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Using Environmentally Friendly Renormalization, we present an analytic calculation of the series for the renormalization constants that describe the equation of state for the $O(N)$ model in the whole critical region. The solution of the…

Statistical Mechanics · Physics 2010-12-13 Denjoe O'Connor , J. A. Santiago , C. R. Stephens , A. Zamora

We compute the crossover exponent $\phi$ describing the crossover from the random-exchange to the random-field critical behavior in Ising systems. For this purpose, we consider the field-theoretical approach based on the replica method, and…

Statistical Mechanics · Physics 2009-11-10 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

We consider dimensional crossover for an $O(N)$ Landau-Ginzburg-Wilson model on a $d$-dimensional film geometry of thickness $L$ in the large $N$-limit. We calculate the full universal crossover scaling forms for the free energy and the…

Condensed Matter · Physics 2009-10-28 Denjoe O'Connor , C. R. Stephens , A. J. Bray

We study the crossover between thermodynamic Casimir forces arising from long-range fluctuations due to Goldstone modes and those arising from critical fluctuations. Both types of forces exist in the low-temperature phase of O$(n)$…

Statistical Mechanics · Physics 2013-03-12 Volker Dohm

We study the crossover scaling behavior of the height-height correlation function in interface depinning in random media. We analyze experimental data from a fracture experiment and simulate an elastic line model with non-linear couplings…

Statistical Mechanics · Physics 2015-09-30 Y. J. Chen , Stefano Zapperi , James P. Sethna

The dependence of the scaling properties of the structure factor on space dimensionality, range of interaction, initial and final conditions, presence or absence of a conservation law is analysed in the framework of the large-N model for…

Condensed Matter · Physics 2009-10-22 Antonio Coniglio , Patrizia Ruggiero , Marco Zannetti

We study the crossover between equilibrium and off-equilibrium dynamical universality classes in the Vicsek model near its ordering transition. Starting from the incompressible hydrodynamic theory of Chen et al \cite{chen2015critical}, we…

Statistical Mechanics · Physics 2021-03-10 Andrea Cavagna , Luca Di Carlo , Irene Giardina , Tomás S. Grigera , Giulia Pisegna

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…

Statistical Mechanics · Physics 2009-11-10 S. Lubeck

We have studied the conductance distribution function of two-dimensional disordered noninteracting systems in the crossover regime between the diffusive and the localized phases. The distribution is entirely determined by the mean…

Disordered Systems and Neural Networks · Physics 2015-05-14 A. M. Somoza , J. Prior , M. Ortuno , I. V. Lerner

The bivariate high-temperature expansion of the spin-spin correlation-function of the three-dimensional classical XY (planar rotator) model, with spatially-anisotropic nearest-neighbor couplings, is extended from the 10th through the 21st…

High Energy Physics - Lattice · Physics 2010-04-30 P. Butera , M. Pernici

We analyse the critical behavior of two-dimensional N-vector spin systems with noncollinear order within the five-loop renormalization-group approximation. The structure of the RG flow is studied for different N leading to the conclusion…

Statistical Mechanics · Physics 2009-11-07 P. Calabrese , E. V. Orlov , P. Parruccini , A. I. Sokolov

The collective behaviour of statistical systems close to critical points is characterized by an extremely slow dynamics which, in the thermodynamic limit, eventually prevents them from relaxing to an equilibrium state after a change in the…

Statistical Mechanics · Physics 2009-07-13 Andrea Gambassi

We investigate a two-dimensional classical $-vector model with a generic nearest-neighbor interaction $W(\bsigma_i\cdot \bsigma_j)$ in the large-N limit, focusing on the finite-temperature transition point at which energy-energy…

Statistical Mechanics · Physics 2011-07-19 Sergio Caracciolo , Bortolo Matteo Mognetti , Andrea Pelissetto

Bounded by crossover lines exhibiting universal scaling, the supercritical regime above the critical endpoint is characterized by strong fluctuations and intriguing phenomena. In this study, we extend this notable concept of supercritical…

Strongly Correlated Electrons · Physics 2025-11-21 Junsen Wang , Enze Lv , Xinyang Li , Yuliang Jin , Wei Li

Scaling relations are used to study cross-overs, due to anisotropic spin interactions or single ion anisotropy, and due to disorder, in the thermodynamics and correlation functions near quantum-critical transitions. The principal results…

Strongly Correlated Electrons · Physics 2018-06-19 Chandra M. Varma

A discussion is presented on the crossover of the susceptibility from mean-field to Ising critical behavior upon approaching the critical point from below and from above Tc, both for He3 and Xe. Fits of the experimental susceptibility data…

Statistical Mechanics · Physics 2007-05-23 Horst Meyer

We introduce a simple criterion for lattice models to predict quantitatively the crossover between the classical and the quantum scaling of the Kibble-Zurek mechanism, as the one observed in a quantum $\phi^4$-model on a 1D lattice [Phys.…

The critical behaviour of a system of two coupled scalar fields in three dimensions is studied within the formalism of the effective average action. The fixed points of the system are identified and the crossover between them is described…

Condensed Matter · Physics 2009-10-28 S. Bornholdt , P. Buettner , N. Tetradis , C. Wetterich

The critical behavior of Ga1-xMnxAs in a close vicinity of the Curie temperature was experimentally studied by using the thermal diffusivity measurements. Taking into account that the inverse of the thermal diffusivity has the same critical…

By using a Ginzburg-Landau functional in the Gaussian approximation, we calculate the energy of superconducting fluctuations above the transition, at zero external magnetic field, of a system composed by a small number $N$ of parallel…

Superconductivity · Physics 2024-12-25 A. S. Viz , M. M. Botana , J. C. Verde , M. V. Ramallo