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Related papers: Novel Universality Classes in Ferroelectric Liquid…

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Based on dynamic renormalization group techniques, this letter analyzes the effects of external stochastic perturbations on the dynamical properties of cholesteric liquid crystals, studied in presence of a random magnetic field. Our…

Soft Condensed Matter · Physics 2016-02-17 Amit K. Chattopadhyay , Prabir K. Mukherjee

The Kardar-Parisi-Zhang (KPZ) universality class describes a broad range of non-equilibrium fluctuations, including those of growing interfaces, directed polymers and particle transport, to name but a few. Since the year 2000, our…

Statistical Mechanics · Physics 2018-05-29 Kazumasa A. Takeuchi

We use a novel real-time formulation of the functional renormalization group (FRG) for dynamical systems with reversible mode couplings to study Model G and H, which are the conjectured dynamic universality classes of the two-flavor chiral…

High Energy Physics - Phenomenology · Physics 2025-10-01 Yunxin Ye , Johannes V. Roth , Sören Schlichting , Lorenz von Smekal

We use a novel real-time formulation of the functional renormalization group (FRG) for dynamical systems with reversible mode couplings to study Model H, the conjectured dynamic universality class of the QCD critical point. We emphasize the…

High Energy Physics - Phenomenology · Physics 2025-02-27 Johannes V. Roth , Yunxin Ye , Sören Schlichting , Lorenz von Smekal

The recent discovery of spontaneous chiral symmetry breaking has demonstrated the possibility of discovering the exotic textures of ferromagnetic systems in liquid crystalline fluid ferro-electrics. We show that the polar smectic mesophase…

Soft Condensed Matter · Physics 2025-08-22 Jordan Hobbs , Calum J. Gibb , Richard J. Mandle

Universality is a well-established central concept of equilibrium physics. However, in systems far away from equilibrium a deeper understanding of its underlying principles is still lacking. Up to now, a few classes have been identified.…

Statistical Mechanics · Physics 2015-10-19 Vladislav Popkov , Andreas Schadschneider , Johannes Schmidt , Gunter M. Schütz

Ferroelectric ordering in liquids is a fundamental question of physics. Here, we show that ferroelectric ordering of the molecules causes formation of recently reported splay nematic liquid-crystalline phase. As shown by dielectric…

In the chiral limit the complicated many-body dynamics around the second-order chiral phase transition of two-flavor QCD can be understood by appealing to universality. We present a novel formulation of the real-time functional…

High Energy Physics - Phenomenology · Physics 2024-03-08 Johannes V. Roth , Yunxin Ye , Sören Schlichting , Lorenz von Smekal

Revealing universal behaviors is a hallmark of statistical physics. Phenomena such as the stochastic growth of crystalline surfaces, of interfaces in bacterial colonies, and spin transport in quantum magnets all belong to the same…

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 introduce and study a new model consisting of a single classical random walker undergoing continuous monitoring at rate $\gamma$ on a discrete lattice. Although such a continuous measurement cannot affect physical observables, it has a…

Statistical Mechanics · Physics 2023-01-04 Tony Jin , David G. Martin

This is a brief survey of recent experimental studies on out-of-equilibrium scaling laws, focusing on two prominent situations where non-trivial universality classes have been identified theoretically: absorbing-state phase transitions and…

Statistical Mechanics · Physics 2014-01-27 Kazumasa A. Takeuchi

We have structurally characterized the liquid crystal phase that appears as an intermediate state when a dielectric nematic, having polar disorder of its molecular dipoles, transitions to the almost perfectly polar-ordered ferroelectric…

Recent experimental realization of ferroelectric nematic liquid crystalline phases stimulated material development and numerous experimental studies of these new phases, guided by their fundamental and applicative interest. In this…

Soft Condensed Matter · Physics 2022-08-18 Nerea Sebastián , Martin Čopič , Alenka Mertelj

The nonequilibrium steady state of the one-dimensional (1D) Kardar-Parisi-Zhang (KPZ) universality class is studied in-depth by exact solutions, yet no direct experimental evidence of its characteristic statistical properties has been…

Statistical Mechanics · Physics 2020-07-14 Takayasu Iwatsuka , Yohsuke T. Fukai , Kazumasa A. Takeuchi

We present a lattice gas model that without fine tuning of parameters is expected to exhibit the so far elusive modified Kardar-Parisi-Zhang (KPZ) universality class. To this end, we review briefly how non-linear fluctuating hydrodynamics…

Probability · Mathematics 2017-10-26 Gunter M. Schütz

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 displacive structural phase transition in a two-dimensional model solid due to Benassi and co-workers [PRL 106, 256102 (2011)] is analyzed using Monte Carlo simulations and finite-size scaling. The model is shown to be a member of the…

Statistical Mechanics · Physics 2018-12-17 Richard L. C. Vink

We report the smectic $A_F$, a new liquid crystal phase of the ferroelectric nematic realm. The smectic $A_F$ is a phase of small polar, rod-shaped molecules which form two-dimensional fluid layers spaced by approximately the mean molecular…

The dipolar universality class describes the phase transition in 3D ferromagnets with strong dipolar interactions, as first discussed by Aharony and Fisher in the 1970s. While this universality class has been studied theoretically using…

High Energy Physics - Theory · Physics 2026-05-13 Akira Matsumoto , Yu Nakayama , Toshiki Onagi , Slava Rychkov
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