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A combination of reaction-diffusion models with moving-boundary problems yields a system in which the diffusion (spreading and penetration) and reaction (transformation) evolve the system's state and geometry over time. These systems can be…

Computational Engineering, Finance, and Science · Computer Science 2020-08-26 Mojtaba Barzegari , Liesbet Geris

The effect of rotational constraint on the properties of lattice models like the self-avoiding walk, lattice animals and percolation is discussed. The results obtained so far, using a variety of exact and approximate techniques, are…

Statistical Mechanics · Physics 2008-02-03 Indrani Bose

We study by computer simulation a recently introduced generalised model of self-interacting self-avoiding trails on the square lattice that distinguishes two topologically different types of self-interaction: namely crossings where the…

Statistical Mechanics · Physics 2013-02-01 A. Bedini , A. L. Owczarek , T. Prellberg

Transient size segregation of a bi-disperse granular mixture flowing over a periodic chute is studied using the Discrete Element Method and continuum simulations. A recently developed particle force-based size segregation model is used to…

Soft Condensed Matter · Physics 2025-07-08 Soniya Kumawat , Vishnu Kumar Sahu , Anurag Tripathi

We present molecular dynamics study of a generic (coarse-grained) model for single-polymer diffusion confined in a corrugated cylinder. For a narrow tube, i.e., diameter of the cylinder $\delta < 2.3$, the axial diffusion coefficient…

Soft Condensed Matter · Physics 2015-06-11 A. De Virgiliis , L. Kuban , J. Paturej , D. Mukherji

In this paper we establish a new efficient method for simulating polymer-solvent systems which combines a lattice Boltzmann approach for the fluid with a continuum molecular dynamics (MD) model for the polymer chain. The two parts are…

Soft Condensed Matter · Physics 2009-10-31 Patrick Ahlrichs , Burkhard Duenweg

We use a one-dimensional random walk on $D$-dimensional hyper-spheres to determine the critical behavior of statistical systems in hyper-spherical geometries. First, we demonstrate the properties of such walk by studying the phase diagram…

High Energy Physics - Lattice · Physics 2009-10-22 S. Boettcher

The transport coefficients of dense polymeric fluids are approximately calculated from the microscopic intermolecular forces. The following finite molecular weight effects are discussed within the Polymer-Mode-Coupling theory (PMC) and…

Condensed Matter · Physics 2009-10-30 Matthias Fuchs , Kenneth S. Schweizer

To develop robust manipulation policies, quantifying robustness is essential. Evaluating robustness in general manipulation, nonetheless, poses significant challenges due to complex hybrid dynamics, combinatorial explosion of possible…

Robotics · Computer Science 2024-10-28 Yifei Dong , Xianyi Cheng , Florian T. Pokorny

We explore the critical behaviour of two and three dimensional lattice models of polymers in dilute solution where the monomers carry a magnetic moment which interacts ferromagnetically with near-neighbour monomers. Specifically, the model…

Statistical Mechanics · Physics 2021-08-25 Damien Paul Foster , Debjyoti Majumdar

We numerically investigate the dynamic heterogeneity and its length scale found in the coarse-grained ionic liquid model systems. In our ionic liquid model systems, cations are modeled as dimers with positive charge, while anions are…

Soft Condensed Matter · Physics 2016-03-10 Soree Kim , Sang-Won Park , YounJoon Jung

I develop a kinetic mechanism to explain chain folding in polymer crystallization which is based on the competition between the formation of stems, which is due to frequent occupations of trans states along the chains in the supercooled…

Soft Condensed Matter · Physics 2014-09-23 S. Stepanow

We consider the rate of transition for a particle between two metastable states coupled to a thermal environment for various magnitudes of the coupling strength, using the recently proposed infrequent metadynamics approach (Tiwary and…

Soft Condensed Matter · Physics 2016-05-04 Pratyush Tiwary , B. J. Berne

Understanding the complex viscoelastic properties of polymeric liquids remains a challenge in materials science and soft matter physics. Here, we present a simple and computationally efficient criterion for the topological constraints in…

Soft Condensed Matter · Physics 2007-05-23 P. Nikunen , I. Vattulainen , M. Karttunen

Characteristics of relaxed density profile and conformation of polymer chains are studied by a Monte Carlo simulation on a discrete lattice in three dimensions using different segmental (kink-jump $K$, crank-shaft $C$, reptation $R$)…

Soft Condensed Matter · Physics 2007-05-23 Frank W. Bentrem , Jun Xie , R. B. Pandey

Diffusion properties of a self-avoiding polymer embedded in regularly distributed obstacles with spacing a=20 and confined in two dimensions is studied numerically using the extended bond fluctuation method which we have developed recently.…

Soft Condensed Matter · Physics 2009-10-31 Ryuzo Azuma , Hajime Takayama

We study theoretically situations where competition arises between an interdiffusion process and a cross-linking chemical reaction at interfaces between pieces of the same polymer material. An example of such a situation is observable in…

Soft Condensed Matter · Physics 2009-11-07 Achod Aradian , Elie Raphael , Pierre-Gilles de Gennes

We theoretically investigate the kinetics of the folding transition of a single semiflexible polymer. In the folding transition, the growth rate decrease with an increase in the number of monomers in a collapsed domain, suggesting that the…

Soft Condensed Matter · Physics 2009-11-13 Natsuhiko Yoshinaga

Cross-diffusion systems arise as hydrodynamic limits of lattice multi-species interacting particle models. The objective of this work is to provide a numerical scheme for the simulation of the cross-diffusion system identified in [J.…

Numerical Analysis · Mathematics 2023-09-06 Jad Dabaghi , Virginie Ehrlacher , Christoph Strössner

We introduce a fiber bundle model where the interaction among fibers is modeled by an adjustable stress-transfer function which can interpolate between the two limiting cases of load redistribution, the global and the local load sharing…

Statistical Mechanics · Physics 2009-11-07 Raul Cruz Hidalgo , Yamir Moreno , Ferenc Kun , Hans J. Herrmann