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Dynamical processes on complex networks, ranging from biological, technological and social systems, show phase transitions between distinct global states of the system. Often, such transitions rely upon the interplay between the structure…

物理与社会 · 物理学 2023-02-22 Hillel Sanhedrai , Shlomo Havlin

We consider two different systems exhibiting a continuous phase transition into an absorbing state. Both models belong to the same universality class, i.e., they are characterized by the same scaling functions and the same critical…

统计力学 · 物理学 2009-11-10 S. Lubeck

The ordering of charges on half-filled hypercubic lattices is investigated numerically, where electroneutrality is ensured by background charges. This system is equivalent to the $s = 1/2$ Ising lattice model with antiferromagnetic $1/r$…

统计力学 · 物理学 2009-06-03 A. Mobius , U. K. Roessler

The critical behaviour of $d$-dimensional semi-infinite systems with $n$-component order parameter $\bm{\phi}$ is studied at an $m$-axial bulk Lifshitz point whose wave-vector instability is isotropic in an $m$-dimensional subspace of…

统计力学 · 物理学 2009-11-10 H. W. Diehl , S. Rutkevich

The critical behavior at the ordinary transition in semi-infinite n-component anisotropic cubic models is investigated by applying the field theoretic approach in d=3 dimensions up to the two-loop approximation. Numerical estimates of the…

软凝聚态物质 · 物理学 2009-11-10 Z. Usatenko , J. Spalek

The interaction-induced metal-insulator transition should be in the Ising universality class. Experiments on layered organic superconductors suggest that the observed critical endpoint of the first-order Mott transition belongs instead to a…

强关联电子 · 物理学 2012-06-19 Patrick Sémon , A. -M. S. Tremblay

Assuming a second-order phase transition for the hadronization process, we attempt to associate intermittency patterns in high-energy hadronic collisions to fractal structures in configuration space and corresponding intermittency indices…

高能物理 - 唯象学 · 物理学 2009-10-22 N. G. Antoniou , F. K. Diakonos , I. S. Mistakidis , C. G. Papadopoulos

Liquid-liquid phase separation has recently emerged as an important topic in the context of cellular organization. Within this context, there are multiple poorly understood features; for instance hints of critical behavior in the plasma…

统计力学 · 物理学 2024-06-25 Felix Herrmann , Burkhard Dünweg , Martin Girard

In this chapter we discuss aspects of the quantum critical behavior that occurs at a quantum phase transition separating a topological phase from a conventionally ordered one. We concentrate on a family of quantum lattice models, namely…

强关联电子 · 物理学 2015-05-14 Claudio Castelnovo , Simon Trebst , Matthias Troyer

Competitive balance model has been proposed as an extension to the balance model to address the conflict of interests in signed networks arXiv:2001.04664 . In this model two different paradigms compete with each other due to the competitive…

物理与社会 · 物理学 2021-10-26 R. Masoumi , F. Oloomi , A. Kargaran , A. Hosseiny , G. R. Jafari

Within mean-field theory we determine the universal scaling function for the effective force acting on a single colloid located near the interface between two coexisting liquid phases of a binary liquid mixture close to its critical…

软凝聚态物质 · 物理学 2015-06-22 Adam D. Law , Ludger Harnau , Matthias Troendle , Siegfried Dietrich

The theory of interface localization in near-critical planar systems at phase coexistence is formulated from first principles. We show that mutual delocalization of two interfaces, amounting to interfacial wetting, occurs when the bulk…

统计力学 · 物理学 2016-05-13 Gesualdo Delfino

The critical behaviour of semi-infinite $d$-dimensional systems with short-range interactions and an O(n) invariant Hamiltonian is investigated at an $m$-axial Lifshitz point with an isotropic wave-vector instability in an $m$-dimensional…

统计力学 · 物理学 2008-11-26 H. W. Diehl , S. Rutkevich , A. Gerwinski

In complex systems, external parameters often determine the phase in which the system operates, i.e., its macroscopic behavior. For nearly a century, statistical physics has extensively studied systems' transitions across phases,…

The phase transitions and critical properties of two types of inhomogeneous systems are reviewed. In one case, the local critical behaviour results from the particular shape of the system. Here scale-invariant forms like wedges or cones are…

统计力学 · 物理学 2009-10-22 F. Iglói , I. Peschel , L. Turban

An interface connecting two distinct conformal field theories hosts rich critical behaviors. In this work, we investigate the entanglement properties of such critical interface theories for probing the underlying universality. As inspired…

统计力学 · 物理学 2024-01-10 Qicheng Tang , Zixia Wei , Yin Tang , Xueda Wen , W. Zhu

Surface critical behavior (SCB) refers to the singularities of physical quantities on the surface at the bulk phase transition. It is closely related to and even richer than the bulk critical behavior. In this work, we show that three types…

强关联电子 · 物理学 2018-06-08 Chengxiang Ding , Long Zhang , Wenan Guo

We study the depinning transition for models representative of each of the two universality classes of interface roughening with quenched disorder. For one of the universality classes, the roughness exponent changes value at the transition,…

凝聚态物理 · 物理学 2009-10-22 Hernan A. Makse , Luis A. Nunes Amaral

A combinatorial approach is used to study the critical behavior of a $q$-state Potts model with a round-the-face interaction. Using this approach it is shown that the model exhibits a first order transition for $q>3$. A second order…

统计力学 · 物理学 2019-11-27 Nir Schreiber , Reuven Cohen , Simi Haber , Gideon Amir , Baruch Barzel

Quasicritical exponents of one-dimensional models displaying a quasitransition at finite temperatures are examined in detail. The quasitransition is characterized by intense sharp peaks in physical quantities such as specific heat and…

统计力学 · 物理学 2019-05-01 Onofre Rojas , Jozef Strecka , Marcelo Leite Lyra , Sergio Martins de Souza