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Related papers: Chain Diffusion in Lamellar Block Copolymers

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Using a transfer matrix technique, we calculate the entropy of polydisperse chains placed on a one-dimensional lattice, as a function of the density of internal and endpoint monomers. The polydispersivity is determined considering different…

Statistical Mechanics · Physics 2009-11-11 Jurgen F. Stilck , Minos A. Neta , Wellington G. Dantas

We have studied dimerized spin systems by realizing the cluster expansion to high order. We have extended our previous dimer expansion for one-dimensional systems to cover weakly interacting chains for a quantitative description of three…

Strongly Correlated Electrons · Physics 2009-11-07 H. -J. Mikeska , M. Mueller

Amphiphilic block copolymers self-assemble into diverse nanoscale morphologies with significant implications for drug delivery. This work presents systematic Brownian dynamics simulations of multi-chain diblock and triblock copolymers…

Soft Condensed Matter · Physics 2026-04-21 Ehsan Kamali Ahangar , Dominic Robe , Elnaz Hajizadeh

A nonequilibrium molecular dynamics computer simulation on microsegregated solutions of symmetrical diblock copolymers is reported. As the polymer concentration increases, the system undergoes phase transitions in the following order: body…

Soft Condensed Matter · Physics 2007-05-23 Igor Rychkov , Kenichi Yoshikawa

The behavior of the self diffusion constant of Langevin particles interacting via a pairwise interaction is considered. The diffusion constant is calculated approximately within a perturbation theory in the potential strength about the bare…

Soft Condensed Matter · Physics 2009-11-10 D. S. Dean , A. Lefèvre

The Markov chain approximation of a one-dimensional symmetric diffusion is investigated in this paper. Given an irreducible reflecting diffusion on a closed interval with scale function $s$ and speed measure $m$, the approximating Markov…

Probability · Mathematics 2020-04-16 Xiaodan Li , Jiangang Ying

We present a simple analytical theory of flexible polymer chain dissolved in a good solvent, carrying permanent freely oriented dipoles on the monomers. We take into account the dipole correlations within the random phase approximation…

Soft Condensed Matter · Physics 2017-03-17 Yu. A. Budkov , N. N. Kalikin , A. L. Kolesnikov

Synthetic polymers have a distribution of chain lengths which can be characterized by dispersity, D. Macroscopic properties of polymers are influenced by chain mobility in the melt and manipulating D can significantly impact these…

Chemical Physics · Physics 2024-09-30 Taofeek Tejuosho , Sohil Kollipara , Sumant Patankar , Janani Sampath

Polymer chains dissolved in a solvent take random conformations due to large internal degrees of freedom and are characterized geometrically by their average shape and size. The diffusive dynamics of such large macromolecules play an…

Soft Condensed Matter · Physics 2023-07-11 Prabeen Kumar Pattnayak , Aloke Kumar , Gaurav Tomar

The nucleation of a droplet of stable cylinder phase from a metastable lamellar phase is examined within the single-mode approximation to the Brazovskii model for diblock copolymer melts. By employing a variational ansatz for the droplet…

Soft Condensed Matter · Physics 2009-11-10 Robert A. Wickham , An-Chang Shi , Zhen-Gang Wang

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

In this paper a lattice model for the diffusional transport of particles in the interphase cell nucleus is proposed. The dynamic behaviour of single chains on the lattice is investigated and Rouse scaling is verified. Dynamical dense…

Biological Physics · Physics 2015-05-13 Annika Wedemeier , Holger Merlitz , Chen-Xu Wu , Jörg Langowski

In this paper, we employ Molecular Dynamics computer simulations to study and compare the statics and dynamics of linear and circular (ring) polymer chains in entangled solutions of different densities. While we confirm that linear chain…

Soft Condensed Matter · Physics 2016-02-17 Negar Nahali , Angelo Rosa

We investigate the mechanism of chain exchange in diblock copolymer micelles using two distinct yet complementary simulation techniques. First, enhanced sampling method is combined with coarse-grained molecular dynamics to compute a…

Soft Condensed Matter · Physics 2025-09-09 Samuel Varner , Marcus Müller , Alejandro Gallegos , Timothy P. Lodge , Kevin D. Dorfman , Zhen-Gang Wang

Herein an alternative model to reptation to describe concentrated polymer dynamics is developed. The model assumes that the chains act as blobs that are able to diffuse past each other in a compressed state. Allowing that the local…

Soft Condensed Matter · Physics 2022-02-25 Dave E. Dunstan

A cell dynamics method for domain separation of diblock copolymers (DBCPs) interacting with nanoparticles (NPs) whose diffusion coefficients depend on chain configuration is proposed for self-assembly of DBCP/NP composites. Increasing NP…

Materials Science · Physics 2009-04-02 Fabio D. A. Aarao Reis

The phase behaviour of blends of ABC triblock and ac diblock copolymers is examined using self-consistent field theory. Several equilibrium lamellar structures are observed, depending on the volume fraction of the diblocks, phi_2, the…

Soft Condensed Matter · Physics 2009-11-07 Robert A. Wickham , An-Chang Shi

The analytical solution of the recently proposed ideal chain polymer mean-spherical approximation (Yu.Kalyuzhnyi, Mol.Phys., 94, 735(1998)) is presented for the multicomponent mixture of charged hard-sphere linear chain flexible molecules.…

Condensed Matter · Physics 2009-11-07 Yu. V. Kalyuzhnyi , P. T. Cummings

We consider a model system in which anomalous diffusion is generated by superposition of underlying linear modes with a broad range of relaxation times. In the language of Gaussian polymers, our model corresponds to Rouse (Fourier) modes…

Statistical Mechanics · Physics 2010-03-11 Assaf Amitai , Yacov Kantor , Mehran Kardar

We consider a linear polymer chain in a disordered environment modeled by percolation clusters on a square lattice. The disordered environment is meant to roughly represent molecular crowding as seen in cells. The model may be viewed as the…

Statistical Mechanics · Physics 2015-05-13 Amit Raj Singh , Debaprasad Giri , Sanjay Kumar