Molecular dynamics study of shear-induced long-range correlations in simple fluids

Abstract

We investigate long-range correlations (LRCs) induced by shear flow using the molecular dynamics (MD) simulation. We observe the LRCs by comparing the MD results with the linearized fluctuating hydrodynamics (LFH). We find that the MD result has large finite-size effects, and it prevents the occurrence of LRCs in small systems. We examine the finite-size effects using a sufficiently large system consisting of more than ten million particles, and verify the existence of shear-induced LRCs without ambiguity. Furthermore, we show that MD result is quantitatively consistent with the LFH solution for the large system. As we reduce the system size $L$ or increase the shear rate $\dot{\gamma }$, the hydrodynamic description gradually breaks down in the long-wavelength region. We define a characteristic wavenumber $k^{\mathrm{vio}}$ associated with the breakdown and find the nontrivial scaling relations $k^{\mathrm{vio}}\propto L^{-\omega }$ and $k^{\mathrm{vio}}\propto \dot{\gamma }$, where $\omega$ is an exponent depending on $\dot{\gamma }$. These relations enable us to estimate the finite-size effects in a larger-size simulation from a smaller system.

arXiv comment14pages, 9figures, 1 table, accepted version in Physical Review Research

References in corpus (13)

• Large Deviation of the Density Profile in the Steady State of the Open Symmetric Simple Exclusion Process
• Non-equilibrium electromagnetic fluctuations: Heat transfer and interactions
• Stochastic interacting particle systems out of equilibrium
• Giant Casimir effect in fluids in non-equilibrium steady states
• Long range correlations and phase transition in non-equilibrium diffusive systems
• The effects of violating detailed balance on critical dynamics
• Long-range fluctuation-induced forces in driven electrolytes
• Existence of long-range order in the steady state of a two dimensional, two-temperature XY model
• Anomalous Pressure in Fluctuating Shear Flow
• Spatial correlations in sheared isothermal liquids : From elastic particles to granular particles
• Shear-induced quench of long-range correlations in a liquid mixture
• Hydrodynamic correlations in shear flow: A Multiparticle--Collision--Dynamics simulation study
• Spatial correlations of hydrodynamic fluctuations in simple fluids under shear flow: A mesoscale simulation study

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