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We show that the locations where finite- and infinite-time clustering occurs for the 1D Euler-alignment system can be determined using only the initial data. Our present work provides the first results on the structure of the finite-time…

Analysis of PDEs · Mathematics 2023-07-26 Trevor M. Leslie , Changhui Tan

Effect of small additive molecules on the structural relaxation of polymer melts is investigated via molecular dynamics simulations. At a constant external pressure and a fixed number concentration of added molecules, the variation of…

Soft Condensed Matter · Physics 2019-07-30 Elias M. Zirdehi , Fathollah Varnik

Coagulation and fragmentation (CF) is a fundamental process by which particles attach to each other to form clusters while existing clusters break up into smaller ones. It is a ubiquitous process that plays a key role in many physical and…

Statistical Mechanics · Physics 2020-12-22 Farid Manuchehrfar , Wei Tian , Tom Chou , Jie Liang

Most stars form as part of a star cluster. The most massive clusters in the Milky Way exist in two groups - loose and compact clusters - with significantly different sizes at the end of the star formation process. After their formation both…

Astrophysics of Galaxies · Physics 2015-06-17 Susanne Pfalzner , Thomas Kaczmarek

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

Monodisperse circular disks have been collectively packed in confined geometries using a Monte Carlo method where the compaction is propelled by two- dimensional stochastic agitation. We have found that confinement (i.e., finite-size plus…

Mesoscale and Nanoscale Physics · Physics 2012-02-01 Bjoern Arnold , Ayse Turak , Alejandro Diaz Ortiz

We consider star networks of chaotic oscillators, with all end-nodes connected only to the central hub node, under diffusive coupling, conjugate coupling and mean-field type coupling. We observe the existence of chimeras in the end-nodes,…

Chaotic Dynamics · Physics 2016-09-21 Chandrakala Meena , K. Murali , Sudeshna Sinha

In four-particle scattering processes with transfer of mass, unlike mergers in which mass can only increase, mass of the most massive galaxies may be reduced. Elementary model describing such process is considered. In this way, it is…

Astrophysics of Galaxies · Physics 2015-07-02 Victor M. Kontorovich

Chromatin and associated proteins constitute the highly folded structure of chromosomes. We consider a self-avoiding polymer model of the chromatin, segments of which may get cross-linked via protein binders that repel each other. The…

Soft Condensed Matter · Physics 2019-06-13 Amit Kumar , Debasish Chaudhuri

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

The interplay of topological constraints and persistence length of ring polymers in their own melt is investigated by means of dynamical Monte Carlo simulations of a three dimensional lattice model. We ask if the results are consistent with…

Statistical Mechanics · Physics 2009-10-31 M. Muller , J. P. Wittmer , M. E. Cates

We present the first study of the dynamical evolution of an isolated star cluster that combines a significant population of primordial binaries with the presence of a central black hole. We use equal-mass direct N-body simulations, with N…

Astrophysics · Physics 2009-11-11 M. Trenti , E. Ardi , S. Mineshige , P. Hut

We investigate the cooperative effects of a single finite chain of monomers near an attractive substrate by first constructing a conformational pseudo-phase diagram based on the thermal fluctuations of energetic and structural quantities.…

Soft Condensed Matter · Physics 2011-07-01 Monika Möddel , Wolfhard Janke , Michael Bachmann

This paper reports simulations allowing for stochastic accretion and mass loss within closed and open systems modeled using a previously developed multi-population, multi-zone (halo, thick disk, thin disk) treatment. The star formation rate…

Astrophysics · Physics 2009-11-10 G. Valle , S. N. Shore , D. Galli

Planet formation models have been developed during the last years in order to try to reproduce the observations of both the solar system, and the extrasolar planets. Some of these models have partially succeeded, focussing however on…

Earth and Planetary Astrophysics · Physics 2015-06-16 Y. Alibert , F. Carron , A. Fortier , S. Pfyffer , W. Benz , C. Mordasini , D. Swoboda

By minimizing the enthalpy of packings of frictionless particles, we obtain jammed solids at desired pressures and hence investigate the jamming transition with and without shear. Typical scaling relations of the jamming transition are…

Soft Condensed Matter · Physics 2018-08-01 Wen Zheng , Shiyun Zhang , Ning Xu

Star cluster formation in giant molecular clouds involves the local collapse of the cloud into small gas-rich subclusters, which can then subsequently collide and merge to build up the final star cluster(s). In this paper, we simulate…

Astrophysics of Galaxies · Physics 2022-05-25 Jeremy Karam , Alison Sills

The critical incompatibility of polymers with different compositions scales inversely with their length. For instance, a mixture of A and B homopolymers of length $N$ segregates at $\chi_{AB}^{cr} = 2/N$. But what if the difference between…

Soft Condensed Matter · Physics 2026-02-06 Artem M. Rumyantsev , Alexey A. Gavrilov

The solution space of many classical optimization problems breaks up into clusters which are extensively distant from one another in the Hamming metric. Here, we show that an analogous quantum clustering phenomenon takes place in the ground…

Quantum Physics · Physics 2017-10-25 S. C. Morampudi , B. Hsu , S. L. Sondhi , R. Moessner , C. R. Laumann

We study theoretically in the present work the self-assembly of molecules in an open system, which is fed by monomers and depleted in partial or complete clusters. Such a scenario is likely to occur for example in the context of viral…

Biological Physics · Physics 2014-02-18 Martin Castelnovo , Timothée Verdier , Lionel Foret