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Forster, D. Hydrodynamic fluctuations, broken symmetry, and correlation functions Perseus, Evans, D. Brown, J. Light scattering study of dynamic and time-averaged correlations in dispersions of charged particles. A: Math Gen. Pusey, P. Intensity fluctuation spectroscopy of charged Brownian particles: the coherent scattering function. A: Math.

Shattuck, M.

Formation of Correlations

Granular thermodynamics. Powders and Grains , Proc. Micromechanisms Granular Media , Nakagawa, M. Reis, P. Caging effects in a granular fluid. Marty, G. Subdiffusion and cage effect in a sheared granular material. Campbell, C. Granular material flows - an overview. Powder Tech. Gibbs, J. Elementary principles in statistical mechanics University Press, Landau, L. Statistical physics vol. Oxford Pathria, R. Statistical mechanics , 3rd ed.

Nonequilibrium Physics at Short Time Scales

Elsevier, Jenkins, J. A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles. Fluid Mech. Zwanzig, R. Time-correlation functions and transport coefficients in statistical mechanics. Kadanoff, L. Hydrodynamic equations and correlation functions. Annals Phys.

Kubo, R. Statistical-mechanical theory of irreversible processes. Japan 12 , — Statistical physics II: nonequilibrium statistical mechanics Springer, Mountain, R. Generalized hydrodynamics. Advances in Molecular Relaxation Processes 9 , — Fleischhauer, E. Application of particle imaging velocimetry PIV to vibrational finishing. Materials Proc. Toda, M. Statistical physics I , 2nd ed. Springer-Verlag, Levesque, D. A 2 , — Long-time behavior of the velocity autocorrelation function for a fluid of soft repulsive particles. Download references. Media donations provided by Rosler are gratefully acknowledged.

Correspondence to R. This work is licensed under a Creative Commons Attribution 4. CIRP Annals Measurement Science and Technology By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate. Article metrics. Advanced search. Skip to main content. Subjects Physics Statistical physics, thermodynamics and nonlinear dynamics.

Abstract Experimental evidence and theoretical modeling suggest that piles of confined, high-restitution grains, subject to low-amplitude vibration, can serve as experimentally-accessible analogs for studying a range of liquid-state molecular hydrodynamic processes. Introduction Molecular hydrodynamics typically uses two approaches to study molecular-scale dynamics in liquids and gases, the first measuring light 1 , neutrons 2 , or high-frequency sound scattered from an interrogation volume 3 , the second computationally simulating the dynamics of spatially-limited, N-body systems subject to various forcing mechanisms, and interacting through specified interparticle potentials 3 , 4 , 5 , 6 , 7.

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Results This paper reports a set of experimental and theoretical contributions to the study of dense, liquid-like, vibration-driven granular systems. Figure 1: Experimental measurement of grain dynamics. Full size image.

Long-range correlations in non-equilibrium diffusive systems by Tridib Sadhu

Figure 2: Experimental signature of local statistical mechanical equilibrium. Figure 3: Solid-liquid, liquid, and dense gas single-grain hydrodynamics. Figure 4: Hydrodynamic organization of short-time-scale single-grain dynamics. Figure 5: Hydrodynamic grain pile response to vibration. Figure 6: Qualitative comparison of measured and calculated hydrodynamic grain flows. Summary Experiments and statistical mechanical modeling demonstrate that high-restitution grain piles, subject to low-amplitude vibration, share many essential dynamical properties known and predicted in molecular hydrodynamic dense gas and liquid systems: i Grain systems exist in local macroscale statistical mechanical equilibrium.

Additional Information How to cite this article : Keanini, R. References 1. Google Scholar 2. Meiwes-Broer, J. Dinh, E. Suraud, Rev. Dinh, P. Reinhard, E. Suraud, Phys. Stone, P. Reinhard, Prog.

Macroscopic liquid-state molecular hydrodynamics | Scientific Reports

Suraud, page in "Time-dependent density functional theory" edts. Marques, C. Ullrich, F. Nogueira, Springer, Berlin, Andrae, M. Belkacem, T. Giglio, M. Ma, F. Megi, A. Pohl, in " Formation of Correlations - Nonequilibrium at short time scales " edts. Morawetz, Springer, Berlin, Belkacem, M.

Bouchenne, P. Suraud, Encycl. Bender, P. Ballentine, L.. World Scientific. For a discussion of the standard uncertainty relations for mixed states see, e. We remark that a shorter, one line, proof of the uncertainty relations for mixed states follows from the fact that any density matrix may be expressed in terms of pure states [46, 47]. These conditions need not always hold. D20 Belavkin, V. Quantum continual measurements and a posteriori collapse on CCR - Foroozani, N..

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  8. Misra, B.. APS Physics,18, Wolf, F. A Watched Pot Never Boils - Strictly speaking, a finite interval of the internal energy densities corresponds to the single melting and other coexistence temperature s. This width of this interval is set by the latent heat of fusion at the melting temperature. At other temperatures in which no phase coexistence appears, there is a unique internal energy density a sharp thermodynamic state variable T associated with every temperature T. Our focus is on Hamiltonians for which equilibration arises.

    For completeness, we note that our generally derived broadening of the distribution P 0 in driven systems would imply relations similar to Eq. Goldstein, S.. Extremely quick thermalization in a macroscopic quantum system for a typical nonequilibrium subspace - APS Physics,17, On the time scales in the approach to equilibrium of macroscopic quantum systems - Sachdev, S.. Bruin, J.

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    While it is natural to expect a continuous Gaussian distribution for supercooled fluids and glasses, the distribution P 0 for plastically deformed crystals might be somewhat different. Since different spatial regions of an equilibrium crystal that has been cracked, etc. Thus, P 0 may be a sum of delta-functions characterizing the different finite volume patches that emulate the finite equilibrium crystal.

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