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We generalize the Fredrickson-Helfand theory of the microphase separation in symmetric diblock copolymer melts by taking into account the influence of a time-independent homogeneous electric field on the composition fluctuations within the…

Soft Condensed Matter · Physics 2009-11-13 I. Gunkel , S. Stepanow , T. Thurn-Albrecht , S. Trimper

Within the framework of an exactly solvable model, which takes into account the interaction of fluctuating modes with equal and opposite momenta, we consider phase diagrams in systems with coupled scalar order parameters. We show that, in…

Condensed Matter · Physics 2009-10-31 D. Nicolaides , A. A. Lisyansky

Composition fluctuations in disordered melts of symmetric diblock copolymers are studied by Monte Carlo simulation over a range of chain lengths and interaction strengths. Results are used to test three theories: (1) the random phase…

Soft Condensed Matter · Physics 2011-06-09 Jian Qin , David C. Morse

We study the effect of a random Flory-Huggins parameter in a symmetric diblock copolymer melt which is expected to occur in a copolymer where one block is near its structural glass transition. In the clean limit the microphase segregation…

Soft Condensed Matter · Physics 2009-11-11 Harry Westfahl , Joerg Schmalian

The nucleation of a lamellar phase from a supercooled homogeneous phase in a fluctuation driven first-order transition is studied, based on a phenomenological free energy due to Brazovskii. The absence of phase coexistence in the…

patt-sol · Physics 2009-10-28 P. C. Hohenberg , J. B , Swift

The dynamics of the domains is studied in a two-dimensional model of the microphase separation of diblock copolymers in the vicinity of the transition. A criterion for the validity of the mean field theory is derived. It is shown that at…

Condensed Matter · Physics 2009-10-28 C. B. Muratov

In underdoped cuprates fluctuations of the phase of the superconducting order parameter play a role due to the small superfluid density. We consider the effects of phase fluctuations assuming the exchange of spin fluctuations to be the…

Superconductivity · Physics 2009-11-07 C. Timm , D. Manske , K. H. Bennemann

We study the phase transitions of a random copolymer chain with quenched disorder. We apply a replica variational approach based on a Gaussian trial Hamiltonian in terms of the correlation functions of monomer Fourier coordinates. This…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. Moskalenko , Yu. A. Kuznetsov , K. A. Dawson

Motivated by the problem of domain formation in chromosomes, we studied a co--polymer model where only a subset of the monomers feel attractive interactions. These monomers are displaced randomly from a regularly-spaced pattern, thus…

Biomolecules · Quantitative Biology 2018-02-13 Matteo Negri , Marco Gherardi , Guido Tiana , Marco Cosentino Lagomarsino

In a one dimensional lattice thermal fluctuations destroy the long-range order making particles of the lattice move on a scale much larger than the lattice spacing. We discuss the assumption that this motion may be responsible for the…

Soft Condensed Matter · Physics 2015-05-13 A. V. Plyukhin

Effect of phase fluctuations on superconducting states with anisotropic order parameters is studied in a BCS like lattice model of cuprate superconductors. The degradation of the mean field transition temperature due to phase fluctuations…

Condensed Matter · Physics 2009-10-28 Biplab Chattopadhyay , D. M. Gaitonde , A. Taraphder

A copolymer is a chain of repetitive units (monomers) that are almost identical, but they differ in their degree of affinity for certain solvents. This difference leads to striking phenomena when the polymer fluctuates in a nonhomogeneous…

Probability · Mathematics 2010-11-11 Francesco Caravenna , Giambattista Giacomin

We study the effect of order parameter phase fluctuations on the single-particle properties of fermions in the underdoped cuprate superconductors using a phenomenological low-energy theory. We identify the fermion-phase field coupling as…

Superconductivity · Physics 2009-10-31 Hyok-Jon Kwon , Alan T. Dorsey

We investigate the phase behaviour of random copolymers melts via large scale Monte Carlo simulations. We observe macrophase separation into A and B--rich phases as predicted by mean field theory only for systems with a very large…

Soft Condensed Matter · Physics 2009-11-07 J. Houdayer , M. Mueller

We derive renormalization group equations which allow us to treat order parameter fluctuations near quantum phase transitions in cases where an expansion in powers of the order parameter is not possible. As a prototypical application, we…

Strongly Correlated Electrons · Physics 2013-05-29 P. Jakubczyk , W. Metzner , H. Yamase

We consider a disordered system of gapless fermions interacting with a singular transverse (2+1)-dimensional gauge-field. We study quantum corrections to fermion conductivity and show that they are very different from those in a Fermi…

Strongly Correlated Electrons · Physics 2009-11-11 Victor Galitski

We introduce a new disorder regime for directed polymers in dimension $1+1$ that sits between the weak and strong disorder regimes. We call it the intermediate disorder regime. It is accessed by scaling the inverse temperature parameter…

Probability · Mathematics 2014-03-28 Tom Alberts , Konstantin Khanin , Jeremy Quastel

Microphase separation in random multiblock copolymers is studied with mean-field theory assuming that long blocks of a copolymer are strongly segregated, whereas short blocks are able to penetrate into "alien" domains and exchange between…

Soft Condensed Matter · Physics 2021-01-12 E. N. Govorun , A. V. Chertovich

Fluctuation effects at first order phase transitions driven by changes of other-than-temperature factors like pressure, concentration, or external fields are investigated by perturbation theory. The results for the fluctuation contributions…

Statistical Mechanics · Physics 2017-01-10 Dimo I. Uzunov

This report deals with phase transition in Bond Fluctuation Model (BFM) of a linear homo polymer on a two dimensional square lattice. Each monomer occupies a unit cell of four lattice sites. The condition that a lattice site can at best be…

Soft Condensed Matter · Physics 2012-04-16 Hima Bindu Kolli , K. P. N. Murthy
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