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We show by extensive simulations that the whole supercritical phase of the three-dimensional uniform forest model simultaneously exhibits an infinite tree and a rich variety of critical phenomena. Besides typical scalings like algebraically…

Statistical Mechanics · Physics 2024-05-08 Hao Chen , Jesús Salas , Youjin Deng

We extend the theory of quasipotentials in dynamical systems by calculating, within a broad class of period-doubling maps, an exact potential for the critical fluctuations of pitchfork bifurcations in the weak noise limit. These…

Statistical Mechanics · Physics 2017-01-23 Andrew E. Noble , Saba Karimeddiny , Alan Hastings , Jonathan Machta

In this note we investigate the anomalous breaking of anisotropic scaling symmetry in a non-relativistic field theory with dynamical exponent z=2. On general grounds, one can show that there exist two possible "central charges" which…

High Energy Physics - Theory · Physics 2012-09-25 Marco Baggio , Jan de Boer , Kristian Holsheimer

We analyse the critical behaviour of anomalous currents in N=1 four-dimensional supersymmetric gauge theories in the context of electric-magnetic duality. We show that the anomalous dimension of the Konishi superfield is related to the…

High Energy Physics - Theory · Physics 2009-10-30 A. Johansen

We use bosonization to derive the effective field theory that properly describes ferromagnetic transition in one-dimensional itinerant electron systems. The resultant theory is shown to have dynamical exponent z=2 at tree leve and upper…

Strongly Correlated Electrons · Physics 2009-11-10 Kun Yang

The problem of the effects of compressibility and large-scale anisotropy on anomalous scaling behavior is considered for two models describing passive advection of scalar density and tracer fields. The advecting velocity field is Gaussian,…

Chaotic Dynamics · Physics 2009-10-31 N. V. Antonov , Juha Honkonen

Anomalous U(1) gauge symmetries in type II orientifold theories show some unexpected properties. In contrast to the heterotic case, the masses of the gauge bosons are in general of order of the string scale even in the absence of large…

High Energy Physics - Theory · Physics 2014-11-18 Zygmunt Lalak , Stéphane Lavignac , Hans Peter Nilles

We analyse numerically the critical behavior of an absorbing phase transition in a conserved lattice gas in an external field. The external field is realized as a spontaneous creation of active particles which drives the system away from…

Statistical Mechanics · Physics 2009-11-07 S. Lubeck

The Loop Variable method that has been developed for the U(1) bosonic open string is generalized to include non-Abelian gauge invariance by incorporating "Chan-Paton" gauge group indices. The scale transformation symmetry $k(s) \to k(s)…

High Energy Physics - Theory · Physics 2009-11-10 B. Sathiapalan

The infrared divergences of massless n-parton scattering amplitudes can be derived from the anomalous dimension of n-jet operators in soft-collinear effective theory. Up to three-loop order, the latter has been shown to have a very simple…

High Energy Physics - Phenomenology · Physics 2015-06-11 Valentin Ahrens , Matthias Neubert , Leonardo Vernazza

The influence of a strong disorder on the critical dynamics of 3D Heisenberg ferromagnet was investigated by high-resolution quasielastic neutron scattering. A new disorder-induced dynamical critical behavior was found, characterized by its…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Alba , S. Pouget

We study the kinetics of the nematic-isotropic transition in a two-dimensional liquid crystal by using a lattice Boltzmann scheme that couples the tensor order parameter and the flow consistently. Unlike in previous studies, we find the…

Soft Condensed Matter · Physics 2009-11-07 Colin Denniston , Enzo Orlandini , J. M. Yeomans

We present a numerical and theoretical study that supports and explains recent experimental results on anomalous magnetization fluctuations of a uniaxial ferromagnetic film in its low-temperature phase, which is forced by an oscillating…

Materials Science · Physics 2017-10-18 Gloria M. Buendia , Per Arne Rikvold

We present a comprehensive theory of the dynamics and fluctuations of a two-dimensional suspension of polar active particles in an incompressible fluid confined to a substrate. We show that, depending on the sign of a single parameter, a…

Soft Condensed Matter · Physics 2020-01-22 Ananyo Maitra , Pragya Srivastava , M. Cristina Marchetti , Sriram Ramaswamy , Martin Lenz

We propose a scaling ansatz for the elastic energy of a system near the critical jamming transition in terms of three relevant fields: the compressive strain $\Delta \phi$ relative to the critical jammed state, the shear strain $\epsilon$,…

Soft Condensed Matter · Physics 2015-10-14 Carl P. Goodrich , Andrea J. Liu , James P. Sethna

Criticality with strong coupling is described by a theory in the vicinity of a non-Gaussian fixed point. The holographic duality conjectures that a theory at a non-Gaussian fixed point with strong coupling is dual to a gravitational theory.…

High Energy Physics - Theory · Physics 2012-09-20 M. J. Luo

The interplay between strong Coulomb interactions and randomness has been a long-standing problem in condensed matter physics. According to the scaling theory of localization, in two-dimensional systems of noninteracting or weakly…

Strongly Correlated Electrons · Physics 2007-05-23 S. V. Kravchenko , M. P. Sarachik

In ultrafast experiments, an optical pump pulse often generates transient domain walls of the order parameter in materials with spontaneous symmetry breaking, due to either a finite penetration depth of light on a three-dimensional (3D)…

Strongly Correlated Electrons · Physics 2025-03-04 Lingxian Kong , Ryuichi Shindou , Zhiyuan Sun

We analyze the problem of the Nielsen-Olesen unstable modes in the $SU(2)$ lattice gauge theory by means of a recently introduced gauge-invariant effective action. We perform numerical simulations in the case of a constant Abelian…

High Energy Physics - Lattice · Physics 2009-10-28 Paolo Cea , Leonardo Cosmai

Statistical systems displaying a strongly anisotropic or dynamical scaling behaviour are characterized by an anisotropy exponent theta or a dynamical exponent z. For a given value of theta, we construct local scale transformations which can…

High Energy Physics - Theory · Physics 2015-06-26 Malte Henkel