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Granular Lattice: Beyond Molecular Chaos

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Lattice Models for Fluctuating Hydrodynamics in Granular and Active Matter

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Abstract

The hydrodynamic behavior derived in Chap. 4 and numerically analyzed in Sect. 4.5 has been obtained through the Molecular Chaos ansatz (4.14), mathematically equivalent to the factorization of velocity correlations

$$\begin{aligned} \langle v_{l,p} v_{l',p} \rangle = \langle v_{l,p} \rangle \langle v_{l',p} \rangle . \end{aligned}$$

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Notes

  1. 1.

    Note that \(\tilde{T}_{0}(\sigma )\) remains undetermined at the lowest order.

References

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  7. G. Costantini, U.M.B. Marconi, A. Puglisi, Velocity fluctuations in a one-dimensional inelastic Maxwell model. J. Stat. Mech. Theory Exp. 2007(08), P08031 (2007). http://stacks.iop.org/1742-5468/2007/i=08/a=P08031, https://doi.org/10.1088/1742-5468/2007/08/P08031

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Authors and Affiliations

  1. Department of Physics, University of Sapienza, Rome, Italy

    Alessandro Manacorda

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  1. Alessandro Manacorda
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Correspondence to Alessandro Manacorda .

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Manacorda, A. (2018). Granular Lattice: Beyond Molecular Chaos. In: Lattice Models for Fluctuating Hydrodynamics in Granular and Active Matter. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-95080-8_5

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