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Related papers: Field - Driven Translocation of Regular Block Copo…

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We propose a mean-field (MF) approximation for the recurrence relation governing the dynamics of $m$ species of particles on a square lattice, and we simultaneously perform Monte Carlo (MC) simulations under identical initial conditions to…

Statistical Mechanics · Physics 2025-06-23 Eduardo Velasco Stock , Roberto da Silva , Sebastian Gonçalves

We investigate the crystallization of a single, flexible homopolymer chain using transition path sampling (TPS). The chain consists of N identical spherical monomers evolved according to Langevin dynamics. While neighboring monomers are…

Soft Condensed Matter · Physics 2016-08-17 Christian Leitold , Christoph Dellago

We study the translocation dynamics of a polymer chain threaded through a nanopore by an external force. By means of diverse methods (scaling arguments, fractional calculus and Monte Carlo simulation) we show that the relevant dynamic…

Statistical Mechanics · Physics 2007-07-29 J. L. A. Dubbeldam , A. Milchev , V. G. Rostiashvili , T. A. Vilgis

The properties of diluted symmetric A-B diblock copolymers at the interface between A and B homopolymer phases are studied by means of Monte Carlo (MC) simulations of the bond fluctuation model. We calculate segment density profiles as well…

Chemical Physics · Physics 2015-06-26 A. Werner , F. Schmid , K. Binder , M. Mueller

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 review recent progress on the theory of dynamics of polymer translocation through a nanopore based on the iso-flux tension propagation (IFTP) theory. We investigate both pore-driven translocation of flexible and a semi-flexible polymers,…

Soft Condensed Matter · Physics 2018-10-16 Jalal Sarabadani , Tapio Ala-Nissila

We demonstrate that the source to target mean first passage time (MFPT) is approximately given by the potential difference of an electrostatic problem which shows that the MFPT scales like the resistance between the target and a distant…

Statistical Mechanics · Physics 2009-09-21 Anthony P. Roberts , Christophe P. Haynes

We present a detailed study of the static and dynamic behavior of long semiflexible polymer chains in a melt. Starting from previously obtained fully equilibrated high molecular weight polymer melts [{\it Zhang et al.} ACS Macro Lett. 3,…

Soft Condensed Matter · Physics 2016-05-25 Hsiao-Ping Hsu , Kurt Kremer

The properties of the interface in a phase-separated solution of polymers with different degrees of polymerization and Kuhn segment lengths are calculated. The starting point is the planar interface, the profile of which is calculated in…

Soft Condensed Matter · Physics 2015-06-15 R. H. Tromp , E. M. Blokhuis

The adsorption of a single multi-block $AB$-copolymer on a solid planar substrate is investigated by means of computer simulations and scaling analysis. It is shown that the problem can be mapped onto an effective homopolymer adsorption…

Soft Condensed Matter · Physics 2008-06-27 Swati Bhattacharya , Hsiao-Ping Hsu , Andrey Milchev , Vakhtang G. Rostiashvili , Thomas A. Vilgis

We perform an in-depth study for mean first-passage time (MFPT)---a primary quantity for random walks with numerous applications---of maximal-entropy random walks (MERW) performed in complex networks. For MERW in a general network, we…

Statistical Mechanics · Physics 2014-06-17 Yuan Lin , Zhongzhi Zhang

We consider a model consisting of a self-avoiding polygon occupying a variable density of the sites of a square lattice. A fixed energy is associated with each $90^\circ$-bend of the polygon. We use a grand canonical ensemble, introducing…

Soft Condensed Matter · Physics 2015-05-20 David Aristoff , Charles Radin

We carefully examine common measures of dynamical heterogeneity for a model polymer melt and test how these scales compare with those hypothesized by the Adam and Gibbs (AG) and random first-order transition (RFOT) theories of relaxation in…

Soft Condensed Matter · Physics 2015-06-15 Francis W. Starr , Jack F. Douglas , Srikanth Sastry

Theoretical derivation and numerical confirmation are provided for the scaling of pore-blockade times as $N^{2+\nu}$ for unbiased translocation in two and three dimensions, with $N$ as the polymer length and $\nu$ as the Flory exponent of…

Soft Condensed Matter · Physics 2010-02-12 Debabrata Panja , Gerard T. Barkema

Computer simulations were used to study the gel transition occurring in colloidal systems with short range attractions. A colloid-polymer mixture was modelled and the results were compared with mode coupling theory expectations and with the…

Soft Condensed Matter · Physics 2009-11-07 Antonio M. Puertas , Matthias Fuchs , Michael E. Cates

We consider the dynamics of polymer translocation out of confined environments. Analytic scaling arguments lead to the prediction that the translocation time scales like $\tau\sim N^{\beta+\nu_{2D}}R^{1+(1-\nu_{2D})/\nu}$ for translocation…

Soft Condensed Matter · Physics 2009-08-11 Kaifu Luo , Ralf Metzler , Tapio Ala-Nissila , See-Chen Ying

The properties of the mean first passage time in a system characterized by multiple periodic attractors are studied. Using a transformation from a high dimensional space to 1D, the problem is reduced to a stochastic process along the path…

Mathematical Physics · Physics 2007-05-23 Avner Priel

The determination of mean first-passage time (MFPT) for random walks in networks is a theoretical challenge, and is a topic of considerable recent interest within the physics community. In this paper, according to the known connections…

Statistical Mechanics · Physics 2010-01-30 Zhongzhi Zhang , Yi Qi , Shuigeng Zhou , Shuyang Gao , Jihong Guan

We present event distributions for the polymer translocation obtained by extensive Langevin dynamics simulations. Such distributions have not been reported previously and they provide new understanding of the stochastic characteristics of…

Soft Condensed Matter · Physics 2012-04-13 R. P. Linna , K. Kaski

We study random copolymers consisted of two kinds of monomers with attraction between similar kinds. The mean field analysis of this system indicates a continuous phase transition into a phase with periodic microdomain structure. It is…

Condensed Matter · Physics 2009-10-22 A. M. Gutin , C. D. Sfatos , E. I. Shakhnovich