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We report a dynamic light scattering study of the fluctuation modes in a thermotropic liquid crystalline mixture of monomer and dimer compounds that exhibits the twist-bend nematic ($\mathrm{N_{TB}}$) phase. The results reveal a spectrum of…

We use a fluctuating hydrodynamic approach to calculate the orientation fluctuations correlation functions of a thermotropic nematic liquid crystal in a nonequilibrium state induced by a stationay heat flux. Since in this nonequilibrium…

Statistical Mechanics · Physics 2016-08-16 R. F. Rodríguez , H. Híjar

The capability of hydrodynamics to accurately describe slow and long-wavelength fluctuations around non-equilibrium steady states (NESS), characterized by a stationary flow of energy or matter in the presence of a driving force, remains an…

Statistical Mechanics · Physics 2024-11-06 Daniel K. Brattan , Masataka Matsumoto , Matteo Baggioli , Andrea Amoretti

We present a symmetry-based formulation of nonlinear fluctuating hydrodynamics (NFH) for one-dimensional many-particle systems with generic homogeneous nearest-neighbor interactions. We derive the hydrodynamic equations solely from symmetry…

Statistical Mechanics · Physics 2026-05-13 Yuki Minami , Hiroyoshi Nakano , Keiji Saito

Nonlinear fluctuating hydrodynamics (NFHD) is a powerful framework for understanding transport, but checking its validity with molecular dynamics is still challenging. Here, we overcome this challenge by developing an effective scheme for…

Statistical Mechanics · Physics 2020-05-22 Daxing Xiong

In the recent years the lattice Boltzmann (LB) methodology has been fruitfully extended to include the effects of thermal fluctuations. So far, all studied cases pertain equilibrium fluctuations, i.e. fluctuations with respect to an…

Computational Physics · Physics 2019-06-26 Daniele Belardinelli , Mauro Sbragaglia , Roberto Benzi , Sergio Ciliberto

In this note, I summarise and comment on joint work with C. Bernardin, V. Kannan and J. L. Lebowitz concerning two harmonic systems with bulk noises whose nonequilibrium steady states (NESS) are nearly identical (they share the same thermal…

Mathematical Physics · Physics 2012-10-23 Jani Lukkarinen

Using functional methods, we investigate the sound quanta arising from quantized hydrodynamic fields in simple liquids at low temperatures, under the influence of high-energy processes, coming from non-hydrodynamic degrees of freedom. To…

Disordered Systems and Neural Networks · Physics 2025-12-24 I. P. de Freitas , F. Sobrero , A. M. S. Macedo , N. F. Svaiter

Static and dynamical structure factors for shear and longitudinal modes of the velocity and density fields are computed for a granular system fluidized by a stochastic bath with friction. Analytical expressions are obtained through…

Statistical Mechanics · Physics 2015-05-28 Giacomo Gradenigo , Alessandro Sarracino , Dario Villamaina , Andrea Puglisi

We introduce a model described in terms of a scalar velocity field on a 1d lattice, evolving through collisions that conserve momentum but do not conserve energy. Such a system posseses some of the main ingredients of fluidized granular…

Statistical Mechanics · Physics 2016-11-17 A. Lasanta , A. Manacorda , A. Prados , A. Puglisi

Fluctuating hydrodynamics provides a model for fluids at mesoscopic scales where thermal fluctuations can have a significant impact on the behavior of the system. Here we investigate a model for fluctuating hydrodynamics of a single…

Fluid Dynamics · Physics 2015-06-22 Anuj Chaudhri , John B. Bell , Alejandro L. Garcia , Aleksandar Donev

Using the framework of nonlinear fluctuating hydrodynamics (NFH), we examine equilibrium spatio-temporal correlations in classical ferromagnetic spin chains with nearest neighbor interactions. In particular, we consider the classical…

Statistical Mechanics · Physics 2020-06-30 Avijit Das , Kedar Damle , Abhishek Dhar , David A. Huse , Manas Kulkarni , Christian B. Mendl , Herbert Spohn

Instability and rupture dynamics of a liquid nano-thread, subjected to external hydrodynamic perturbations, are captured by a stochastic lubrication equation (SLE) incorporating thermal fluctuations via Gaussian white noise. Linear…

Fluid Dynamics · Physics 2024-11-20 Zhao Zhang , Chengxi Zhao , Ting Si

We investigate hydrodynamic fluctuations in a 2D granular fluid excited by a vibrating base and in the presence of gravity, focusing on the transverse velocity modes. Since the system is inhomogeneous, we measure fluctuations in horizontal…

Soft Condensed Matter · Physics 2015-05-28 Giulio Costantini , Andrea Puglisi

We introduce a new mesoscopic model for nematic liquid crystals (LCs). We extend the particle-based stochastic rotation dynamics method, which reproduces the Navier-Stokes equation, to anisotropic fluids by including a simplified…

Soft Condensed Matter · Physics 2015-05-20 Kuang-Wu Lee , Marco G. Mazza

Non-equilibrium and equilibrium fluid systems differ due to the existence of long-range correlations in non-equilibrium that are not present in equilibrium, except at critical points. Here we examine fluctuations of the temperature, of the…

Statistical Mechanics · Physics 2015-09-02 T. R. Kirkpatrick , J. R. Dorfman

We report a new experimental approach for observing mesoscopic fluctuations underlying the thermodynamic anomalies of ambient liquid water. In this approach, two sound velocity measurements with different frequencies, namely inelastic X-ray…

Fluctuating hydrodynamics (FHD) provides a framework for modeling microscopic fluctuations in a manner consistent with statistical mechanics and nonequilibrium thermodynamics. This paper presents an FHD formulation for isothermal reactive…

Fluid Dynamics · Physics 2018-09-05 Changho Kim , Andy Nonaka , John B. Bell , Alejandro L. Garcia , Aleksandar Donev

We present a novel approach to the treatment of thermal fluctuations in the (3+1)-D viscous hydrodynamic simulation MUSIC. The phenomenological impact of thermal fluctuations on hadronic observables is investigated using the IP-Glasma +…

Nuclear Theory · Physics 2019-02-20 Mayank Singh , Chun Shen , Scott McDonald , Sangyong Jeon , Charles Gale

The nonequilibrium dynamics of a binary Lennard-Jones mixture in a simple shear flow is investigated by means of molecular dynamics simulations. The range of temperature investigated covers both the liquid, supercooled and glassy states,…

Soft Condensed Matter · Physics 2009-11-07 Ludovic Berthier , Jean-Louis Barrat
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