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We analyze the motion of individual beads of a polymer chain using a discrete version of De Gennes' reptation model that describes the motion of a polymer through an ordered lattice of obstacles. The motion within the tube can be evaluated…

Soft Condensed Matter · Physics 2016-08-15 U. Ebert , L. Schäfer , A. Baumgärtner

Diffusion of ions through a fluctuating polymeric host is studied both by Monte Carlo simulation of the complete system dynamics and by dynamic bond percolation (DBP) theory. Comparison of both methods suggests a multiscale-like approach…

Condensed Matter · Physics 2007-05-23 O. Durr , W. Dieterich , A. Nitzan

Shear flow is known to induce huge density fluctuations in otherwise clear and uniform polymer solutions. This effect is rooted in the elasticity of the entangled polymer network, and can span distances over a thousand chains wide. It has…

Computational Physics · Physics 2018-08-21 Airidas Korolkovas

We use molecular dynamics simulations to investigate the tracer diffusion in a sea of polymers with specific binding zones for the tracer. These binding zones act as traps. Our simulations show that the tracer can undergo normal yet…

Soft Condensed Matter · Physics 2016-09-22 Nairhita Samanta , Rajarshi Chakrabarti

A controllable soft solid is realised in vortex matter in a type II superconductor. The two-dimensional unit cell area can be varied by a factor of $10^4$ in the solid phase, without a change of crystal symmetry offering easy exploration of…

Soft Condensed Matter · Physics 2019-04-11 Jonathan S. Watkins , Nicola K. Wilkin

Random walks are studied on disordered cellular networks in 2-and 3-dimensional spaces with arbitrary curvature. The coefficients of the evolution equation are calculated in term of the structural properties of the cellular system. The…

Disordered Systems and Neural Networks · Physics 2009-10-28 Tomaso Aste

We study the translocation process of a polymer in the absence of external fields for various pore diameters $b$ and membrane thickness $L$. The polymer performs Rouse and reptation dynamics. The mean translocation time $<\tau_t>$ that the…

Soft Condensed Matter · Physics 2007-05-23 Joanne Klein Wolterink , Gerard T. Barkema , Debabrata Panja

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

We investigate the outflux of ions through the channels in a cell membrane. The channels undergo an open/close cycle according to a periodic schedule. Our study is based both on theoretical considerations relying on homogenization theory,…

Analysis of PDEs · Mathematics 2014-11-21 D. Andreucci , D. Bellaveglia , E. N. M. Cirillo

Lattice model of directed self avoiding walk is used to investigate adsorption properties of a semiflexible sequential copolymer chain on an impenetrable curved surface on a hexagonal lattice in two dimensions. Walks of the copolymer chains…

Statistical Mechanics · Physics 2010-06-02 Pramod Kumar Mishra

We study in detail a one-dimensional lattice model of a continuum, conserved field (mass) that is transferred deterministically between neighbouring random sites. The model falls in a wider class of lattice models capturing the joint effect…

Statistical Mechanics · Physics 2023-11-01 Stefano Lepri , Paolo Politi , Arkady Pikovsky

A lattice model for active matter is studied numerically, showing that it displays wettings transitions between three distinctive phases when in contact with an impenetrable wall. The particles in the model move persistently, tumbling with…

Soft Condensed Matter · Physics 2017-09-13 Néstor Sepúlveda , Rodrigo Soto

We study uniform 3-star polymers with one branch tethered to an attractive surface and another branch pulled by a force away from the surface. Each branch of the 3-star lattice is modelled as a self-avoiding walk on the simple cubic lattice…

Statistical Mechanics · Physics 2019-05-30 C J Bradly , A L Owczarek

Reaction-diffusion systems where transition rates exhibit quenched disorder are common in physical and chemical systems. We study pair reactions on a periodic two-dimensional lattice, including continuous deposition and spontaneous…

Disordered Systems and Neural Networks · Physics 2010-11-10 A. Wolff , I. Lohmar , J. Krug , Y. Frank , O. Biham

For a two-dimensional system of agents modeled by molecular dynamics, we simulate epidemics spreading, which was recently studied on complex networks. Our resulting network model is time-evolving. We study the transitions to spreading as…

Statistical Mechanics · Physics 2009-11-10 M. C. Gonzalez , H. J. Herrmann

The function of a real network depends not only on the reliability of its own components, but is affected also by the simultaneous operation of other real networks coupled with it. Robustness of systems composed of interdependent network…

Physics and Society · Physics 2015-07-10 Filippo Radicchi

The equilibrium partitioning of linear polymer chains into flexible polymer networks is governed by intricate entropic constraints arising from configurational degrees of freedom of both chains and network, yet a quantitative understanding…

Soft Condensed Matter · Physics 2025-05-09 Haruki Takarai , Takashi Yasuda , Naoyuki Sakumichi , Takamasa Sakai

The swelling kinetics of charged polymer gels reflect the complex competition among elastic, mixing, and ionic contributions. Here, we used dynamic light scattering to investigate the collective diffusion coefficient of model gels, whose…

Soft Condensed Matter · Physics 2024-02-01 Shoei Sano , Takashi Yasuda , Takeshi Fujiyabu , Naoyuki Sakumichi , Takamasa Sakai

We expand on a recent study of a lattice model of interacting particles [Phys. Rev. Lett. 111, 110601 (2013)]. The adsorption isotherm and equilibrium fluctuations in particle number are discussed as a function of the interaction. Their…

Statistical Mechanics · Physics 2014-11-20 T. Becker , K. Nelissen , B. Cleuren , B. Partoens , C. Van den Broeck

The properties of a particle diffusing on a one-dimensional lattice where at each site a random barrier and a random trap act simultaneously on the particle are investigated by numerical and analytical techniques. The combined effect of…

Condensed Matter · Physics 2009-10-28 Achille Giacometti , K. P. N. Murthy