice theory of rigid rods is extended to describe the microphase separation behavior of a rod-coil diblock copolymer in solution. The free energy was formulated by inclusion of the energy terms arising from the core-corona interface between the rods and coils and the corona formed by the...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics