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Stochastic Dynamics Out of Equilibrium

Institut Henri Poincaré, Paris, France, 2017

  • Conference proceedings
  • © 2019

Overview

Editors:
  1. Giambattista Giacomin

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

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  2. Stefano Olla

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

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  3. Ellen Saada

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

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  4. Herbert Spohn

    1. Zentrum Mathematik, Technische Universität München, Garching, Germany

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  5. Gabriel Stoltz

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

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  • Very active topic at the intersection of several scientific fields (mathematics, numerics, physics)
  • Pedagogical introductory lectures at an accessible level
  • Mix of recent cutting edge contributions of various origins and tones

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

Included in the following conference series:

Conference proceedings info: IHPStochDyn 2017.

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Table of contents (25 papers)

  1. Front Matter

    Pages i-xi
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  2. Mini-courses of the Pre-school at CIRM

    1. Front Matter

      Pages 1-1
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    2. Stochastic Mean-Field Dynamics and Applications to Life Sciences

      • Paolo Dai Pra
      Pages 3-27

    3. Alignment of Self-propelled Rigid Bodies: From Particle Systems to Macroscopic Equations

      • Pierre Degond, Amic Frouvelle, Sara Merino-Aceituno, Ariane Trescases
      Pages 28-66

    4. Fluctuations in Stochastic Interacting Particle Systems

      • Gunter M. Schütz
      Pages 67-134

  3. Mini-courses at IHP

    1. Front Matter

      Pages 135-135
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    2. Hydrodynamics for Symmetric Exclusion in Contact with Reservoirs

      • Patrícia Gonçalves
      Pages 137-205

    3. Stochastic Solutions to Hamilton-Jacobi Equations

      • Fraydoun Rezakhanlou
      Pages 206-238

  4. Workshop 1: Numerical Aspects of Nonequilibrium Dynamics

    1. Front Matter

      Pages 239-239
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    2. On Optimal Decay Estimates for ODEs and PDEs with Modal Decomposition

      • Franz Achleitner, Anton Arnold, Beatrice Signorello
      Pages 241-264

    3. Adaptive Importance Sampling with Forward-Backward Stochastic Differential Equations

      • Omar Kebiri, Lara Neureither, Carsten Hartmann
      Pages 265-281

    4. Ergodic Properties of Quasi-Markovian Generalized Langevin Equations with Configuration Dependent Noise and Non-conservative Force

      • Benedict Leimkuhler, Matthias Sachs
      Pages 282-330

    5. Exit Event from a Metastable State and Eyring-Kramers Law for the Overdamped Langevin Dynamics

      • Tony Lelièvre, Dorian Le Peutrec, Boris Nectoux
      Pages 331-363

    6. Collisional Relaxation and Dynamical Scaling in Multiparticle Collisions Dynamics

      • Stefano Lepri, Hugo Bufferand, Guido Ciraolo, Pierfrancesco Di Cintio, Philippe Ghendrih, Roberto Livi
      Pages 364-374

    7. A Short Introduction to Piecewise Deterministic Markov Samplers

      • Pierre Monmarché
      Pages 375-390

    8. Time Scales and Exponential Trend to Equilibrium: Gaussian Model Problems

      • Lara Neureither, Carsten Hartmann
      Pages 391-410

  5. Workshop 2: Life Sciences

    1. Front Matter

      Pages 411-411
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    2. Stochastic Models of Blood Vessel Growth

      • Luis L. Bonilla, Manuel Carretero, Filippo Terragni
      Pages 413-436

    3. Survival Under High Mutation

      • Rinaldo B. Schinazi
      Pages 437-442

    4. Particle Transport in a Confined Ratchet Driven by the Colored Noise

      • Yong Xu, Ruoxing Mei, Yongge Li, Jürgen Kurths
      Pages 443-456
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Other volumes

  1. Stochastic Dynamics Out of Equilibrium

Keywords

About this book

Stemming from the IHP trimester "Stochastic Dynamics Out of Equilibrium", this collection of contributions focuses on aspects of nonequilibrium dynamics and its ongoing developments.

It is common practice in statistical mechanics to use models of large interacting assemblies governed by stochastic dynamics. In this context "equilibrium" is understood as stochastically (time) reversible dynamics with respect to a prescribed Gibbs measure. Nonequilibrium dynamics correspond on the other hand to irreversible evolutions, where fluxes appear in physical systems, and steady-state measures are unknown.

The trimester, held at the Institut Henri Poincaré (IHP) in Paris from April to July 2017,  comprised various events relating to three domains (i) transport in non-equilibrium statistical mechanics; (ii) the design of more efficient simulation methods; (iii) life sciences. It brought together physicists, mathematicians from many domains, computer scientists, as well as researchers working at the interface between biology, physics and mathematics.

The present volume is indispensable reading for researchers and Ph.D. students working in such areas.




Editors and Affiliations

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

    Giambattista Giacomin

  • CEREMADE, CNRS UMR 7534, Université Paris Dauphine - PSL, Paris, France

    Stefano Olla

  • CNRS UMR 8145, MAP5, Université Paris Descartes, Paris, France

    Ellen Saada

  • Zentrum Mathematik, Technische Universität München, Garching, Germany

    Herbert Spohn

  • CERMICS, Ecole des Ponts, Marne-La-Vallée, France

    Gabriel Stoltz

Bibliographic Information

  • Book Title: Stochastic Dynamics Out of Equilibrium

  • Book Subtitle: Institut Henri Poincaré, Paris, France, 2017

  • Editors: Giambattista Giacomin, Stefano Olla, Ellen Saada, Herbert Spohn, Gabriel Stoltz

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-030-15096-9

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-15095-2Published: 01 July 2019

  • Softcover ISBN: 978-3-030-15098-3Published: 14 August 2020

  • eBook ISBN: 978-3-030-15096-9Published: 30 June 2019

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: XI, 649

  • Number of Illustrations: 212 b/w illustrations, 38 illustrations in colour

  • Topics: Probability Theory and Stochastic Processes, Partial Differential Equations

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