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Studying particle-laden flows is essential to understand diverse physical processes such as rain formation in clouds, pathogen transmission, and pollutant dispersal. Distinct clustering patterns are formed in such flows with particles of…

流体动力学 · 物理学 2022-01-13 K Shri Vignesh , Shruti Tandon , Praveen Kasthuri , R. I. Sujith

We propose an efficient linear-time graph-based divisive cluster analysis approach called Reductive Clustering. The approach tries to reveal the hierarchical structural information through reducing the graph into a more concise one…

人工智能 · 计算机科学 2020-09-28 Ching Tarn , Yinan Zhang , Ye Feng

Integer-order differential operators were originally used to describe local and isotropic effects, in both space and time. However, in fields like biology, the modelling of complex phenomena with spatial heterogeneity necessitates more…

动力系统 · 数学 2025-03-18 Cypres Verbeeck , Nikolaos Sfakianakis

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…

统计力学 · 物理学 2013-01-15 Carson McFadden , Louis-S. Bouchard

We connect quantum graphs with infinite leads, and turn them to scattering systems. We show that they display all the features which characterize quantum scattering systems with an underlying classical chaotic dynamics: typical poles, delay…

混沌动力学 · 物理学 2009-11-07 Tsampikos Kottos , Uzy Smilansky

We investigate the decay process from a time dependent potential well in the semiclassical regime. The classical dynamics is chaotic and the decay rate shows an irregular behavior as a function of the system parameters. By studying the…

chao-dyn · 物理学 2007-05-23 Yosef Ashkenazy , Luca Bonci , Jacob Levitan , Roberto Roncaglia

We calculate the dynamic phase transition (DPT) temperatures and present the dynamic phase diagrams in the Blume-Capel model under the presence of a time-dependent oscillating external magnetic field by using the path probability method. We…

统计力学 · 物理学 2015-06-15 Mehmet Ertas , Mustafa Keskin

Star clusters stand at the intersection of much of modern astrophysics: the interstellar medium, gravitational dynamics, stellar evolution, and cosmology. Here we review observations and theoretical models for the formation, evolution, and…

星系天体物理 · 物理学 2019-09-11 Mark R. Krumholz , Christopher F. McKee , Joss Bland-Hawthorn

It is shown how different globally coupled map systems can be analyzed under a common framework by focusing on the dynamics of their respective global coupling functions. We investigate how the functional form of the coupling determines the…

混沌动力学 · 物理学 2009-11-07 M. G. Cosenza , A. Parravano

Apart from the role the clustering coefficient plays in the definition of the small-world phenomena, it also has great relevance for practical problems involving networked dynamical systems. To study the impact of the clustering coefficient…

物理与社会 · 物理学 2022-07-19 Robert E. Kooij , Nikolaj Horsevad Sørensen , Roland Bouffanais

A one-dimensional reaction-diffusion model consisting of two species of particles and vacancies on a ring is introduced. The number of particles in one species is conserved while in the other species it can fluctuate because of creation and…

统计力学 · 物理学 2009-11-13 F H Jafarpour , B Ghavami

We have revealed that the barrier-tunneling process in non-integrable systems is strongly linked to chaos in complex phase space by investigating a simple scattering map model. The semiclassical wavefunction reproduces complicated features…

混沌动力学 · 物理学 2009-11-07 T. Onishi , A. Shudo , K. S. Ikeda , K. Takahashi

We investigate the phase diagram of a fluid of hard-core disks confined to the surface of a sphere and whose interaction potential contains a short-range attraction followed by a long-range repulsive tail (SALR). Based on previous works in…

软凝聚态物质 · 物理学 2021-11-24 Stefano Franzini , Luciano Reatto , Davide Pini

We establish new scaling properties for the universality class of Model C, which describes relaxational critical dynamics of a nonconserved order parameter coupled to a conserved scalar density. We find an anomalous diffusion phase, which…

统计力学 · 物理学 2013-11-05 David Mesterházy , Jan H. Stockemer , Leticia F. Palhares , Jürgen Berges

Duality transformations within the quantum mechanics of a finite number of degrees of freedom can be regarded as the dependence of the notion of a quantum, i.e., an elementary excitation of the vacuum, on the observer on classical phase…

高能物理 - 理论 · 物理学 2015-06-26 J. M. Isidro

We describe a classical thermodynamic model that reproduces the main features of the solid hydrogen phase diagram. In particular, we show how the general structure types that are found by electronic structure calculations and the quantum…

无序系统与神经网络 · 物理学 2017-04-05 Ioan B Magdău , Miriam Marques , Balint Borgulya , Graeme J Ackland

Except for the universe, all quantum systems are open, and according to quantum state diffusion theory, many systems localize to wave packets in the neighborhood of phase space points. This is due to decoherence from the interaction with…

量子物理 · 物理学 2008-11-26 Todd A. Brun , Ian C. Percival , Rüdiger Schack

We consider the classical map proposed previously to be the exact classical analogue of Rydberg Molecules calculated with the approximations relevant to the multi-channel quantum defect theory. The resulting classical map is analyzed at…

混沌动力学 · 物理学 2009-10-31 F. Leyvraz , M. Lombardi , T. H. Seligman

Monte Carlo simulations and dynamical mean-field approximations are performed to study the phase transitions in rock-scissors-paper game on different host networks. These graphs are originated from lattices by introducing quenched and…

统计力学 · 物理学 2009-11-10 Attila Szolnoki , Gyorgy Szabo

A hierarchical scheme for clustering data is presented which applies to spaces with a high number of dimension ($N_{_{D}}>3$). The data set is first reduced to a smaller set of partitions (multi-dimensional bins). Multiple clustering…

数据分析、统计与概率 · 物理学 2017-10-16 Kevin McIlhany , Stephen Wiggins