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In this paper we investigate the universality and scaling properties of the well-known quantities in classical statistical mechanics near the quantum phase transition point. We show that transverse susceptibility and derivatives of…

Strongly Correlated Electrons · Physics 2015-03-17 R. Jafari

From a minimal set made of four scale factors defined at the liquid-gas critical point of a pure fluid, and one adjustable parameter which accounts for particle quantum effects, we demonstrate here a master singular behavior of the…

Statistical Mechanics · Physics 2007-05-23 Yves Garrabos

Entropy accumulation near a quantum critical point was expected based on general scaling arguments, and has recently been explicitly observed. We explore this issue further in two canonical models for quantum criticality, with particular…

Strongly Correlated Electrons · Physics 2011-04-04 Jianda Wu , Lijun Zhu , Qimiao Si

Universal scaling near phase transitions is one of the central ideas of physics, linking the growth of spatial correlations to the slowing down of dynamics. So far, direct experimental access to this critical behavior has remained largely…

We propose a scaling theory for the universal imaginary-time quantum critical dynamics for both short times and long times. We discover that there exists a universal critical initial slip related to a small initial order parameter $M_0$. In…

Statistical Mechanics · Physics 2017-02-14 Shuai Yin , Peizhi Mai , Fan Zhong

We discuss first order transitions for systems in the Ising universality class. The critical long distance physics near the endpoint of the critical line is explicitly connected to microscopic properties of a given system. Information about…

Condensed Matter · Physics 2009-10-31 S. Seide , C. Wetterich

Quasiperiodic systems are aperiodic but deterministic, so their critical behavior differs from that of clean systems as well as disordered ones. Quasiperiodic criticality was previously understood only in the special limit where the…

Disordered Systems and Neural Networks · Physics 2020-05-12 Utkarsh Agrawal , Sarang Gopalakrishnan , Romain Vasseur

Phase transitions are prevalent throughout physics, spanning thermal phenomena like water boiling to magnetic transitions in solids. They encompass cosmological phase transitions in the early universe and the transition into a quark-gluon…

Disordered Systems and Neural Networks · Physics 2025-04-03 Farid Madani , Maxime Denis , Pascal Szriftgiser , Jean Claude Garreau , Adam Rançon , Radu Chicireanu

In this work we analyze the universal scaling functions and the critical exponents at the upper critical dimension of a continuous phase transition. The consideration of the universal scaling behavior yields a decisive check of the value of…

Statistical Mechanics · Physics 2009-11-10 S. Lubeck , P. C. Heger

A Fermi gas of atoms with resonant interactions is predicted to obey universal hydrodynamics, where the shear viscosity and other transport coefficients are universal functions of the density and temperature. At low temperatures, the…

Quantum Gases · Physics 2011-02-09 C. Cao , E. Elliott , J. Joseph , H. Wu , J. Petricka , T. Schaefer , J. E. Thomas

Attempts to understand zero temperature phase transitions have forced physicists to consider a regime where the standard paradigms of condensed matter physics break down [1-4]. These quantum critical systems lack a simple description in…

Quantum Gases · Physics 2012-07-04 Kaden R. A. Hazzard , Erich J. Mueller

The vapor-liquid critical behavior of intrinsically asymmetric fluids is studied in finite systems of linear dimensions, $L$, focusing on periodic boundary conditions, as appropriate for simulations. The recently propounded ``complete''…

Statistical Mechanics · Physics 2009-11-10 Young C. Kim , Michael E. Fisher

With the use of thermodynamics and general equilibrium conditions only, we study the entropy of a fluid in the vicinity of the critical point of the liquid-vapor phase transition. By assuming a general form for the coexistence curve in the…

Statistical Mechanics · Physics 2021-06-16 J. C. Obeso-Jureidini , D. Olascoaga , V. Romero-Rochín

We describe a numerical method for simulating stochastic fluid dynamics near a critical point in the Ising universality class. This theory is known as model H, and is expected to govern the non-equilibrium dynamics of Quantum Chromodynamics…

Nuclear Theory · Physics 2025-03-31 Chandrodoy Chattopadhyay , Josh Ott , Thomas Schaefer , Vladimir V. Skokov

We consider two-dimensional ($d=2$) systems with short-ranged microscopic interactions, where interface unbinding (wetting) transitions occur in the limit of vanishing temperature $T$. For $T=0$ the transition is characterized by…

Statistical Mechanics · Physics 2015-06-23 Pawel Jakubczyk , Marek Napiórkowski , Federico Benitez

We study fidelity susceptibility in one-dimensional asymmetric Hubbard model, and show that the fidelity susceptibility can be used to identify the universality class of the quantum phase transitions in this model. The critical exponents…

Quantum Physics · Physics 2009-11-13 Shi-Jian Gu , Ho-Man Kwok , Wen-Qiang Ning , Hai-Qing Lin

We consider the particle current in the asymmetric avalanche process on a ring. It is known to exhibit a transition from the intermittent to continuous flow at the critical density of particles. The exact expressions for the first two…

Mathematical Physics · Physics 2022-01-05 Anastasiia A. Trofimova , Alexander M. Povolotsky

The extremely low temperatures have limited the availability and accuracy of experimental thermophysical property measurements for cryogens, particularly transport properties. Traditional scaling techniques such as corresponding states…

Quantum Gases · Physics 2023-03-13 Ian Bell , Jacob W. Leachman , Albert F. Rigosi , Heather M. Hill

It is demonstrated that the scaled order parameter for ferromagnetic Ising and three-state Potts chains with inverse-square interactions exhibits a universal critical jump, in analogy with the superfluid density in helium films.…

Statistical Mechanics · Physics 2009-11-07 Erik Luijten , Holger Messingfeld

Validity of modified finite-size scaling above the upper critical dimension is demonstrated for the quantum phase transition whose dynamical critical exponent is $z=2$. We consider the $N$-component Bose-Hubbard model, which is exactly…

Statistical Mechanics · Physics 2010-01-27 Yasuyuki Kato , Naoki Kawashima