Statistical Thermodynamics of Copolymers and their Blends

Кучанов, С.И.; Panyukov, Sergey

doi:10.1016/b978-0-08-096701-1.00252-4

Cited by 10 publications

(37 citation statements)

References 131 publications

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“…That is why it seems to be expedient to start with systems describable using the Landau theory with the one-component OP (4) and to show thereafter how the diagrammatic algorithm works as applied to the case of the twocomponent OP (6).…”

Section: General Treatmentmentioning

confidence: 99%

“…Let us extend it now to systems wherein the OPψ(q) is a two-component one (6). For such systems the wavevectors entering HS1 will have two different lengths q * l < q * s .…”

Section: General Treatmentmentioning

confidence: 99%

“…. , q l ) are assumed to be known at arbitrary values of the arguments from the general microscopic theory [6,13]. The algorithm proposed permits specifying the set of just those values of the arguments of these functions at which their values are Γ (ij) γkγ .…”

Section: Vertex Function Factorsmentioning

confidence: 99%

“…Besides, this theory has found a wide utility in dealing with the spatially periodic equilibrium mesophases formed in melts and concentrated solutions of heteropolymers whose macromolecules consist of blocks of identical monomeric units (see, for example, [4]- [6] and references therein). Such mesophases appear due to the molecular connectivity between different type units which prevent ordinary macroscopic phase separation in the temperature range where they become incompatible.…”

Section: Introductionmentioning

confidence: 99%

“…Minimizing functional (2), it is possible to find the Fourier transform of the equilibrium concentrations ρ α (r) of the units of α-th type. Because rigorous minimization of this functional involves serious computational difficulties, in order to construct a phase diagram in the vicinity of the critical point of a heteropolymer liquid the following operating sequence is generally adopted [4]- [6].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Multiple-Reflection Effects in Optical Second-Harmonic Generation

Morita

Kondo

Kaneda

et al. 1988

Jpn. J. Appl. Phys.

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An original diagrammatic technique is advanced for calculating, in the first-harmonic approximation of the Weak Segregation Limit theory, the coefficients of the amplitude expansion of the Landau free energy for a melt of a binary incompressible heteropolymer comprising linear macromolecules with arbitrary chemical structure. A universal approach to the calculation of these coefficients for heteropolymer liquids describable using the Landau theory of phase transitions with a two-component order parameter is put forward for the first time. This approach proves to be particularly efficient in a theoretical consideration of the thermodynamic behaviour of multiblock copolymers whose macromolecules contain blocks of two types substantially differing in length. A general algorithm for finding the coefficients of the amplitude expansion of the Landau free energy in such systems is formulated for a number of mesophases showing two characteristic scales of spatial periodicity. The application of this algorithm is exemplified by considering a deformed hexagonally perforated lamellar mesophase.

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Section: General Treatmentmentioning

confidence: 99%

“…Let us extend it now to systems wherein the OPψ(q) is a two-component one (6). For such systems the wavevectors entering HS1 will have two different lengths q * l < q * s .…”

Section: General Treatmentmentioning

confidence: 99%

Section: Vertex Function Factorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Multiple-Reflection Effects in Optical Second-Harmonic Generation

Morita

Kondo

Kaneda

et al. 1988

Jpn. J. Appl. Phys.

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Ordering in Stretched Bernoullian Copolymers

Litmanovich

Kudryavtsev

Kriksin

et al. 2003

Macro Theory & Simulations

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A new approach is suggested to estimate the theoretical maximum capability to order for stretched Bernoullian copolymers AB, provided interchain AB contacts are unfavorable. A simple Monte Carlo procedure simulating the ordering of such copolymers via rotation of ring‐shaped chains reveals the capability to order even for quite long copolymer chains. The analytical probabilistic consideration is elaborated, which enables one to interpret the ordering via rotation in terms of a sliding of periodic Bernoullian chains. Using both the probabilistic analysis and Monte Carlo simulations it is shown that estimations of a capability to order given by the rotation procedure are also good for a sliding of true Bernoullian copolymers. Therefore, the simple Monte Carlo procedure seems suitable for estimating ordering in other classes of copolymers for which an analytical approach is more complicated. Such estimations might be useful for a consideration of various properties of irregular copolymers connected with their tendency to order.

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