22-29 June 2013 Kazimierz Dolny, Poland

5th Warsaw Schoolof Statistical Physics

5th Warsaw

School of Statistical Physics22-29 June 2013

konferencja 5. roztrzelony indd.1 1konferencja 5. roztrzelony indd.1 1 2014-03-20 09:51:152014-03-20 09:51:15

5th Warsaw S hool of Statisti al Physi s

5th Warsaw S hool

of Statisti al Physi s

Kazimierz Dolny, Poland

22 � 29 June 2013

Editors

B. Ci ho ki, M. Napiórkowski and J. Piase ki

Organized by

the Institute of Theoreti al Physi s, University of Warsaw

and Pro Physi a Foundation

ISBN 978-83-235-1561-6

Foreword

Following the previous s hools, whi h have taken pla e in Kazimierz every two

years sin e 2005, the Institute of Theoreti al Physi s of the University of Warsaw

organized the 5th Warsaw S hool of Statisti al Physi s (June 22th to 29th, 2013).

The program of the s hool was essentially omposed of six ourses orresponding

to various areas of resear h in the �eld of statisti al physi s. Six distinguished

s ientists presented pedagogi al series of le tures bringing a lear explanation of

basi theoreti al ideas, and en ouraging further resear h. The le tures were at-

tended by PhD students, postgraduate resear hers, and also by more experien ed

s ientists interested in getting a quainted with a new �eld.

The present volume ontains the texts of the ourses. We are grateful to the

invited speakers for their willingness to make their le ture notes ready for pu-

bli ation. We do hope the volume will be useful not only to the parti ipants of

the s hool but also to all those interested in the urrent development of ideas in

statisti al physi s.

It is also a pleasure to a knowledge all those individuals and organizations

(listed overleaf) who ontributed to the su ess of the s hool.

S ienti� Organizing Committee:

Bogdan Ci ho ki

Marek Napiórkowski

Jarosªaw Piase ki

For further information about the S hools see:

http://www.fuw.edu.pl/∼wssph/

Sponsors

Fa ulty of Physi s, University of Warsaw

Ministry of S ien e and Higher Edu ation

Lo al Organizing Committee

Bogdan Ci ho ki - Chair

Paweª Jakub zyk - Se retary

Piotr Szym zak

Karol W�doªowski

Contents

1 Non-equilibrium Statisti al Me hani s of the Sto hasti

Navier�Stokes Equations and Geostrophi Turbulen e . . . . . . . . 3

Freddy Bou het, Cesare Nardini, and Tomás Tangarife

2 The Fiber Bundle Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69

Alex Hansen, Per C. Hemmer, and Strutarshi Pradhan

3 Dynami s of Charged-Parti les Dispersions . . . . . . . . . . . . . . . . . . . 83

Gerhard Nägele

4 Surfa e Tension: From Fundamental Prin iples to

Appli ations in Liquids and in Solids . . . . . . . . . . . . . . . . . . . . . . . . . 149Yves Pomeau

5 Playing with Marbles: Stru tural and Thermodynami

Properties of Hard-Sphere Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . 203Andrés Santos

6 Topi s in the Mathemati al Physi s of Cold Bose Gases . . . . . . 299Jakob Yngvason

Jan Boksz zanin Organ Con ert . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 345

Poster Abstra ts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 347

List of Parti ipants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 365