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A modelling methodology to reproduce the experimental measurements of a turbulent flow under the presence of symmetry is presented. The flow is a three-dimensional wake generated by an axisymmetric body. We show that the dynamics of the…

Fluid Dynamics · Physics 2023-07-19 G. Rigas , A. S. Morgans , R. D. Brackston , J. F. Morrison

We consider a one-dimensional Dicke lattice with complex photon hopping amplitudes and investigate the influence of time-reversal symmetry breaking due to synthetic magnetic fields. We show that, by tuning the total flux threading the…

Quantum Physics · Physics 2023-11-20 Jinchen Zhao , Myung-Joong Hwang

The asymmetrically forced, damped Duffing oscillator is introduced as a prototype model for analyzing the homoclinic tangle of symmetric dissipative systems with \textit{symmetry breaking} disturbances. Even a slight fixed asymmetry in the…

Dynamical Systems · Mathematics 2016-09-06 Anna Litvak Hinenzon , Vered Rom-Kedar

Based on the classical Langevin equation, we have re-visited the problem of orbital motion of a charged particle in two dimensions for a normal magnetic field crossed with or without an in-plane electric bias. We are led to two interesting…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dibyendu Roy , N. Kumar

A one-dimensional driven two-species model with parallel sublattice update and open boundaries is considered. Although the microscopic many-body dynamics is symmetric with respect to the two species and interactions are short-ranged, there…

Statistical Mechanics · Physics 2018-04-27 Richard D. Willmann , Gunter M. Schuetz , Stefan Grosskinsky

We propose a variation of spacetime noncommutative field theory to realize the stringy spacetime uncertainty relation without breaking any of the global symmetries of the homogeneous isotropic universe. We study the spectrum of metric…

High Energy Physics - Theory · Physics 2009-11-07 Robert Brandenberger , Pei-Ming Ho

We consider a general class of (intersecting) loop models in D dimensions, including those related to high-temperature expansions of well-known spin models. We find that the loop models exhibit some interesting features - often in the…

Statistical Mechanics · Physics 2007-05-23 L. Chayes , Leonid P. Pryadko , Kirill Shtengel

We study the Hamiltonian Mean Field (HMF) model of coupled Hamiltonian rotors with a heterogeneous distribution of moments of inertia and coupling strengths. We show that when the parameters of the rotors are heterogeneous, finite size…

Chaotic Dynamics · Physics 2014-06-10 Juan G. Restrepo , James D. Meiss

Spontaneous symmetry breaking occurs in a system when its Hamiltonian possesses a certain symmetry, whereas the ground state wave functions do not preserve it. This provides such a scenario that a bifurcation, which breaks the symmetry,…

Statistical Mechanics · Physics 2015-05-13 Jian-Hui Zhao , Hong-Lei Wang , Bo Li , Huan-Qiang Zhou

The sensitivity of inflationary spectra to initial conditions is addressed in the context of a phenomenological model that breaks Lorentz invariance by dissipative effects above some threshold energy $\Lambda$. These effects are obtained…

High Energy Physics - Phenomenology · Physics 2008-11-26 Julian Adamek , David Campo , Jens C. Niemeyer , Renaud Parentani

A transversally driven isotropic ferromagnet being under the influence of a static external and an uniaxial internal anisotropy field is studied. We consider the dissipative Landau-Lifshitz equation as the fundamental equation of motion and…

patt-sol · Physics 2009-10-28 F. Matthäus , H. Sauermann

We consider an one-dimensional lattice system of unbounded and continuous spins. The Hamiltonian consists of a perturbed strictly-convex single-site potential and with longe-range interaction. We show that if the interactions decay…

Probability · Mathematics 2015-06-17 Georg Menz , Robin Nittka

We investigate the broadband turbulent dynamics of attached and separated flows over a Gaussian bump, focusing on the origin of low-frequency coherent structures. The analysis combines time-resolved experimental measurements with…

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 assume that the energy spectrum of a chaotic system undergoing symmetry breaking transitions can be represented as a superposition of independent level sequences, one increasing on the expense of the others. The relation between the…

Statistical Mechanics · Physics 2007-05-23 A. Y. Abul-Magd , M. H. Simbel

We consider two classical macrospins with dynamical (frequency-dependent) coupling, modeled by a generalized Landau-Lifshitz-Gilbert equation. We show that, in the absence of local damping, the resulting dynamics are pseudo-Hermitian. When…

Mesoscale and Nanoscale Physics · Physics 2025-02-27 Peter Connick , Shane P. Kelly , Yaroslav Tserkovnyak

We show that an atomic system in a periodically modulated optical trap displays an ideal mean-field symmetry-breaking transition. The symmetry is broken with respect to time translation by the modulation period. The transition is due to the…

Statistical Mechanics · Physics 2015-05-14 Myoung-Sun Heo , Yonghee Kim , Kihwan Kim , Geol Moon , Junhyun Lee , Heung-Ryoul Noh , M. I. Dykman , Wonho Jhe

Starting from the classical Saltzman 2D convection equations, we derive via a severe spectral truncation a minimal 10 ODE system which includes the thermal effect of viscous dissipation. Neglecting this process leads to a dynamical system…

Chaotic Dynamics · Physics 2011-10-11 Valerio Lucarini , Klaus Fraedrich

The critical behaviour of three-dimensional disordered systems is investigated by analysing the spectral fluctuations of the energy spectrum. Our results suggest that the initial symmetries (orthogonal, unitary and symplectic) are broken by…

Disordered Systems and Neural Networks · Physics 2008-02-03 E. Hofstetter

The dynamics of amorphous granular matter with frictional interactions cannot be derived in general from a Hamiltonian and therefore displays oscillatory instabilities stemming from the onset of complex eigenvalues in the stability matrix.…

Statistical Mechanics · Physics 2020-05-13 Silvia Bonfanti , Joyjit Chattoraj , Roberto Guerra , Itamar Procaccia , Stefano Zapperi