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We experimentally investigate the critical behavior of a phase transition between two topologically different turbulent states of electrohydrodynamic convection in nematic liquid crystals. The statistical properties of the observed…

Statistical Mechanics · Physics 2008-01-14 Kazumasa A. Takeuchi , Masafumi Kuroda , Hugues Chaté , Masaki Sano

The transition to turbulence is characterized by an abrupt loss of order and predictability, featuring the intermittent proliferation and decay of localized turbulent structures. En-route to becoming fully turbulent, surprisingly order…

Fluid Dynamics · Physics 2025-01-15 Roger Ayats , Lukasz Klotz , Björn Hof

We study a lattice model where the coupling stochastically switches between repulsive (subtractive) and attractive (additive) at each site with probability p at every time instance. We observe that such kind of coupling stabilizes the local…

Chaotic Dynamics · Physics 2011-04-01 Abhijeet R. Sonawane

This is a comprehensive report on the phase transition between two turbulent states of electroconvection in nematic liquid crystals, which was recently found by the authors to be in the directed percolation (DP) universality class [K. A.…

Statistical Mechanics · Physics 2009-11-19 Kazumasa A. Takeuchi , Masafumi Kuroda , Hugues Chaté , Masaki Sano

We show that dense active fluids comprising interacting particles with persistent self-propulsion are driven to a non-equilibrium steady state consisting of co-moving particles with co-aligned active forces. This velocity and force sorting…

Soft Condensed Matter · Physics 2025-09-03 Suman Dutta , Pinaki Chaudhuri , Madan Rao , Chandan Dasgupta

We introduce and solve a model of hardcore particles on a one dimensional periodic lattice which undergoes an active-absorbing state phase transition at finite density. In this model an occupied site is defined to be active if its left…

Statistical Mechanics · Physics 2009-07-28 Urna Basu , P. K. Mohanty

Directed percolation (DP), a universality class of continuous phase transitions, has recently been established as a possible route to turbulence in subcritical wall-bounded flows. In canonical straight pipe or planar flows, the transition…

Fluid Dynamics · Physics 2024-07-03 Sébastien Gomé , Aliénor Rivière , Laurette S. Tuckerman , Dwight Barkley

Driven chaotic systems are of interest in mesoscopic physics, as well as in nuclear, atomic and molecular physics. Such systems [coordinates $(Q,P)$]$ tend to absorb energy. This irreversible effect is known as dissipation. "Driving" means…

Quantum Physics · Physics 2007-05-23 Doron Cohen

In a recent work [A. Deger et al., Phys. Rev. Lett. 129, 160601 (2022)] we have shown that kinetic constraints can completely arrest many-body chaos in the dynamics of a classical, deterministic, translationally-invariant spin system with…

Statistical Mechanics · Physics 2022-11-02 Aydin Deger , Achilleas Lazarides , Sthitadhi Roy

We investigate dynamics of deformable self-propelled particles with a repulsive interaction whose magnitude depends on the relative direction of elongation of a pair of particles. A collective motion of the particles appears in two…

Soft Condensed Matter · Physics 2015-05-27 Yu Itino , Takahiro Ohkuma , Takao Ohta

This review addresses recent developments in nonequilibrium statistical physics. Focusing on phase transitions from fluctuating phases into absorbing states, the universality class of directed percolation is investigated in detail. The…

Statistical Mechanics · Physics 2015-06-24 Haye Hinrichsen

In this Letter we show that the transition from laminar to active behavior in extended chaotic systems can vary from a continuous transition in the universality class of Directed Percolation with infinitely many absorbing states to what…

Statistical Mechanics · Physics 2009-10-31 Tomas Bohr , Martin van Hecke , Rene' Mikkelsen , Mads Ipsen

We consider a system of two coupled particles evolving in a periodic and spatially symmetric potential under the influence of external driving and damping. The particles are driven individually in such a way that in the uncoupled regime,…

Chaotic Dynamics · Physics 2013-05-27 Colm Mulhern , Dirk Hennig , Andrew D. Burbanks

The theory of continuous phase transitions predicts the universal collective properties of a physical system near a critical point, which for instance manifest in characteristic power-law behaviours of physical observables. The…

Statistical Mechanics · Physics 2016-06-24 Matteo Marcuzzi , Emanuele Levi , Weibin Li , Juan P. Garrahan , Beatriz Olmos , Igor Lesanovsky

We uncover a dynamical entanglement transition in a monitored quantum system that is heralded by a local order parameter. Classically, chaotic systems can be stochastically controlled onto unstable periodic orbits and exhibit controlled and…

Disordered Systems and Neural Networks · Physics 2022-08-10 Thomas Iadecola , Sriram Ganeshan , J. H. Pixley , Justin H. Wilson

Directed percolation(DP) has recently emerged as a possible solution to the century old puzzle surrounding the transition to turbulence. Multiple model studies reported DP exponents, however experimental evidence is limited since the…

Fluid Dynamics · Physics 2022-01-19 Lukasz Klotz , Gregoire Lemoult , Kerstin Avila , Bjorn Hof

The transition from complex-periodic to chaotic behavior is investigated in oscillatory media supporting spiral waves. We find turbulent regimes characterized by the spontaneous nucleation, proliferation and erratic motion of…

chao-dyn · Physics 2009-10-31 Andrei Goryachev , Hugues Chate' , Raymond Kapral

We study the collective dynamics of repulsive self-propelled particles. The particles are governed by coupled equations of motion that include polar self-propulsion, damping of velocity and of polarity, repulsive particle-particle…

Statistical Mechanics · Physics 2017-01-04 Takayuki Hiraoka , Takashi Shimada , Nobuyasu Ito

Phase transitions from an active into an absorbing, inactive state are generically described by the critical exponents of directed percolation (DP), with upper critical dimension d_c = 4. In the framework of single-species…

Condensed Matter · Physics 2009-10-31 Y. Y. Goldschmidt , H. Hinrichsen , M. Howard , U. C. Täuber

We study the relation between the directed polymer and the directed percolation models, for the case of a disordered energy landscape where the energies are taken from bimodal distribution. We find that at the critical concentration of the…

Statistical Mechanics · Physics 2009-10-31 Ehud Perlsman , Shlomo Havlin
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