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Related papers: Templating Aggregation

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We introduce an aggregation process that begins with equal concentrations of positively and negatively `charged' monomers. Oppositely charged monomers merge to form neutral dimers. These dimers are the seeds for subsequent aggregation…

Soft Condensed Matter · Physics 2025-01-14 P. L. Krapivsky , S. Redner

By means of multicanonical computer simulations, we investigate thermodynamic properties of the aggregation of interacting semiflexible polymers. We analyze a mesoscopic bead-stick model, where nonbonded monomers interact via Lennard-Jones…

Soft Condensed Matter · Physics 2015-05-28 Christoph Junghans , Michael Bachmann , Wolfhard Janke

A diffusion-limited aggregation process, in which clusters coalesce by means of 3-particle reaction, A+A+A->A, is investigated. In one dimension we give a heuristic argument that predicts logarithmic corrections to the mean-field asymptotic…

Condensed Matter · Physics 2009-10-22 P. L. Krapivsky

Building structures with hierarchical order through the self-assembly of smaller blocks is not only a prerogative of nature, but also a strategy to design artificial materials with tailored functions. We explore in simulation the…

Soft Condensed Matter · Physics 2020-02-17 Santi Prestipino , Domenico Gazzillo , Gianmarco Munaò , Dino Costa

We study a random aggregation process involving rectangular clusters. In each aggregation event, two rectangles are chosen at random and if they have a compatible side, either vertical or horizontal, they merge along that side to form a…

Statistical Mechanics · Physics 2018-10-17 D. S. Ben-Naim , E. Ben-Naim , P. L. Krapivsky

We introduce an autocatalytic aggregation model in which the rate at which two clusters merge to form a cluster is controlled by the presence of a third "catalytic" cluster whose mass must equal to the mass of one of the reaction partners.…

Statistical Mechanics · Physics 2025-01-14 P. L. Krapivsky , S. Redner

We investigate the kinetics of constant-kernel aggregation which is augmented by either: (a) evaporation of monomers from finite-mass clusters, or (b) continuous cluster growth -- \ie, condensation. The rate equations for these two…

Condensed Matter · Physics 2009-10-28 Paul. L. Krapivsky , Sidney Redner

An extended polymer collapses to form a globule when subjected to a quench below the collapse transition temperature. The process begins with the formation of clusters of monomers or ``pearls''. The nascent clusters merge, resulting in…

Soft Condensed Matter · Physics 2026-03-12 Suman Majumder , Saikat Chakraborty

We consider a system of clusters made of elementary building blocks, monomers, and evolving via collisions between diffusing monomers and immobile composite clusters. In our model, the cluster-monomer collision can lead to the attachment of…

Statistical Mechanics · Physics 2017-10-25 P. L. Krapivsky , W. Otieno , N. V. Brilliantov

Mixing describes the process by which solutes evolve from an initial heterogeneous state to uniformity under the stirring action of a fluid flow. Fluid stretching forms thin scalar lamellae which coalesce due to molecular diffusion. Owing…

Fluid Dynamics · Physics 2024-05-30 Joris Heyman , Tanguy Le Borgne , Philippe Davy , Emmanuel Villermaux

We investigate irreversible aggregation processes driven by a source of small mass clusters. In the spatially homogeneous situation, a well-mixed system is consists of clusters of various masses whose concentrations evolve according to an…

Statistical Mechanics · Physics 2025-01-20 P. L. Krapivsky , Sergey A. Matveev

We explore the use of templated self-assembly to facilitate the formation of complex target structures made from patchy particles. First, we consider the templating of high-symmetry shell structures around a spherical core particle. We find…

Soft Condensed Matter · Physics 2013-06-25 Alexander J. Williamson , Alex W. Wilber , Jonathan P. K. Doye , Ard A. Louis

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

Stars form in dense, clustered environments, where feedback from newly formed stars eventually ejects the gas, terminating star formation and leaving behind one or more star clusters. Using the STARFORGE simulations, it is possible to…

Micro-organisms aggregate through chemotaxis against a concentration gradient of signals secreted by themselves. We have numerically studied a model consisting of elements with intracellular dynamics, random walks with a state-dependent…

Statistical Mechanics · Physics 2007-10-31 Masayo Inoue , Kunihiko Kaneko

We generalize the ordinary aggregation process to allow for choice. In ordinary aggregation, two random clusters merge and form a larger aggregate. In our implementation of choice, a target cluster and two candidate clusters are randomly…

Statistical Mechanics · Physics 2016-12-15 E. Ben-Naim , P. L. Krapivsky

The properties of small clusters can differ dramatically from the bulk phases of the same constituents. In equilibrium, cluster assembly has been recently explored, whereas out of equilibrium, the physical principles of clustering remain…

Soft Condensed Matter · Physics 2019-03-22 Melody X. Lim , Anton Souslov , Vincenzo Vitelli , Heinrich M. Jaeger

In the self-assembly process which drives the formation of cellular membranes, micelles, and capsids, a collection of separated subunits spontaneously binds together to form functional and more ordered structures. In this work, we study the…

Biological Physics · Physics 2021-05-04 Mobolaji Williams

An extremely broad and important class of phenomena in nature involves the settling and aggregation of matter under gravitation in fluid systems. Some examples include: sedimenting marine snow particles in lakes and oceans (central to…

Fluid Dynamics · Physics 2019-05-21 Roberto Camassa , Daniel M. Harris , Robert Hunt , Zeliha Kilic , Richard M. McLaughlin

Dust coagulation in interstellar space and protoplanetary disks is usually treated as one of 2 extreme cases: Particle-Cluster Aggregation and Cluster-Cluster Aggregation. In this paper we study the process of hierarchical growth, where…

Earth and Planetary Astrophysics · Physics 2016-11-02 Carsten Dominik , Dominik Paszun , Herman Borel
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