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We study the behaviour of a universal combination of susceptibility and correlation length in the Ising model in two and three dimensions, in presence of both magnetic and thermal perturbations, in the neighbourhood of the critical point.…

High Energy Physics - Lattice · Physics 2020-07-13 Michele Caselle , Marianna Sorba

A fully anisotropic simple-cubic Ising lattice in the geometry of periodic cylinders $n\times n\times\infty$ is investigated by the transfer-matrix finite-size scaling method. In addition to the previously obtained critical amplitudes of…

Condensed Matter · Physics 2007-05-23 M. A. Yurishchev

Isothermal interfacial zones are investigated starting from a local energy which can be considered as the sum of two terms: one corresponding to a medium with a uniform composition equal to the local one and a second one associated with the…

Mathematical Physics · Physics 2008-12-18 Henri Gouin

Critical phenomena in real fluids demonstrate a combination of universal features caused by the divergence of long-range fluctuations of density and nonuniversal (system-dependent) features associated with specific intermolecular…

Statistical Mechanics · Physics 2013-07-09 M. A. Anisimov

A fluctuating non-ideal fluid at its critical point is simulated with the Lattice Boltzmann method. It is demonstrated that the method, employing a Ginzburg-Landau free energy functional, correctly reproduces the static critical behavior…

Computational Physics · Physics 2012-07-03 M. Gross , F. Varnik

A previous analysis of scaling, bounds, and inequalities for the non-interacting functionals of thermal density functional theory is extended to the full interacting functionals. The results are obtained from analysis of the related…

Statistical Mechanics · Physics 2016-12-14 James W. Dufty , S. B. Trickey

Inelastic neutron scattering is used to study the finite-temperature scaling behavior of the local dynamic structure factor in the quasi-one-dimensional quantum antiferromagnet NTENP…

Strongly Correlated Electrons · Physics 2015-07-27 M. Hälg , D. Hüvonen , T. Guidi , D. L. Quintero-Castro , M. Boehm , L. P. Regnault , M. Hagiwara , A. Zheludev

The dynamic critical exponent and the frequency and wave-vector dependent susceptibility of the kinetic Ising model with Glauber dynamics on an alternating isotopic chain are examined. The analysis provides to our knowledge the first…

Statistical Mechanics · Physics 2007-05-23 L. L. Goncalves , M. Lopez de Haro , J. Taguena-Martinez , R. B. Stinchcombe

We develop a scaling theory for the finite-size critical behavior of the microcanonical entropy (density of states) of a system with a critically-divergent heat capacity. The link between the microcanonical entropy and the canonical energy…

Statistical Mechanics · Physics 2009-10-31 A. D. Bruce , N. B. Wilding

Motivated by recent numerical findings [M. Henkel, T. Enss, and M. Pleimling, J. Phys. A: Math. Gen. 39 (2006) L589] we re-examine via Monte Carlo simulations the linear response function of the two-dimensional Ising model with Glauber…

Statistical Mechanics · Physics 2011-02-15 Federico Corberi , Andrea Gambassi , Eugenio Lippiello , Marco Zannetti

A theory is proposed for kinetic effects in isotropic Heisenberg antiferromagnets at temperatures above the Neel point. A metod based on the analysis of a set of Feynman diagrams for the kinetic coefficients is developed for studying the…

Statistical Mechanics · Physics 2015-06-25 K. A. Kikoin , M. N. Kiselev

Finite temperature density functional theory requires representations for the internal energy, entropy, and free energy as functionals of the local density field. A central formal difficulty for an orbital-free representation is…

Statistical Mechanics · Physics 2011-05-12 James W. Dufty , S. B. Trickey

Interfacial roughening denotes the nonequilibrium process by which an initially flat interface reaches its equilibrium state, characterized by the presence of thermally excited capillary waves. Roughening of fluid interfaces has been first…

Statistical Mechanics · Physics 2013-02-28 Markus Gross , Fathollah Varnik

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

The instability of a Fermi surface against Ising nematic order destroys the quasiparticle character of the low-energy degrees of freedom. Therefore, observables exhibit deviations from Fermi liquid behavior which gives rise to the term…

Strongly Correlated Electrons · Physics 2020-11-17 Bernhard Frank , Francesco Piazza

We discuss a scaling theory of the lattice response in the vicinity of a finite-temperature critical end point. The thermal expansivity is shown to be more singular than the specific heat such that the Gr\"uneisen ratio diverges as the…

Strongly Correlated Electrons · Physics 2010-06-16 Lorenz Bartosch , Mariano de Souza , Michael Lang

We obtain an explicit expression for the multipoint energy correlations of a non solvable two-dimensional Ising models with nearest neighbor ferromagnetic interactions plus a weak finite range interaction of strength $\lambda$, in a scaling…

Mathematical Physics · Physics 2012-09-19 Alessandro Giuliani , Rafael L. Greenblatt , Vieri Mastropietro

We describe numerical simulations of the stochastic diffusion equation with a conserved charge. We focus on the dynamics in the vicinity of a critical point in the Ising universality class. The model we consider is expected to describe the…

Nuclear Theory · Physics 2023-10-17 Chandrodoy Chattopadhyay , Josh Ott , Thomas Schaefer , Vladimir Skokov

Phenomenological scaling arguments suggest the existence of universal amplitudes in the finite-size scaling of certain correlation lengths in strongly anisotropic or dynamical phase transitions. For equilibrium systems, provided that…

Statistical Mechanics · Physics 2008-11-26 Malte Henkel , Ulrich Schollwöck

For the two dimensional Ising model, we construct the adequate surface tension near criticality. The latter quantity has been shown to play a central role in the study of phase coexistence in a joint limit where the temperature approaches…

Probability · Mathematics 2007-05-23 R. J. Messikh