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The concept of the order parameter is extremely useful in physics. Here, I discuss extensions of this concept to cases when the order parameter is no longer a constant but fluctuates or oscillates in space and time. This allows one to…

Strongly Correlated Electrons · Physics 2019-12-20 Konstantin B. Efetov

Matter exhibits phases and their transitions. These transitions are classified as first-order phase transitions (FOPTs) and continuous ones. While the latter has a well-established theory of the renormalization group, the former is only…

Statistical Mechanics · Physics 2017-04-12 Fan Zhong

We show that, in periodically perturbed chaotic systems, Phase Synchronization appears, associated to a special type of stroboscopic map, in which not only averages quantities are equal to invariants of the perturbation, the angular…

Statistical Mechanics · Physics 2007-05-23 M. S. Baptista , T. Pereira , J. C. Sartorelli , I. L. Caldas , J. Kurths

Because of one-valued connection between the configurational entropy and the order parameter it is possible to present the theory of the second order phase transitions in terms of the configurational entropy. It is offered a variant of…

Statistical Mechanics · Physics 2013-09-27 Leonid S. Metlov

Phase-coupled oscillators serve as paradigmatic models of networks of weakly interacting oscillatory units in physics and biology. The order parameter which quantifies synchronization was so far found to be chaotic only in systems with…

Chaotic Dynamics · Physics 2011-12-12 Christian Bick , Marc Timme , Danilo Paulikat , Dirk Rathlev , Peter Ashwin

Motivated by experiments on sheared suspensions that show a transition between ordered and disordered phases, we here study the long-time behavior of a sheared and overdamped 2-d system of particles interacting by repulsive forces. As a…

Soft Condensed Matter · Physics 2016-01-06 Jens C. Pfeifer , Tobias Bischoff , Georg Ehlers , Bruno Eckhardt

Correlation functions in one-dimensional complex scalar field theory provide a toy model for phase fluctuations, sign problems, and signal-to-noise problems in lattice field theory. Phase unwrapping techniques from signal processing are…

High Energy Physics - Lattice · Physics 2018-11-12 William Detmold , Gurtej Kanwar , Michael L. Wagman

We continue the analysis of the onset of classical behaviour in a scalar field after a continuous phase transition, in which the system-field, the long wavelength order parameter of the model, interacts with an environment, of its own…

High Energy Physics - Theory · Physics 2009-11-10 R. J. Rivers , F. C. Lombardo

Standard order-disorder phase transition in the Ising model is described in terms of rates of processes of spin flips. This formulation allows to extend numerous results on phase transition for sciences other than physics of magnetism. We…

Physics and Society · Physics 2011-08-25 Krzysztof Malarz , Ruediger Korff , Krzysztof Kulakowski

The dynamics of weak vs. strong first order phase transitions is investigated numerically for 2+1 dimensional scalar field models. It is argued that the change from a weak to a strong transition is itself a (second order) phase transition,…

High Energy Physics - Phenomenology · Physics 2009-10-28 Marcelo Gleiser

We study the structure of the phase diagram for systems consisting of 2- and 3- level particles dipolarly interacting with a 1-mode electromagnetic field, inside a cavity, paying particular attention to the case of a finite number of…

Quantum Physics · Physics 2015-02-04 Eduardo Nahmad-Achar , Sergio Cordero , Octavio Castaños , Ramón López-Peña

We investigate the phase diagram of a two-component associating fluid mixture in the presence of selectively adsorbing substrates. The mixture is characterized by a bulk phase diagram which displays peculiar features such as closed loops of…

Statistical Mechanics · Physics 2009-11-07 J. M. Romero-Enrique , L. F. Rull , U. Marini Bettolo Marconi

Using a fermionic renormalization group approach we analyse a model where the electrons diffusing on a quantum dot interact via Fermi-liquid interactions. Describing the single-particle states by Random Matrix Theory, we find that…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ganpathy Murthy , Harsh Mathur

Based on the order parameter expansion, we present an approximate method which allows us to reduce large systems of coupled differential equations with diverse parameters to three equations: one for the global, mean field, variable and two…

Disordered Systems and Neural Networks · Physics 2015-05-18 Niko Komin , Raul Toral

We analyze the non-equilibrium order-disorder transition of Axelrod's model of social interaction in several complex networks. In a small world network, we find a transition between an ordered homogeneous state and a disordered state. The…

Condensed Matter · Physics 2009-11-07 Konstantin Klemm , Victor M. Eguiluz , Raul Toral , Maxi San Miguel

The universal theory of order parameter fluctuations (delta scaling laws) is applied to a wide range of intermediate energy heavy-ion collision data obtained with INDRA. This systematic study confirms that the observed fragment production…

Nuclear Experiment · Physics 2019-08-15 J. D. Frankland , R. Bougault , A. Chbihi , S. Hudan , A. Mignon

The phase transition patterns displayed by a model of two coupled complex scalar fields are studied at finite temperature and chemical potential. Possible phenomena like symmetry persistence and inverse symmetry breaking at high…

High Energy Physics - Phenomenology · Physics 2023-02-24 Manuella C. Silva , Rudnei O. Ramos , Ricardo L. S. Farias

We consider the Blume-Capel model with the quantum tunneling between the excited states. We find a magnetically ordered phase transition induced by quantum fluctuation in a model. The model has no phase transition in the corresponding…

Statistical Mechanics · Physics 2007-05-23 Norikazu Todoroki , Seiji Miyashita

We present a theoretical analysis of the phase diagram of two--component bosons on an optical lattice. A new formalism is developed which treats the effective spin interactions in the Mott and superfluid phases on the same footing. Using…

Soft Condensed Matter · Physics 2009-11-10 Ehud Altman , Walter Hofstetter , Eugene Demler , Mikhail D. Lukin

We investigate the influence of aperiodic modulations of the exchange interactions between nearest-neighbour rows on the phase transition of the two-dimensional eight-state Potts model. The systems are studied numerically through intensive…

Statistical Mechanics · Physics 2009-10-31 Christophe Chatelain , Pierre Emmanuel Berche , Bertrand Berche
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