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We present a novel framework exploiting the cascade of phase transitions occurring during a simulated annealing of the Expectation-Maximisation algorithm to cluster datasets with multi-scale structures. Using the weighted local covariance,…

机器学习 · 统计学 2021-01-13 T. Bonnaire , A. Decelle , N. Aghanim

The large-scale structure of the ionization field during the epoch of reionization (EoR) can be modeled by the excursion set theory. While the growth of ionized regions during the early stage are described by the "bubble model", the…

宇宙学与河外天体物理 · 物理学 2018-08-22 Yidong Xu , Bin Yue , Xuelei Chen

A model for two-dimensional colloids confined laterally by "structured boundaries" (i.e., ones that impose a periodicity along the slit) is studied by Monte Carlo simulations. When the distance D between the confining walls is reduced at…

统计力学 · 物理学 2012-03-09 Dorothea Wilms , Nigel B. Wilding , Kurt Binder

The properties of the pure-site clusters of spin models, i.e. the clusters which are obtained by joining nearest-neighbour spins of the same sign, are here investigated. In the Ising model in two dimensions it is known that such clusters…

统计力学 · 物理学 2009-11-07 Santo Fortunato

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

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…

统计力学 · 物理学 2009-10-31 Ofer Biham , Ofer Malcai , Daniel A. Lidar , David Avnir

The order-disorder layering transitions, of the Blume-Capel model, are studied using the Monte Carlo (MC) simulations, in the presence of a variable crystal field. For a very low temperature, the results are in good agreement with the…

软凝聚态物质 · 物理学 2009-11-10 L. Bahmad , A. Benyoussef , H. Ez-Zahraouy

Phyllotactic states are regular lattice-like structures on cylinders and are a botanical classification scheme. In this communication, we report a sequence of transitions between phyllotactic states for particles with a repulsive…

软凝聚态物质 · 物理学 2022-03-14 A. A. Tomlinson , N. K. Wilkin

Controlled experimental studies of percolation are challenging due to difficulties in tuning site connectivity, isolating local interactions, and mitigating finite-size effects. In this work, we experimentally investigate percolation with a…

It was recently suggested that the sign of particle drift in inhomogeneous temperature or turbulence depends on the particle inertia: weakly inertial particles localize near minima of temperature or turbulence intensity (effects known as…

混沌动力学 · 物理学 2016-03-17 Sergey Belan , Alexander Chernykh , Gregory Falkovich

We study the low-temperature behavior of a simple cluster-crystal forming system through simulation. The phase behavior is found to be hybrid between the Gaussian core and penetrable sphere models. The system additionally exhibits a series…

软凝聚态物质 · 物理学 2015-03-17 Kai Zhang , Patrick Charbonneau , Bianca M. Mladek

We consider a quantum many-body model describing a system of electrons interacting with themselves and hopping from one ion to another of a one dimensional lattice. We show that the ground state energy of such system, as a functional of the…

强关联电子 · 物理学 2007-05-23 Vieri Mastropietro

The phase space of a typical Hamiltonian system contains both chaotic and regular orbits, mixed in a complex, fractal pattern. One oft-studied phenomenon is the algebraic decay of correlations and recurrence time distributions. For…

混沌动力学 · 物理学 2015-08-19 Or Alus , Shmuel Fishman , James D. Meiss

Number of zeros seen by a particle around small clusters of other particles is encoded in the root partition, and partly characterizes the correlations in fractional quantum Hall trial wavefunctions. We explore a generalization wherein we…

强关联电子 · 物理学 2021-06-23 Bartosz Kusmierz , G J Sreejith

In the ordered phase of the 3D Ising model, minority spin clusters are surrounded by a boundary of dual plaquettes. As the temperature is raised, these spin clusters become more numerous, and it is found that eventually their boundaries…

统计力学 · 物理学 2023-05-03 Michael Grady

We give a physical description in terms of percolation theory of the phase transition that occurs when the disorder increases in the random antiferromagnetic spin-1 chain between a gapless phase with topological order and a random singlet…

强关联电子 · 物理学 2009-10-30 C. Monthus , O. Golinelli , Th. Jolicoeur

Phase transition of the Ising model is investigated on a planar lattice that has a fractal structure. On the lattice, the number of bonds that cross the border of a finite area is doubled when the linear size of the area is extended by a…

统计力学 · 物理学 2016-02-02 Jozef Genzor , Andrej Gendiar , Tomotoshi Nishino

We analyse numerically the transitions in an Unruh-DeWitt detector, coupled linearly to a massless scalar field, in radial infall in (3+1)-dimensional Schwarzschild spacetime. In the Hartle-Hawking and Unruh states, the transition…

广义相对论与量子宇宙学 · 物理学 2022-10-25 Keith K. Ng , Chen Zhang , Jorma Louko , Robert B. Mann

Random defects do not constitute the unique source of electron localization in two dimensions. Lattice quasidisorder generated from two inplane superimposed rotated, main and secondary, square lattices, namely monolayers where moir\'e…

介观与纳米尺度物理 · 物理学 2024-05-03 Christian Madroñero , Gustavo Alexis Dominguez Castro , Rosario Paredes

We propose a minimal model, based on active Brownian particles, for the dynamics of cells confined in a two-state micropattern, composed of two rectangular boxes connected by a bridge, and investigate the transition statistics. A transition…

软凝聚态物质 · 物理学 2022-05-13 F. M. R. Safara , H. P. Melo , M. M. Telo da Gama , N. A. M. Araújo