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Collisional Relaxation and Dynamical Scaling in Multiparticle Collisions Dynamics

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Stochastic Dynamics Out of Equilibrium (IHPStochDyn 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 282))

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Abstract

We present the Multi-Particle-Collision (MPC) dynamics approach to simulate properties of low-dimensional systems. In particular, we illustrate the method for a simple model: a one-dimensional gas of point particles interacting through stochastic collisions and admitting three conservation laws (density, momentum and energy). Motivated from problems in fusion plasma physics, we consider an energy-dependent collision rate that accounts for the lower collisionality of high-energy particles. We study two problems: (i) the collisional relaxation to equilibrium starting from an off-equilibrium state and (ii) the anomalous dynamical scaling of equilibrium time-dependent correlation functions. For problem (i), we demonstrate the existence of long-lived population of suprathermal particles that propagate ballistically over a quasi-thermalized background. For (ii) we compare simulations with the predictions of nonlinear fluctuating hydrodynamics for the structure factors of density fluctuations. Scaling analysis confirms the prediction that such model belong to the Kardar-Parisi-Zhang universality class.

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Acknowledgements

This work has been carried out within the framework of the EUROfusion Consortium and has received funding from the Euratom research and training program 2014–2018 under grant agreement No 633053 for the project WP17-ENR- CEA-01 ESKAPE. The views and opinions expressed herein do not necessarily reflect those of the European Commission.

Author information

Authors and Affiliations

  1. Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, via Madonna del piano 10, 50019, Sesto Fiorentino, Italy

    Stefano Lepri & Roberto Livi

  2. Consiglio Nazionale delle Ricerche, Istituto di Fisica Applicata “Nello Carrara”, via Madonna del piano 10, 50019, Sesto Fiorentino, Italy

    Pierfrancesco Di Cintio

  3. CEA, IRFM, 13108, Saint-Paul-lez-Durance, France

    Hugo Bufferand, Guido Ciraolo & Philippe Ghendrih

  4. Dipartimento di Fisica e Astronomia and CSDC, Universitá di Firenze, via G. Sansone 1, 50019, Sesto Fiorentino, Italy

    Roberto Livi

  5. Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, via G. Sansone 1, 50019, Sesto Fiorentino, Italy

    Stefano Lepri, Pierfrancesco Di Cintio & Roberto Livi

Authors
  1. Stefano Lepri
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  2. Hugo Bufferand
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  3. Guido Ciraolo
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  4. Pierfrancesco Di Cintio
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  5. Philippe Ghendrih
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  6. Roberto Livi
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Corresponding author

Correspondence to Stefano Lepri .

Editor information

Editors and Affiliations

  1. Laboratoire de Probabilités, Statistiques et Modélisation (UMR 8001), Université Paris Diderot, Paris, France

    Giambattista Giacomin

  2. CEREMADE, CNRS UMR 7534, Université Paris Dauphine - PSL, Paris, France

    Stefano Olla

  3. CNRS UMR 8145, MAP5, Université Paris Descartes, Paris, France

    Ellen Saada

  4. Zentrum Mathematik, Technische Universität München, Garching, Bayern, Germany

    Herbert Spohn

  5. CERMICS, Ecole des Ponts, Marne-La-Vallée, France

    Gabriel Stoltz

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Lepri, S., Bufferand, H., Ciraolo, G., Di Cintio, P., Ghendrih, P., Livi, R. (2019). Collisional Relaxation and Dynamical Scaling in Multiparticle Collisions Dynamics. In: Giacomin, G., Olla, S., Saada, E., Spohn, H., Stoltz, G. (eds) Stochastic Dynamics Out of Equilibrium. IHPStochDyn 2017. Springer Proceedings in Mathematics & Statistics, vol 282. Springer, Cham. https://doi.org/10.1007/978-3-030-15096-9_10

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