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We look at the influence of external fields on systems described by generic free energy functional of the order parameter. The external force may have arbitrary spatial dependence, and the order parameter coupling may be nonlinear. The…

Statistical Mechanics · Physics 2023-01-05 Roni Kroll , Yoav Tsori

We develop a theory of the critical point of the ferromagnetic Ising model, whose basic objects are the ergodic (pure) states of the infinite system. It proves the existence of anomalous critical fluctuations, for dimension $\nu=2$ and,…

Mathematical Physics · Physics 2024-05-10 Domingos H. U. Marchetti , Manfred Requardt , Walter F. Wreszinski

The Ginzburg-Landau model below its critical temperature in a temporally oscillating external field is studied both theoretically and numerically. As the frequency or the amplitude of the external force is changed, a nonequilibrium phase…

Statistical Mechanics · Physics 2009-10-31 H. Fujisaka , H. Tutu , P. A. Rikvold

We have examined the stationary state solutions of a bond diluted kinetic Ising model under a time dependent oscillating magnetic field within the effective-field theory (EFT) for a honeycomb lattice $(q=3)$. Time evolution of the system…

Statistical Mechanics · Physics 2012-07-20 E. Vatansever , B. O. Aktas , Y. Yuksel , U. Akinci , H. Polat

The microscopic approach to the description of the phase behaviour and critical phenomena in binary fluid mixtures is proposed. It is based on the method of collective variables with a reference system. The physical nature of the order…

Condensed Matter · Physics 2009-10-31 O. V. Patsahan

We consider the phase transition in a model which consists of a Ginzburg-Landau free energy for superconductors including a Chern-Simons term. The mean field theory of Halperin, Lubensky and Ma [Phys. Rev. Lett. 32, 292 (1974)] is applied…

Superconductivity · Physics 2010-12-17 A. P. C. Malbouisson , F. S. Nogueira , N. F. Svaiter

Rydberg chains provide an appealing platform for probing conformal field theories (CFTs) that capture universal behavior in a myriad of physical settings. Focusing on a Rydberg chain at the Ising transition separating charge density wave…

Strongly Correlated Electrons · Physics 2021-12-07 Kevin Slagle , David Aasen , Hannes Pichler , Roger S. K. Mong , Paul Fendley , Xie Chen , Manuel Endres , Jason Alicea

We consider quantum rotors or Ising spins in a transverse field on a $d$-dimensional lattice, with random, frustrating, short-range, exchange interactions. The quantum dynamics are associated with a finite moment of inertia for the rotors,…

Condensed Matter · Physics 2009-10-22 N. Read , S. Sachdev , J. Ye

We determine the nature of the magnetic quantum critical point in the doped LaFeAsO using a set of constrained density functional calculations that provide ab initio coefficients for a Landau order parameter analysis. The system turns out…

Superconductivity · Physics 2012-01-31 G. Giovannetti , C. Ortix , M. Marsman , M. Capone , J. van den Brink , J. Lorenzana

The mesoscopic field theory for ionic systems [A. Ciach and G. Stell, J. Mol. Liq. 87, 255 (2000)] is extended to the system with charged boundaries. A very simple expression for the excess grand potential functional of the charge density…

Soft Condensed Matter · Physics 2018-11-20 Alina Ciach

We uncover a finite-time dynamical phase transition in the thermal relaxation of a mean-field magnetic model. The phase transition manifests itself as a cusp singularity in the probability distribution of the magnetisation that forms at a…

Statistical Mechanics · Physics 2022-03-23 Jan Meibohm , Massimiliano Esposito

We investigate the critical behavior of continuous phase transitions in the context of Ginzburg Landau models with a double well effective potential. In particular, we show that the recently proposed configurational entropy, a measure of…

Statistical Mechanics · Physics 2020-12-10 Marcelo Gleiser , Damian Sowinski

Effects of charge-density fluctuations on a phase behavior of the restricted primitive model (RPM) are studied within a field-theoretic formalism. We focus on a $\lambda$-line of continuous transitions between charge-ordered and…

Statistical Mechanics · Physics 2009-11-11 A. Ciach , O. Patsahan

Near-critical binary mixtures containing ions and confined between two charged and selective surfaces are studied within a Landau-Ginzburg theory extended to include electrostatic interactions. Charge density profiles and the effective…

Soft Condensed Matter · Physics 2012-02-28 Faezeh Pousaneh , Alina Ciach , Anna Maciolek

We propose a mean-field, phenomenological Ginzburg-Landau free energy functional with two competing order parameters for a two-component, spin-polarized Fermi gas. This free energy supports a tricritical point which is different from the…

Superconductivity · Physics 2017-10-27 Arghya Dutta , J. K. Bhattacharjee

In the context of the dynamical mean-field theory of the Hubbard model, we identify microscopically an order parameter for the finite temperature Mott endpoint. We derive a Landau functional of the order parameter. We then use the order…

Strongly Correlated Electrons · Physics 2009-10-31 G. Kotliar , E. Lange , M. J. Rozenberg

An exact solution of a Landau model of an order-disorder transition with activated critical dynamics is presented. The model describes a funnel-shaped topography of the order parameter space in which the number of energy lowering…

Statistical Mechanics · Physics 2009-11-10 Satya N. Majumdar , Dibyendu Das , Jane' Kondev , Bulbul Chakraborty

The Landau expansion for the free energy of the superconducting mixed state near the upper critical field in powers of the square modulus of the order parameter averaged over Abrikosov lattice is derived. The analytical calculations has…

Superconductivity · Physics 2016-08-31 V. P. Mineev

Equations built on fractional derivatives prove to be a powerful tool in the description of complex systems when the effects of singularity, fractal supports, and long-range dependence play a role. In this paper, we advocate an application…

Superconductivity · Physics 2007-05-23 Alexander V. Milovanov , Jens J. Rasmussen

We establish an intriguing connection between quantum phase transitions and bifurcations in the ground-state fidelity per lattice site, and construct the universal order parameter for quantum Ising model in a transverse magnetic field on an…

Strongly Correlated Electrons · Physics 2011-05-17 Sheng-Hao Li , Hong-Lei Wang , Qian-Qian Shi , Huan-Qiang Zhou