Irreversible dynamics of a massive intruder in dense granular fluids

Sarracino, Alessandro; Villamaina, Dario; Gradenigo, Giacomo; Puglisi, Andrea

doi:10.1209/0295-5075/92/34001

Cited by 74 publications

(90 citation statements)

References 33 publications

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“…It is remarkable that series of papers by Puglisi and his coworkers [22][23][24][25] clarified that granular fluids do not hold the conventional fluctuation theorem but have only the second type fluctuation theorem by Evans and Searles [26]. We note that Chong et al have proven the existence of both the generalized Green-Kubo relation and the integral fluctuation theorem [12,27] for a granular system under a steady plane shear [28].…”

Section: Introductionmentioning

confidence: 82%

Nonequilibrium identities and response theory for dissipative particles

Hayakawa

Otsuki

2013

Phys. Rev. E

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We derive some nonequilibrium identities such as the integral fluctuation theorem and the Jarzynski equality starting from a nonequilibrium state for dissipative classical systems. Thanks to the existence of the integral fluctuation theorem we can naturally introduce an entropy-like quantity for dissipative classical systems in far from equilibrium states. We also derive the generalized GreenKubo formula as a nonlinear response theory for a steady dynamics around a nonequilibrium state. We numerically verify the validity of the derived formulas for sheared frictionless granular particles.

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Section: Introductionmentioning

confidence: 82%

Nonequilibrium identities and response theory for dissipative particles

Hayakawa

Otsuki

2013

Phys. Rev. E

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“…, expected for diffusion in diluted gases at temperature T with a collision frequency ∝ γ [23]. Here T is the probe's "kinetic temperature" T = I ω 2 .…”

mentioning

confidence: 99%

Cages and Anomalous Diffusion in Vibrated Dense Granular Media

et al. 2015

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A vertically shaken granular medium hosts a blade rotating around a fixed vertical axis, which acts as a mesorheological probe. At high densities, independently from the shaking intensity, the blade's dynamics show strong caging effects, marked by transient sub-diffusion and a maximum in the velocity power density spectrum (vpds), at a resonant frequency ∼ 10 Hz. Interpreting the data through a diffusing harmonic cage model allows us to retrieve the elastic constant of the granular medium and its collective diffusion coefficient. For high frequencies f , a tail ∼ 1/f in the vpds reveals non-trivial correlations in the intra-cage micro-dynamics. At very long times (larger than 10 s), a super-diffusive behavior emerges, ballistic in the most extreme cases. Consistently, the distribution of slow velocity inversion times τ displays a power-law decay, likely due to persistent collective fluctuations of the host medium.

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“…In granular systems, deviations from the white noise assumption are expected [5], but in the dilute case they are in general quite small (this is different in stationary dense systems, e.g. [32,36,34]). The most evident consequence of inelasticity is, instead, the variation of the dimensionless coefficient c in Eq.…”

Section: The Homogeneous Cooling and Its Stationary Representationmentioning

confidence: 97%

“…The fluctuations obey, instead, a generalized Langevin equation where the noise has a variance which does not satisfy the FDR [14,3], and, in addition, is slightly colored. Note that the failure of FDR has also been observed in driven granular gases, but only at large packing fractions [32,36,34], while it is usually satisfied in the dilute case [31,1,33]. The theory in [5] makes use of the projection operator formalism and descends from a series of hypothesis, mainly the validity of Molecular Chaos and the Liouville equation for free particles undergoing hard core binary instantaneous collisions.…”

Section: Introductionmentioning

confidence: 99%

Role of Molecular Chaos in Granular Fluctuating Hydrodynamics

Costantini

Puglisi

2011

Math. Model. Nat. Phenom.

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Abstract. We perform a numerical study of the fluctuations of the rescaled hydrodynamic transverse velocity field during the cooling state of a homogeneous granular gas. We are interested in the role of Molecular Chaos for the amplitude of the hydrodynamic noise and its relaxation in time. For this purpose we compare the results of Molecular Dynamics (MD, deterministic dynamics) with those from Direct Simulation Monte Carlo (DSMC, random process), where Molecular Chaos can be directly controlled. It is seen that the large time decay of the fluctuation's autocorrelation is always dictated by the viscosity coefficient predicted by granular hydrodynamics, independently of the numerical scheme (MD or DSMC). On the other side, the noise amplitude in Molecular Dynamics, which is known to violate the equilibrium Fluctuation-Dissipation relation, is not always accurately reproduced in a DSMC scheme. The agreement between the two models improves if the probability of recollision (controlling Molecular Chaos) is reduced by increasing the number of virtual particles per cells in the DSMC. This result suggests that DSMC is not necessarily more efficient than MD, if the real number of particles is small (∼ 10 3 ± 10 4 ) and if one is interested in accurately reproduce fluctuations. An open question remains about the small-times behavior of the autocorrelation function in the DSMC, which in MD and in kinetic theory predictions is not a straight exponential.

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Irreversible dynamics of a massive intruder in dense granular fluids

Cited by 74 publications

References 33 publications

Nonequilibrium identities and response theory for dissipative particles

Nonequilibrium identities and response theory for dissipative particles

Cages and Anomalous Diffusion in Vibrated Dense Granular Media

Role of Molecular Chaos in Granular Fluctuating Hydrodynamics

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