Details

Statistical Mechanics of Classical and Disordered Systems


Statistical Mechanics of Classical and Disordered Systems

Luminy, France, August 2018
Springer Proceedings in Mathematics & Statistics, Band 293

von: Véronique Gayrard, Louis-Pierre Arguin, Nicola Kistler, Irina Kourkova

96,29 €

Verlag: Springer
Format: PDF
Veröffentl.: 15.09.2019
ISBN/EAN: 9783030290771
Sprache: englisch

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Beschreibungen

<p></p><p>These proceedings of the conference <i>Advances in Statistical Mechanics</i>, held in Marseille, France, August 2018,&nbsp;focus on fundamental issues of&nbsp;equilibrium and non-equilibrium dynamics for classical&nbsp;mechanical systems, as well as&nbsp;on open problems in statistical mechanics related to probability, mathematical physics, computer science,&nbsp;and biology.&nbsp;</p>

<p>Statistical mechanics, as envisioned more than a century ago by&nbsp;Boltzmann,&nbsp;Maxwell&nbsp;and Gibbs, has recently&nbsp;undergone&nbsp;stunning twists and developments which have&nbsp;turned this old discipline&nbsp;into one of&nbsp;the most&nbsp;active&nbsp;areas of truly interdisciplinary and cutting-edge research.&nbsp;</p>

<p>The contributions to this&nbsp;volume, with their&nbsp;rather&nbsp;unique&nbsp;blend of&nbsp;rigorous mathematics and applications,&nbsp;outline&nbsp;the state-of-the-art of this success story&nbsp;in key subject areas of equilibrium and non-equilibrium classical and quantum statistical mechanics of both disordered and non-disordered systems.</p><p> </p><p>Aimed at researchers in the broad field of applied modern probability theory, this book, and in particular the review articles, will also be of interest to graduate students looking for a gentle introduction to active topics of current research.</p><br> <p></p>
<p>Preface.- <b>1. Ordered Systems</b><i>:1.1.Jahnel Benedikt, Sascha Kissel,&nbsp;Christof Külske, Utkir Roziko</i>, Gibbs - non Gibbs transitions in different geometries: the Widom-Rowlinson model under stochastic spin-flip dynamics.-<i> 1.2.Aernout van Enter</i>, One-sided versus two-sided stochastic descriptions.- <b>2. Disordered Systems</b>: 2.1.<i>Louis-Pierre Arguin&nbsp;and Roberto Persechino</i>, The free energy of the GREM with random magnetic field.- 2.2.<i>Erwin Bolthausen</i>, A Morita type proof of the replica-symmetric formula for SK.- 2.3&nbsp;<i>Jiri Cerny</i>, Concentration of the clock process normalisation for the Metropolis dynamics of the REM.- 2.4.&nbsp;<i>Véronique Gayrard&nbsp;and Lisa Hartung</i>, Dynamic phase diagram of the REM.- 2.5.&nbsp;<i>Francesco Guerra</i>.&nbsp;The replica trick in the frame of replica Interpolation.- 2.6&nbsp;<i>Goetz Kersting,&nbsp;</i><i>Nicola Kistler, Adrien Schertzer, Marius A. Schmidt,</i>&nbsp;From Parisi to Boltzmann.- 2.7.&nbsp;<i>Lily Z. Wang, Reza Gheissari,&nbsp;Charles M. Newman, Daniel L. Stein</i>, Nature vs. Nurture:dynamical evolution in disordered Ising ferromagnets.-&nbsp;<b>3. Miscellaneous</b><i>: 3.1.Pietro Caputo,&nbsp;Dmitry Ioffe, Vitali Wachtel,</i>&nbsp;Tightness and line ensembles for Brownianpolymers under geometric area tilts.-<i> 3.2.Alessandra Faggionato</i>, Large deviations and uncertainty relations in periodically driven Markov chains.</p><p></p>
These proceedings of the conference <i>Advances in Statistical Mechanics</i>, held in Marseille, France, August 2018,&nbsp;focus on fundamental issues of&nbsp;equilibrium and non-equilibrium dynamics for classical&nbsp;mechanical systems, as well as&nbsp;on open problems in statistical mechanics related to probability, mathematical physics, computer science,&nbsp;and biology.&nbsp;<p></p>

<p>Statistical mechanics, as envisioned more than a century ago by&nbsp;Boltzmann,&nbsp;Maxwell&nbsp;and Gibbs, has recently&nbsp;undergone&nbsp;stunning twists and developments which have&nbsp;turned this old discipline&nbsp;into one of&nbsp;the most&nbsp;active&nbsp;areas of truly interdisciplinary and cutting-edge research.&nbsp;</p>

<p>The contributions to this&nbsp;volume, with their&nbsp;rather&nbsp;unique&nbsp;blend of&nbsp;rigorous mathematics and applications,&nbsp;outline&nbsp;the state-of-the-art of this success story&nbsp;in key subject areas of equilibrium and non-equilibrium classicaland quantum statistical mechanics of both disordered and non-disordered systems.</p><p>Aimed at researchers in the broad field of applied modern probability theory, this book, and in particular the review articles, will also be of interest to graduate students looking for a gentle introduction to active topics of current research.<br></p><div><br></div>
Includes novel contributions pertaining to the field of statistical mechanics at large as well as its applications in probability, physics, computer science and biology Reviews the current state of research in key areas of the statistical mechanics of disordered and non-disordered systems Features articles by leading researchers in the field

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