4.4 Article

Equation of state of a granular gas homogeneously driven by particle rotations

期刊

EPL
卷 103, 期 6, 页码 -

出版社

IOP PUBLISHING LTD
DOI: 10.1209/0295-5075/103/64004

关键词

-

资金

  1. ESA Topical Team on granular materials [4000103461]

向作者/读者索取更多资源

We report an experimental study of a dilute gas of magnetic particles subjected to a vertical alternating magnetic field in a 3D container. Due to the torque exerted by the field on the magnetic moment of each particle, a spatially homogeneous and chaotic forcing is reached where only rotational motions are driven. This forcing differs significantly from boundary-driven systems used in most previous experimental studies on non-equilibrium dissipative granular gases. Here, no cluster formation occurs, and the equation of state displays a strong analogy with the usual gas one apart from a geometric factor. Collision statistics is also measured and shows an exponential tail for the particle velocity distribution. Most of these observations are well explained by a simple model which uncovers out-of-equilibrium systems undergoing uniform heating. Copyright (C) EPLA, 2013

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.4
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

Article Physics, Multidisciplinary

Particle Dynamics at the Onset of the Granular Gas-Liquid Transition

M. Noirhomme, A. Cazaubiel, E. Falcon, D. Fischer, Y. Garrabos, C. Lecoutre-Chabot, S. Mawet, E. Opsomer, F. Palencia, S. Pillitteri, N. Vandewalle

Summary: The study experimentally investigates the behavior of few large tracer particles in a quasi-2D granular gas made of small beads in a low-gravity environment. It is found that translational energy equipartition is reached at the onset of the gas-liquid granular transition, accompanied by the emergence of local clusters. The dynamics of the tracer particles can be used as a simple and accurate tool to detect this transition, with a proposed model accurately describing the formation of local heterogeneities.

PHYSICAL REVIEW LETTERS (2021)

Article Multidisciplinary Sciences

Visual analysis of density and velocity profiles in dense 3D granular gases

Dmitry Puzyrev, David Fischer, Kirsten Harth, Torsten Trittel, Raul Cruz Hidalgo, Eric Falcon, Martial Noirhomme, Eric Opsomer, Nicolas Vandewalle, Yves Garrabos, Carole Lecoutre, Fabien Palencia, Ralf Stannarius

Summary: Studying the dynamics of granular multiparticle ensembles requires optical analysis methods. Numerical simulations similar to experiments can be used to validate the reliability of analysis methods. This approach not only confirms the accuracy of simulations, but also tests the applicability of visual analysis.

SCIENTIFIC REPORTS (2021)

Review Mechanics

Experiments in Surface Gravity-Capillary Wave Turbulence

Eric Falcon, Nicolas Mordant

Summary: In the past decade, there has been a significant increase in wave turbulence studies, particularly in the field of water waves. The theoretical modeling of ocean waves, which has driven the development of weak turbulence theory, has been found to be too idealized to capture experimental observations. Laboratory observations have revealed that the waves studied are actually gravity-capillary waves, as opposed to ocean waves. This richer physics has led to various physical effects beyond the theoretical framework, especially in the gravity-capillary crossover region.

ANNUAL REVIEW OF FLUID MECHANICS (2022)

Article Physics, Multidisciplinary

Experimental quasi-1D capillary-wave turbulence

Guillaume Ricard, Eric Falcon

Summary: This study reports the first observation of unidirectional capillary-wave turbulence on the surface of a fluid in a canal, and reveals that five-wave interactions are likely responsible for generating such turbulence at small scales. The wave spectrum is found to be in line with dimensional analysis predictions, and the main assumptions of weak turbulence theory are experimentally verified. Quasi-1D wave turbulence may have implications for other fields of wave turbulence.
Article Physics, Fluids & Plasmas

Prediction and manipulation of hydrodynamic rogue waves via nonlinear spectral engineering

Alexey Tikan, Felicien Bonnefoy, Giacomo Roberti, Gennady El, Alexander Tovbis, Guillaume Ducrozet, Annette Cazaubiel, Gaurav Prabhudesai, Guillaume Michel, Francois Copie, Eric Falcon, Stephane Randoux, Pierre Suret

Summary: The Peregrine soliton (PS) is a prototype nonlinear structure that captures the properties of rogue waves. Recent research has shown that the PS can emerge independently of its solitonic content from partially radiative or solitonless initial data. In this study, the researchers controlled the occurrence of the PS in space-time by adjusting the initial chirp. The proposed method of nonlinear spectral engineering was found to be robust to higher-order nonlinear effects.

PHYSICAL REVIEW FLUIDS (2022)

Article Physics, Multidisciplinary

Experimental observation of periodic Korteweg-de Vries solitons along a torus of fluid

Filip Novkoski, Chi-Tuong Pham, Eric Falcon

Summary: We report on the experimental observation of solitons propagating along a torus of fluid. We show that such a periodic system leads to significant differences compared to the classical plane geometry, including the observation of subsonic elevation solitons and a nonlinear dependence of soliton velocity on its amplitude. By imposing periodic boundary conditions onto the KdV equation, we recover these observations. Our work reveals the importance of periodicity for studying solitons and validates a nonlinear spectral analysis method in this periodic geometry.
Article Mechanics

Statistics of rogue waves in isotropic wave fields

Guillaume Michel, Felicien Bonnefoy, Guillaume Ducrozet, Eric Falcon

Summary: This study investigates the statistics of rogue waves occurring in the inverse cascade of surface gravity wave turbulence. It reveals that in statistically homogeneous, stationary and isotropic wave fields, low-frequency waves are generated by nonlinear interactions instead of direct forcing. The analysis of thousands of rogue waves shows that certain properties crucially depend on four-wave resonant interactions, with larger crests being more likely than predicted by second-order models.

JOURNAL OF FLUID MECHANICS (2022)

Article Physics, Multidisciplinary

Statistical Equilibrium of Large Scales in Three-Dimensional Hydrodynamic Turbulence

Jean-Baptiste Gorce, Eric Falcon

Summary: We experimentally investigate 3D hydrodynamic turbulence at scales larger than the forcing scale and manage to separate the forcing scale from the container size. Our results show that the large-scale dynamics are in statistical equilibrium and can be described using an effective temperature, though not isolated from the turbulent Kolmogorov cascade.

PHYSICAL REVIEW LETTERS (2022)

Article Multidisciplinary Sciences

Wave spectroscopy in a driven granular material

Michael Berhanu, Simon Merminod, Gustavo Castillo, Eric Falcon

Summary: This study investigates fluid-like and crystal-like states in a driven granular material. The findings reveal collective excitations characterized by dispersion relations, analogous to phonons in condensed matter, propagate in the system. When the magnetic coupling is weak, the waves are longitudinal, while both longitudinal and transverse waves propagate when the coupling is stronger, similar to solid-like phases.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2022)

Article Multidisciplinary Sciences

Nonlinear dispersion relation in integrable turbulence

Alexey Tikan, Felicien Bonnefoy, Guillaume Ducrozet, Gaurav Prabhudesai, Guillaume Michel, Annette Cazaubiel, Eric Falcon, Francois Copie, Stephane Randoux, Pierre Suret

Summary: In this study, we numerically and experimentally investigate the concept of nonlinear dispersion relation (NDR) in the context of partially coherent waves propagating in a one-dimensional water tank. The NDR of the slowly varying envelope of the deep-water waves is accurately measured using a limited number of wave gauges, providing precise characterization of frequency shift and NDR broadening, as well as revealing the presence of solitons. Our analysis shows that the shape and broadening of the NDR can indicate deviation from integrable turbulence induced by high order effects in experiments. We also compare our experimental observations with numerical simulations.

SCIENTIFIC REPORTS (2022)

Article Physics, Fluids & Plasmas

Transition from wave turbulence to acousticlike shock-wave regime

Guillaume Ricard, Eric Falcon

Summary: We experimentally observe a transition from dispersive wave turbulence to a nondispersive regime involving shock waves on a fluid surface. By tuning the dispersivity of the system using a magnetic fluid in a canal subjected to an external horizontal magnetic field, we observe gravity-capillary wave turbulence at low magnetic field and random steep coherent structures which are shock waves at high enough field. These shock waves generate singularities in the second-order difference of the surface elevation and exhibit an omega-4 frequency power spectrum.

PHYSICAL REVIEW FLUIDS (2023)

Article Physics, Fluids & Plasmas

Axisymmetric gravity-capillary standing waves on the surface of a fluid

Jules Fillette, Stephan Fauve, Eric Falcon

Summary: We report on an experimental study of axisymmetric gravity-capillary standing waves generated by a vertically vibrating ring partially immersed into a fluid. Different regimes of standing waves are observed at the basin center depending on the forcing parameters: linear, nonlinear, and ejection regimes. The experimental spatial profile of standing waves breaks the up-down symmetry for stronger forcing and is well described by a third-order nonlinear theory. Furthermore, the maximum height of the wave crest at the basin center increases linearly with its wavelength as the forcing is further increased, due to the saturation of its steepness, which is well captured by a proposed model.

PHYSICAL REVIEW FLUIDS (2022)

Article Physics, Fluids & Plasmas

Evidence of experimental three-wave resonant interactions between two dispersion branches

Filip Novkoski, Chi-Tuong Pham, Eric Falcon

Summary: We observe the nonlinear three-wave resonant interactions between the gravity-capillary and sloshing modes of hydrodynamic waves. A triadic resonance instability is observed, with exponential growth and phase locking. The efficiency of the interaction is highest when the gravity-capillary phase velocity matches the group velocity of the sloshing mode. Additional waves are generated through a cascade of three-wave interactions for stronger forcing, filling the wave spectrum. This mechanism may have relevance in systems involving multiple propagation modes.

PHYSICAL REVIEW E (2023)

Article Physics, Fluids & Plasmas

Statistics of a two-dimensional immersed granular gas magnetically forced in volume

Jean-Baptiste Gorce, Eric Falcon

Summary: In this study, we investigate the dynamics of magnets in a fluid under the influence of a vertical oscillating magnetic field. Unlike previous studies on granular gas, where energy is injected by vibrating the boundaries, our system does not show cluster formation, orientational correlation, and equipartition of energy. The linear velocity distributions of the magnets exhibit stretched exponentials, similar to boundary-forced dry granular gas systems, but the exponent is independent of the number of magnets. The conversion rate of angular momentum into linear momentum during collisions plays a crucial role in controlling the dynamics of this homogenously forced granular gas. We also compare our findings with ideal gas and nonequilibrium boundary-forced dissipative granular gas systems.

PHYSICAL REVIEW E (2023)

Article Physics, Fluids & Plasmas

Three-dimensional direct numerical simulation of free-surface magnetohydrodynamic wave turbulence

Evgeny Kochurin, Guillaume Ricard, Nikolay Zubarev, Eric Falcon

Summary: We present a three-dimensional direct numerical simulation of wave turbulence on the free surface of a magnetic fluid under an external horizontal magnetic field. We observe a transition from capillary-wave turbulence to anisotropic magneto-capillary wave turbulence with increasing magnetic field strength. At high enough magnetic field, the wave turbulence becomes highly anisotropic, cascading predominantly perpendicular to the field direction. This finding is in good agreement with the prediction of a phenomenological model and with anisotropic Alfven wave turbulence. Although surface waves on a magnetic fluid differ from Alfven waves in plasma, strong analogies exist in terms of wave spectrum scalings and magnetic-field dependent dispersionless wave velocities.

PHYSICAL REVIEW E (2022)

暂无数据