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Cluster growth in a coagulating system of active particles (such as microswimmers in a solvent) is studied by theory and simulation. In contrast to passive systems, the net velocity of a cluster can have various scalings dependent on the…

Soft Condensed Matter · Physics 2014-03-21 P. Cremer , H. Löwen

We investigate, using numerical simulations and analytical arguments, a simple one dimensional model for the swelling or the collapse of a closed polymer chain of size N, representing the dynamical evolution of a polymer in a \Theta-solvent…

Condensed Matter · Physics 2009-10-31 E. Pitard , J. -P. Bouchaud

When dissipative particles are left alone, their fluctuation energy decays due to collisional interactions, clusters build up and grow with time until the system size is reached. When the effective dissipation is strong enough, this may…

Statistical Mechanics · Physics 2009-10-31 S. Luding , H. J. Herrmann

We have studied the kinetics of cluster formation for dynamical systems of dimensions up to $n=8$ interacting through elastic collisions or coalescence. These systems could serve as possible models for gas kinetics, polymerization and…

Statistical Mechanics · Physics 2013-01-15 Carson McFadden , Louis-S. Bouchard

We present large-scale molecular dynamics simulations to study the free evolution of granular gases. Initially, the density of particles is homogeneous and the velocity follows a Maxwell-Boltzmann (MB) distribution. The system cools down…

Statistical Mechanics · Physics 2016-09-21 Prasenjit Das , Sanjay Puri , Moshe Schwartz

We propose a dynamical scheme for the combined processes of fragmentation and merging as a model system for cluster dynamics in nature and society displaying scale invariant properties. The clusters merge and fragment with rates…

Statistical Mechanics · Physics 2009-11-11 Jesper Ferkinghoff-Borg , Mogens H. Jensen , Joachim Mathiesen , Poul Olesen

We present results for the nonequilibrium dynamics of collapse for a model flexible homopolymer on simple cubic lattices with fixed and fluctuating bonds between the monomers. Results from our Monte Carlo simulations show that,…

Soft Condensed Matter · Physics 2017-10-11 Henrik Christiansen , Suman Majumder , Wolfhard Janke

We draw an analogy between droplet formation in dilute particle and polymer systems. Our arguments are based on finite-size scaling results from studies of a two-dimensional lattice gas to three-dimensional bead-spring polymers. To set the…

Statistical Mechanics · Physics 2018-03-14 Wolfhard Janke , Johannes Zierenberg

The rapid collapse of a polymer, due to external forces or changes in solvent, yields a long-lived `crumpled globule.' The conjectured fractal structure shaped by hierarchical collapse dynamics has proved difficult to establish, even with…

Soft Condensed Matter · Physics 2015-10-07 Guy Bunin , Mehran Kardar

We study the dynamic scaling properties of an aggregation model in which particles obey both diffusive and driven ballistic dynamics. The diffusion constant and the velocity of a cluster of size $s$ follow $D(s) \sim s^\gamma$ and $v(s)…

Statistical Mechanics · Physics 2009-10-31 E. K. O. Hellen , T. P. Simula , M. J. Alava

We present a detailed study of the statistics of a system of diffusing aggregating particles with a steady monomer source. We emphasise the case of low spatial dimensions where strong diffusive fluctuations invalidate the mean-field…

Statistical Mechanics · Physics 2009-11-11 Colm Connaughton , R. Rajesh , Oleg Zaboronski

We investigate the internal structure of a polymer during collapse from an expanded coil to a compact globule. Collapse is more probable in local regions of high curvature, so a smoothing of the fractal polymer structure occurs that…

Soft Condensed Matter · Physics 2008-11-07 G. E. Crooks , B. Ostrovsky , Y. Bar-Yam

We discuss the mechanism of cluster formation in hierarchically collapsing molecular clouds. Recent evidence, both observational and numerical, suggests that molecular clouds (MCs) may be undergoing global, hierarchical gravitational…

Astrophysics of Galaxies · Physics 2017-04-05 Enrique Vazquez-Semadeni , Alejandro Gonzalez-Samaniego , Manuel Zamora-Aviles , Pedro Colin

Collapse of the polymer chain upon the sharp decrease of solvent quality is studied. During collapse, any pair of polymer units appearing in a sufficiently close vicinity in space has the possibility with a certain probability to form an…

Soft Condensed Matter · Physics 2019-11-07 A. M. Astakhov , S. K. Nechaev , K. E. Polovnikov

Anomalous coarsening in far-from equilibrium one-dimensional systems is investigated by simulation and analytic techniques. The minimal hard core particle (exclusion) models contain mechanisms of aggregated particle diffusion, with rates…

Statistical Mechanics · Physics 2009-11-10 Fabio D. A. Aarao Reis , Robin B. Stinchcombe

We report observations of the self-assembly of coated droplets into regular clusters at the sudden expansion of a microfluidic channel. A double emulsion consisting of a regular train of coated microdroplets was created upstream of the…

Soft Condensed Matter · Physics 2020-10-19 Kerstin Schirrmann , Gabriel Cáceres-Aravena , Anne Juel

We introduce and analyse a class of fragmentation-coalescence processes defined on finite systems of particles organised into clusters. Coalescent events merge multiple clusters simultaneously to form a single larger cluster, while…

Probability · Mathematics 2017-01-31 Andreas E. Kyprianou , Steven W. Pagett , Tim Rogers

We present a scaling theory describing the collapse of a homopolymer chain in poor solvent. At time t after the beginning of the collapse, the original Gaussian chain of length N is streamlined to form N/g segments of length R(t), each…

Soft Condensed Matter · Physics 2009-11-07 Cameron F. Abrams , Namkyung Lee , Sergei Obukhov

Particle rafts floating at an air-liquid interface exhibit a variety of behaviors when interfacial flow is introduced. Motivated by previous experimental observations, the failure pattern of particle rafts under uniform radial expansion is…

Soft Condensed Matter · Physics 2023-08-16 Khá-Î Tô

Steady state dynamics of clustering, long range order, and inelastic collapse are experimentally observed in vertically shaken granular monolayers. At large vibration amplitudes, particle correlations show only short range order like…

Soft Condensed Matter · Physics 2009-10-31 J. S. Olafsen , J. S. Urbach
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