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Recently, a hybrid percolation transitions (HPT) that exhibits both a discontinuous transition and critical behavior at the same transition point has been observed in diverse complex systems. In spite of considerable effort to develop the…

统计力学 · 物理学 2017-11-01 K. Choi , Deokjae Lee , Y. S. Cho , J. C. Thiele , H. J. Herrmann , B. Kahng

Critical fluctuations in fluids and fluid mixtures yield a nonanalytic asymptotic Ising-like critical thermodynamic behavior in terms of power laws with universal exponents. In polymer solutions, the amplitudes of these power laws depend on…

软凝聚态物质 · 物理学 2022-09-28 Mikhail A. Anisimov , Thomas J. Longo , Jan V. Sengers

Among the Renormalization Group Theory scaling rules relating critical exponents, there are hyperscaling rules involving the dimension of the system. It is well known that in Ising models hyperscaling breaks down above the upper critical…

无序系统与神经网络 · 物理学 2018-01-24 P. H. Lundow , I. A. Campbell

Geometric representations provide a useful perspective on critical phenomena in the Ising model. In a recent study [Phys. Rev. E 112, 034118 (2025)], we found that the two-dimensional critical Ising model exhibits two consecutive…

统计力学 · 物理学 2026-04-08 Jinhong Zhu , Tao Chen , Zhiyi Li , Sheng Fang , Youjin Deng

In this contribution we show that the biggest fragment charge distribution in central collisions of Xe+Sn leading to multifragmentation is an admixture of two asymptotic distributions observed for the lowest and highest bombarding energies.…

核实验 · 物理学 2015-06-17 Diego Gruyer , J. D. Frankland , R. Botet , M. Ploszajczak , E. Bonnet , A. Chbihi , P. Marini

Nucleation is an out-of-equilibrium process, which can be strongly affected by the presence of external fields. In this letter, we report a simple extension of classical nucleation theory to systems submitted to an homogeneous shear flow.…

统计力学 · 物理学 2013-06-17 Anatolii V. Mokshin , Bulat N. Galimzyanov , Jean-Louis Barrat

These lecture notes give an introduction to the theory of interacting particle systems. The main subjects are the construction using generators and graphical representations, the mean field limit, stochastic order, duality, and the relation…

概率论 · 数学 2025-11-10 Jan M. Swart

The relation between diffraction in lepton-proton collisions and shadowing of nuclear structure functions which arises from Gribov inelastic shadowing, is described. A model realizing such relation, which produces a parameter-free…

高能物理 - 唯象学 · 物理学 2009-11-10 J. L. Albacete , N. Armesto , A. Capella , A. B. Kaidalov , C. A. Salgado

In the Ising model on the simple cubic lattice, we describe the inverse temperature $\beta$ and other quantities relevant for the computation of critical quantities in terms of a dimensionless squared mass $M$. The critical behaviors of…

高能物理 - 格点 · 物理学 2015-08-25 Hirofumi Yamada

The restructuring process of diagenesis in the sedimentary rocks is studied using a percolation type model. The cementation and dissolution processes are modeled by the culling of occupied sites in rarefied and growth of vacant sites in…

软凝聚态物质 · 物理学 2009-11-07 S. S. Manna , T. Datta , R. Karmakar , S. Tarafdar

Some of the centrality experiments indicate regime change and saturation in the behavior of characteristics of the secondary particles. It is observed as a critical phenomenon for hadron-nuclear, nuclear-nuclear interactions and…

We study signatures of critical behavior in microscopic simulations of small, highly excited Lennard-Jones drops. We focus our attention on the behavior of the system at the time of fragment formation (which takes place in phase space) and…

核理论 · 物理学 2009-11-07 P. Balenzuela , A. Chernomoretz , C. O. Dorso

Motivated by the decade-long debate over the issue of criticality supposedly observed in nuclear multifragmentation, we propose a dynamical lattice model to simulate the phenomenon. Its Ising Hamiltonian mimics a short range attractive…

统计力学 · 物理学 2015-06-25 J. S. Sa' Martins , P. M. C. de Oliveira

Self organisation provides an elegant explanation for how complex structures emerge and persist throughout nature. Surprisingly often, these structures exhibit remarkably similar scale-invariant properties. While this is sometimes captured…

量子气体 · 物理学 2020-06-25 S. Helmrich , A. Arias , G. Lochead , M. Buchhold , S. Diehl , S. Whitlock

We show that an out-of-equilibrium percolation transition occurs after quenching ferromagnetic Ising-like systems across their magnetic first-order transitions. As a paradigmatic example, we consider a two-dimensional Ising system driven…

统计力学 · 物理学 2026-03-16 Andrea Pelissetto , Davide Rossini , Ettore Vicari

The critical behaviour of several spin models can be simply described as percolation of some suitably defined clusters, or droplets: the onset of the geometrical transition coincides with the critical point and the percolation exponents are…

高能物理 - 格点 · 物理学 2008-11-26 Santo Fortunato

Three dimensional Ising model ferromagnets on different lattices with nearest neighbor interactions, and on simple cubic lattices with equivalent interactions out to further neighbors, are studied numerically. The susceptibility data for…

统计力学 · 物理学 2011-07-28 P. H. Lundow , I. A. Campbell

Identifying nucleation pathway is important for understanding the kinetics of first-order phase transitions in natural systems. In the present work, we study nucleation pathway of the Ising model in homogeneous and heterogeneous networks…

统计力学 · 物理学 2013-05-07 Chuansheng Shen , Hanshuang Chen , Zhonghuai Hou

We consider a two-dimensional Ising model with random i.i.d. nearest-neighbor ferromagnetic couplings and no external magnetic field. We show that, if the probability of supercritical couplings is small enough, the system admits a…

无序系统与神经网络 · 物理学 2015-05-30 L. Bertini , Emilio N. M. Cirillo , E. Olivieri

Percolation in an information-theoretically secure graph is considered where both the legitimate and the eavesdropper nodes are distributed as Poisson point processes. For both the path-loss and the path-loss plus fading model, upper and…

信息论 · 计算机科学 2011-04-07 Rahul Vaze