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Related papers: Polymerization with Freezing

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We report molecular dynamics simulations of a gel-forming mixture of ellipsoidal patchy particles with different functionality. We show that in this model, which disfavors the formation of bond-loops, elapsed time during irreversible…

Disordered Systems and Neural Networks · Physics 2009-03-09 Silvia Corezzi , Cristiano De Michele , Emanuela Zaccarelli , Piero Tartaglia , Francesco Sciortino

Thermoreversible sol-gel transitions in solutions of rod-like associating polymers are analyzed by computer simulations and by mean field models. The sol-gel transition is determined by the divergence of the cluster weight average. The…

Condensed Matter · Physics 2015-06-24 Min Sun Yeom , Alexander V. Ermoshkin , Monica Olvera de la Cruz

We consider the gelation of particles which are permanently connected by random crosslinks, drawn from an ensemble of finite-dimensional continuum percolation. To average over the randomness, we apply the replica trick, and interpret the…

Soft Condensed Matter · Physics 2009-11-07 Kurt Broderix , Martin Weigt , Annette Zippelius

We investigate the aggregation kinetics of a simulated telechelic polymer gel. In the hybrid Molecular Dynamics (MD) / Monte Carlo (MC) algorithm, aggregates of associating end groups form and break according to MC rules, while the position…

Soft Condensed Matter · Physics 2013-05-29 Mark Wilson , Avinoam Rabinovitch , Arlette R. C. Baljon

A Landau-type phenomenological cluster theory was presented to model the freezing process of local polarization in relaxors. Based on the theory, the proportion of frozen polarization in Pb(Mg$_{1/3}$Nb$_{2/3}$)O$_3$-PbTiO$_3$ (PMNT) was…

Materials Science · Physics 2009-11-07 Zhi-Rong Liu , Yong Zhang , Bing-Lin Gu , Xiao-Wen Zhang

Irreversible diffusion limited cluster aggregation (DLCA) of hard spheres was simulated using Brownian cluster dynamics. Bound spheres were allowed to move freely within a specified range, but no bond breaking was allowed. The structure and…

Soft Condensed Matter · Physics 2009-03-25 Sujin Babu , Jean-Christophe Gimel , Taco Nicolai

Using adiabatic hydrodynamical simulations, we follow the evolution of two symmetric cold fronts developing in the remnant of a violent z=0.3 massive cluster merger. The structure and location of the simulated cold fronts are very similar…

Astrophysics · Physics 2009-11-10 H. Mathis , G. Lavaux , J. M. Diego , J. Silk

We use molecular dynamics simulations to study a model of the gelation transition with a dynamic bond forming procedure. After establishing evidence for 3D percolation as the static universality class, we turn our attention to the dynamics…

Statistical Mechanics · Physics 2007-05-23 Sune Norhoj Jespersen

Even simple active systems can show a plethora of intriguing phenomena and often we find complexity were we would have expected simplicity. One striking example is the occurrence of a quiescent or absorbing state with frozen fluctuations…

Biological Physics · Physics 2015-05-30 Volker Schaller , Christoph Weber , Benjamin Hammerich , Erwin Frey , Andreas R. Bausch

Irreversible aggregation is revisited in view of recent work on renormalization of complex networks. Its scaling laws and phase transitions are related to percolation transitions seen in the latter. We illustrate our points by giving the…

Data Analysis, Statistics and Probability · Physics 2011-08-26 Seung-Woo Son , Golnoosh Bizhani , Claire Christensen , Peter Grassberger , Maya Paczuski

We present a detailed study of the kinetic cluster growth process during gelation of weakly attractive colloidal particles by means of experiments on critical Casimir attractive colloidal systems, simulations and analytical theory. In the…

Soft Condensed Matter · Physics 2021-02-04 Joep Rouwhorst , Peter Schall , Christopher Ness , Theo Blijdenstein , Alessio Zaccone

We show how hydrostatic equilibrium in galaxy clusters can be quantitatively probed combining X-ray, SZ, and gravitational-lensing data. Our previously published method for recovering three-dimensional cluster gas distributions avoids the…

Astrophysics · Physics 2009-11-13 Ewald Puchwein , Matthias Bartelmann

Numerical simulations of Diffusion-Limited and Reaction-Limited Cluster-Cluster Aggregation processes of identical particles are performed in a two-dimensional box. It is shown that, for concentrations larger than a characteristic gel…

Condensed Matter · Physics 2009-10-28 Anwar Hasmy , Rémi Jullien

We study the effects of long range interactions on the phases observed in cohesive granular materials. At high vibration amplitudes, a gas of magnetized particles is observed with velocity distributions similar to non-magnetized particles.…

Soft Condensed Matter · Physics 2009-11-07 Daniel L. Blair , A. Kudrolli

A statistical description of heavy particles suspended in incompressible rough self-similar flows is developed. It is shown that, differently from smooth flows, particles do not form fractal clusters. They rather distribute inhomogeneously…

Chaotic Dynamics · Physics 2007-05-23 J. Bec , M. Cencini , R. Hillerbrand

A new model that describes adsorption and clustering of particles on a surface is introduced. A {\it clustering} transition is found which separates between a phase of weakly correlated particle distributions and a phase of strongly…

Statistical Mechanics · Physics 2009-10-31 Ofer Biham , Ofer Malcai , Daniel A. Lidar , David Avnir

We study conserved one-dimensional models of particle diffusion, attachment and detachment from clusters, where the detachment rates decrease with increasing cluster size as gamma(m) ~ m^{-k}, k>0. Heuristic scaling arguments based on…

Statistical Mechanics · Physics 2009-11-13 F. D. A. Aarao Reis , R. B. Stinchcombe

The set of solutions of random constraint satisfaction problems (zero energy groundstates of mean-field diluted spin glasses) undergoes several structural phase transitions as the amount of constraints is increased. This set first breaks…

Statistical Mechanics · Physics 2007-12-19 Guilhem Semerjian

We consider the problem of gelation in the cluster coagulation model introduced by Norris [\textit{Comm. Math. Phys.}, 209(2):407-435 (2000)], where pairs of clusters of types $(x,y)$ taking values in a measure space $E$, merge to form a…

Probability · Mathematics 2025-08-08 Luisa Andreis , Tejas Iyer , Elena Magnanini

We study a 1-D granular gas of point-like particles not subject to gravity between two walls at temperatures T_left and T_right. The system exhibits two distinct regimes, depending on the normalized temperature difference Delta = (T_right -…

Statistical Mechanics · Physics 2009-10-31 Jose Miguel Pasini , Patricio Cordero