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PARTICIPANTS Patrick Ahlrichs Max Planck Inst. f. Polymer Res. Ackermannweg 10 D-55128 Mainz GERMANY Reka Albert Department of Physics 225 Nieuwland Science Hall University of Notre Dame Notre Dame, IN 46556 U.S.A Ana Aparicio Munera Avda. deI Padre Piquer, 35 4 B 28024 Madrid SPAIN Toshihico Arimitsu Institute of Physics University of Tsukuba Ibaraki 305-8571 JAPAN N aoko Arimitsu Div. of Elect. and Computer Eng. Yokohama National University 79-5, Tokiwadai Hodogaya-ku Yokohama 240-8501 JAPAN Birgir Orn Arnarson Dept. of Th. and Appl. Mech. Cornell University 212 Kimball Hall Ithaca, NY 14853 U.S.A. Ophir M. Auslaender Dept. of Cond. Matter Physics Weizmann Institute of Science Rehovot 76100 ISRAEL Peter BaHnt Renyi Mathematical Institute of the Hungarian Academy of Sciences P.O.B. 127 H-1364, Budapest HUNGARY EH Barkai Dept. of Chem. and Center for Mat. Sci. and Eng. Massachusetts Inst. of Tech. 77 Massachusetts Ave. Cambridge, MA 02139 U.S.A. Henry van den Bedem William E. Wecker Assoc., Inc. 505 San Marin Drive B200 Novato, CA 94945 U.S.A. Henk van Beijeren Institute for Th. Physics Utrecht University Princetonplein 5 3584 CC Utrecht THE NETHERLANDS Dietrich Belitz Department of Physics University of Oregon Eugene, OR 97403-1274 U.S.A 503

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Page 1: E.978-94-011-4365-3/1.pdf · Dipartimento di Maternatica Politecnico di Milano Piazza Leonardo da Vinci 32 20133 Milano ITALY Ramon Garcia Rojo Facultad de Fisica 505 Depto. de Fisica,

PARTICIPANTS

Patrick Ahlrichs Max Planck Inst. f. Polymer Res. Ackermannweg 10 D-55128 Mainz GERMANY

Reka Albert Department of Physics 225 Nieuwland Science Hall University of Notre Dame Notre Dame, IN 46556 U.S.A

Ana Aparicio Munera A vda. deI Padre Piquer, 35 4 B 28024 Madrid SPAIN

Toshihico Arimitsu Institute of Physics University of Tsukuba Ibaraki 305-8571 JAPAN

N aoko Arimitsu Div. of Elect. and Computer Eng. Yokohama National University 79-5, Tokiwadai Hodogaya-ku Yokohama 240-8501 JAPAN

Birgir Orn Arnarson Dept. of Th. and Appl. Mech. Cornell University 212 Kimball Hall Ithaca, NY 14853 U.S.A.

Ophir M. Auslaender Dept. of Cond. Matter Physics Weizmann Institute of Science Rehovot 76100 ISRAEL

Peter BaHnt Renyi Mathematical Institute of the Hungarian Academy of Sciences P.O.B. 127 H-1364, Budapest HUNGARY

EH Barkai Dept. of Chem. and Center for Mat. Sci. and Eng. Massachusetts Inst. of Tech. 77 Massachusetts Ave. Cambridge, MA 02139 U.S.A.

Henry van den Bedem William E. Wecker Assoc., Inc. 505 San Marin Drive B200 Novato, CA 94945 U.S.A.

Henk van Beijeren Institute for Th. Physics Utrecht University Princetonplein 5 3584 CC Utrecht THE NETHERLANDS

Dietrich Belitz Department of Physics University of Oregon Eugene, OR 97403-1274 U.S.A

503

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504

Michiel J. Bijlsma Institute for Th. Physics Utrecht University Princetonplein 5 3584 CC Utrecht THE NETHERLANDS

Chris Bizon Colorado Research Associates 3380 Mitchell Lane Boulder, CO 80301 U.S.A.

Lyderic Bocquet Laboratoire de Physique, ENS Lyon 46, Allee d'Italie F -69364 Lyon Cedex 07 FRANCE

Arkadiusz Branka Institute of Molecular Physics Polish Academy of Sciences Ul. Smoluchowskiego 17 60-179 Poznan POLAND

J. Javier Brey Fisica Teorica, Facultad de Fisica Apdo Correos 1065 Sector Sur E-41080 Sevilla SPAIN

Manuel Osvaldos Caceres Centro Atomico Bariloche 8400, Bariloche ARGENTINA

Nikolai Chernov Department of Mathematics U. of AlabamajBirmingham Campbell Hall 492A Birmingham, AL 35294-1170 U.S.A

Bogdan Cichocki Institute of Theoretical Physics University of Warsaw ul. Hoza 69 PL-00-681 Warsawa POLAND

Piero Cipriani C.S.S. Via E.Nardi, 14-16 02047 Poggio Mirteto (RI) ITALY

E.G.D. Cohen Center for the Studies in Physics and Biology The Rockefeller University 1230 York Ave. New York, NY 10021 U.S.A

David Cubero Gomez Fisica Teorica U niversidadde Sevilla E-41080 Sevilla SPAIN

Carl Philip Dettmann The Rockefeller University 1230 York Ave. New York, NY 10021 U.S.A.

Jan K.G. Dhont Forschungszentrum J ülich IFF D-52425 J ülich GERMANY

Anjani Kumar Didwania Dept. of Mech. and Aerospace Eng. U. of California, San Diego La Jolla, CA 92093-0411 U.s.A.

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J. Robert Dorfman Department of Physics University of Maryland College Park, MD 20742 U.S.A

James W. Dufty Department of Physics University of Florida 215 Williamson Hall Gainesville, FL 32611-2085 U.S.A

Matthieu H. Ernst Instituut voor Th. Fysica Utrecht University Princetonplein 5 3584 CC Utrecht THE NETHERLANDS

B.Ubbo Felderhof Institut für Th. Physik RWTH Aachen Sommerfeldstrasse 26/28 D-52056 Aachen GERMANY

Vladimir Filinov FB Physik Universität Rostock Universitätplatz 3 D-18051 Rostock GERMANY

Boris Fine Department of Physics University of Illinois 1110 W. Green St. Urbana, IL 61801-3080 U.S.A.

Aldo Frezzotti Dipartimento di Maternatica Politecnico di Milano Piazza Leonardo da Vinci 32 20133 Milano ITALY

Ramon Garcia Rojo Facultad de Fisica

505

Depto. de Fisica, Atomica, Molecu­lar y N uclear - Area de Fisica Teorica P.O. Box 1065 E-41080 Sevilla SPAIN

Karl M. Garcia-Ruiz Dept. de Fisica Y Quimica Teorica Fac. De Quimica, UNAM Cd. Universitaria 04510 Mexico D.F. MEXICO

Pierre Gaspard Departement de Physique Universite Libre de Bruxelles Boulevard du Triomphe 1050 Bruxelles BELGIUM

Oleg I. Gerasimov Dept. of General Physics Odessa St. Hydrometeorologicallnst. Lvovskayastr. 15 Odessa 270016 UKRAINE

Thomas Gilbert L.P.T.M.C. Universite Paris 7 - Denis Diderot case 7020 PI. Jussieu 75251 Paris cedex 05 FRANCE

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506

Maksim Yu. Gladkov Institut für Theoretische Physik Universität Regensburg D-93040 Regensburg GERMANY

Mathijs J. V. Goldschmidt U niversiteit Twente Faculteit Chemische Technologie Postbus 217 7500 AE Enschede THE NETHERLANDS

Dmitri Grinev Polymers and Colloids Group Cavendish Laboratory University of Cambridge Madingley Road Cambridge CB3 OHE UNITED KINGDOM

Vadim L. Gurevich loffe Institute 26 Polytekhnicheskaya St. Petersburg 194021 RUSSIAN FEDERATION

Alex Hansen Department of Th. Physics University of Thondheim N-7034 Thondheim NORWAY

Jean-Pierre Hansen Department of Chemistry Cambridge University Lensfield Road Cambridge CB2 lEW UNITED KINGDOM

Eivind Hauge Department of Th. Physics University of Thondheim N-7034 Thondheim NORWAY

Martin van Hecke CATS/Niels Bohr Institute Blegdamsvej 17 2100 DK Copenhagen DENMARK

Heinz-Guenter Hermanns Institut für Th. Physik A RWTH Aachen Templergraben 55 52056 Aachen GERMANY

Jonathan M. Huntley Department of Mech. Eng. Loughborough University LEll 3TU Leicestershire UNITED KINGDOM

Martin Huthmann Institut für Theoretische Physik Universität Göttingen Bunsenstrasse 9 D-37073 Göttingen GERMANY

Marta Ibanes Facultat de Fisica, Dept. E.C.M. Universitat de Barcelona Diagonal 647 08028 Barcelona SPAIN

Alexander Iomin Dept. of Physics Technion Haifa 32000 ISRAEL

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Sudhir Jain School of Eng. and Appl. Sciences Aston University Aston Triangle Birmingham B4 7ET UNITED KINGDOM

Richard J.M. Janssen Particle Technology Delft U niversity of Technology Julianalaan 136 2628 BL Delft THE NETHERLANDS

J ames T. Jenkins Dept. of Th. and Appl. Mech. Cornell University 211 Kimball Hall Ithaca, NY 14853 U.S.A

Robert B. Jones Dept. of Physics Queen Mary and Westfield College Mile End Road London EI 4NS UNITED KING DOM

John Karkheck Department of Physics Marquette University P.O. Box 1881 Milwaukee, WI 53201-1881 U.S.A

Theodore Kirkpatrick Department of Physics University of Maryland College Park, MD 20742 U.S.A

Kazuo Kitahara Dept. of Applied Physics Tokyo Institute of Technology Ookayama 2-12-1, Meguro-ku Tokyo 152-8550 JAPAN

Ulrich Krebs

507

Institut f. Theoretische Physik A RWTH Aachen D-52056 Aachen GERMANY

Herman Kruis Instituut Lorentz for Th. Physics Universiteit Leiden P.O. Box 9506 2300 RA Leiden THE NETHERLANDS

V. Kumaran Dept. of Chemical Engineering Indian Institute of Science Bangalore 560 012 INDIA

Anthony J.C. Ladd Dept. of Chem. Eng., Rm 227 P.O. Box 116005 University of Florida Gainesville, FL 32611-6005 U.S.A

Arnulf Latz Institut für Physik Johannes Gutenberg Universität Staudinger Weg 7 55099 Mainz GERMANY

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508

Colin Marsh The Technology Partnership Melbourn Science Park Melbourn, Royston Herts. SG8 6EE UNITED KINGDOM

Gerardo Martinez Instituto de Fisica, UFRGS Univ. Federal do Rio Grande do Sul Campus do Vale, Caixa Postal15051 CEP 91501-970, Porto Alegre - RS BRAZIL

Sean McNamara CECAM ENS-Lyon 46 allee d 'Italie 69364 Lyon Cedex 07 FRANCE

Ljubomir Milanovic Institute for Experimental Physics University of Vienna Boltzmanngasse 5 A-1090 Vienna AUSTRlA

Kunimasa Miyazaki Department of Physical Chemistry Nat. Inst. of Mat. and Chem. Res. Tsukuba, Ibaraki 305-8565 JAPAN

Francisco Moreno Franeo Fisica Teorica Facultad de Fisica Aptado 1065 41080 Sevilla SPAIN

Magamed Muradov Politechnicheskaya 26 A.F. loffe Institute 194021 St. Petersburg RUSSIA

Ihor Mryglod Institute for Cond. Matter Physics 1 Svientsitskii St. UA-79011 Lviv UKRAINE

Peter M ueller Institut für Theoretische Physik Georg-August Universität D-37073 Göttingen GERMANY

Amador Muriel Centre for Fl. Dyn. (World Lab) U. of the Philippines at Los Banos College, Laguna 4051 PHILIPPINES

Rajesh N arayanan Department of Theoretical Physics University of Oxford Keble Road Oxford OXI 3NP UNITED KINGDOM

Th.M. Nieuwenhuizen Van der Waals-Zeeman Instituut Valckenierstraat 65 1018 XE Amsterdam THE NETHERLANDS

T.P.C. van Noije Fluid Flow and Thermo., OGBE/6 Shell Global Solutions Shell Res. and Tech. Ctr. P.O. Box 38000 1030 BN Amsterdam THE NETHERLANDS

Page 7: E.978-94-011-4365-3/1.pdf · Dipartimento di Maternatica Politecnico di Milano Piazza Leonardo da Vinci 32 20133 Milano ITALY Ramon Garcia Rojo Facultad de Fisica 505 Depto. de Fisica,

Riza Ogul Department of Physies Selcuk University 42079 Konya TURKEY

Seung-Hoon Oh Dept. of Chemical Engineering University of Florida Gainesville, FI 32611-6005 U.S.A

Tsuneyasu Okabe U. of Waikato Language Institute P.O. Box 1317 Waikato Mail Centre Hamilton NEW ZEALAND

Ignacio Pagonabarraga Dept. of Physics and Astronomy The University of Edinburgh Edinburgh EH9 3JZ UNITED KING DOM

Debabrata Panja Inst. for Physical Sei. and Teeh. University of Maryland College Park, MD 20742 U.S.A

Ramon PeraIta-Fabi Departamento de Fisica Faeultad de Ciencias, UNAM 04510 Mexico DF MEXICO

Jarosiaw Piasecki Institute of Theoretical Physics University of Warsaw ul. Hoza 69 PL-00-681 Warsawa POLAND

Thorsten Poeschel Humboldt Universität zu Berlin Institut für Physik Invalidenstrasse 110 D-10115 Berlin GERMANY

Harald Posch Institut für Experimentalphysik Universität Wien Strudlhofgasse 4 A-1090 Wien AUSTRIA

Rosa Ramirez Martinez

509

Centre Europeen de Caleul At. et Moleeulaire (CECAM) Eeole Normale Superieure 46, Allee d'Italie 69007 Lyon FRANCE

Raul Rechtman Centro de Investigacion en Energia UNAM Apdo. Post al 34 Temixeo, Morelos 62580 MEXICO

Vaieria Ricci ENS-Caehan CMLA 61, Avenue du President Wilson 94235 Caehan Cedex FRANCE

Howard L. Richards Department of Physics University of Maryland College Park, MD 20742-4111 U.S.A.

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510

Marisol Ripoll Hernando Depto. de Fisica Fundamental Facultad de Cieneias UNED C / Senda deI Rey 9 28040 Madrid SPAIN

Maria J. Ruiz-Montero Fisica Teorica Facultad de Fisica Apartado de Correos 1065 41080 Sevilla SPAIN

Marton Sasvari Dept. of Theoretical Physics Institute of Physics Budapest U. of Tech. and Economics Budafoki ut 8. H-llll HUNGARY

Ignatz M. de Schepper IRI, Delft University of Technology Julianalaan 134 postbus 5 2600 AA Delft THE NETHERLANDS

Andrew V. Sergeev Department of Physics Universität Regensburg Universitätstr. 31 D-93035 Regensburg GERMANY

Yakov Sinai Department of Mathematics Princeton University 708 Fine Hall Princeton, N J 08544 U.S.A

Vyacheslav M. Somsikov Institute of Ionosphere 480020 Almaty KAZAKSTAN

Dominique Spehner Universidad Catolica Facultad de Fisica Vicuna Mackenna 4860, San Joaquim Casilla 306, Santiago 22 CHILE

Vaclav Spicka Institute of Physics Acad. of Sei. of the Czech Repub. Cukrovarnicka 10 162 53 Prague 6 CZECH REPUBLIC

Henk T.C. Stoof Instituut voor Th. Fysica Utrecht University Princetonplein 5 3584 CC U trecht THE NETHERLANDS

Xin Sun Physics Department Fudan University Shanghai 200433 CHINA

Harry L. Swinney Department of Physics University of Texas, Austin Austin, TX 78712 U.S.A.

Piotr Szymczak Institute of Theoretical Physics Faculty of Physics, Warsaw U. Hoza 69 00-681 Warsawa POLAND

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Shuichi Tasaki Department of Applied Physics School of Science and Engineering Waseda U niversity 3-4-1- Okubo, Tokyo 169-8555 JAPAN

Roumen Tsekov Dept. of Physical Chemistry University of Sofia 1126 Sofia BULGARIA

Rolf Verberg Dept. of Chemical Engineering University of Florida Gainesville, FL 32611 U.S.A.

Jun'ichi Wakou Instituut voor Th. Fysica Universiteit Utrecht Postbus 80006 3508 TA Utrecht THE NETHERLANDS

Ricky Wild man Dept. of Mechanical Engineering Loughborough University Loughborough Leicestershire LEII 3TU UNITED KINGDOM

Ramses van Zon Theoretical Chemical Physics Department of Chemistry Lash Miller Chemical Laboratories 80 St. George St. University of Toronto Toronto, Ontario, M5S 3H6 CANADA

511

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INDEX

adiabatic piston, 192 algorithmic approach, 298 approach to equilibrium, 133, 139,

225,401 avalanche, 298, 338

ballistic transport, 458, 469 BBGKY hierarchy, 252, 258, 473

quantum, 476, 477 Bloch equations, 476, 483 Boltzmann equation, 225, 253, 260,

291, 345, 380, 466, 474, 496

quantum, 388, 498 Boltzmann, Ludwig, 223 Bose-Einstein condensation, 492 Bose-Einstein distribution function,

496 boundary conditions, 8, 21, 25, 32,

146, 217, 256, 279, 313, 317, 343, 464

Brownian motion, 2, 31, 65, 82, 227,444

Brownian particle, 3, 9, 31, 40, 66, 180

coherent dynamics, 474 coherent states, 493 collective modes, 44, 69, 491, 500 collision operator, 10, 18, 68, 161,

234, 255, 257, 258, 260, 345, 349, 388, 435, 475, 482

colloidal dispersion, 1, 65 colloidal suspension, 20, 40, 65 colloids, 65, 73

513

computer simulation, 10, 171, 233 condensate formation, 491, 497 conjugate pairing, 161, 173, 218 conservation law, 20, 233, 347, 384,

475,481 contact law, 308

Hertz, 307 Hertz-Kuwabara-Kono, 308

continuum theory, 10, 313, 361 convergence to equilibrium, 194 correlated collisions, 8, 9, 260, 267 correlations, 74, 156,240,287,349,

363,396 decay of, 203, 207, 212, 367,

401 Coulomb, 479, 480 quantum, 399, 478

critical dynamics, 400

de Broglie wavelength, 380, 463 thermal, 390, 443, 495

decay processes, 426, 437 decoherence, 450 density

condensate, 500 matrix, 428, 435, 475, 492 noncondensate, 500

diagrammatic techniques, 459 diffusion, 33, 40, 80, 145, 336, 442

coefficient, 67, 77, 102, 380, 426

spin, 414 constant, 2, 14, 66, 368 -controlled reactions, 37

disordered solid, 379 dispersing billiards, 201, 211

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514

dissipative collisions, 287,293, 313 dissipative dynamics, 240, 256, 290 dissipative system, 6, 202, 232, 297 driven steady states, 353 DSMC method, 245, 344 dynamical randomness, 447

Ehrenfest, Paul, 375 elastic collisions, 8, 191, 292, 369,

483 electron dynamics, 384, 473 electron-phonon

coupling, 461 dynamics, 475 interaction, 459, 462, 465, 476 scattering, 458

ensemble, 9, 41, 192, 228, 381, 411, 428

Enskog theory, 10, 68, 242, 261, 358

entropy, 224, 226 Alicki-Fannes, 450 Connes-N arnhofer-Thirring, 449 Kolmogorov-Sinai, 143, 160, 177,

425,448 quantum, 449, 454

evaporative cooling, 497 extreme statistics, 302

Fermi's Golden Rule, 496 Feshbach projection-operator method,

445 Feynman path, 392

integral, 427, 451 finite-time singularity, 268, 305, 363 fluctuation-dissipation theorem, 497 fluid friction, 285 Fokker-Planck equation, 5, 13,494,

497 force autocorrelation function, 4 fractal distribution, 187 fractal repeller, 164, 169, 425, 441 friction tensor, 10

Frobenius-Perron, 139, 203, 433 front propagation, 152

gas , 225 atomic,491 hard-sphere,131,147,260,345 Lorentz, 170, 211, 213, 290,

419,442 quantum, 381, 390, 422

granular flow, 239, 250, 279, 301, 325, 334, 362

rapid, 314, 343, 361 granular fluid, 240, 343, 346 granular gas, 350, 362 granular material, 267, 314, 325,

362 granular media, 297, 361 granular temperature, 280, 294, 314,

334,363 Green's function, 395, 459

advanced, 386 Keldysh, 459 nonequilibrium, 487 retarded, 385

Gutzwiller trace formula, 426, 430

hard spheres, 8, 40, 68, 241, 343 Hartree-Fock approximation, 479,

500 Hausdorff dimension, 440 high speed photography, 331 homogeneous cooling state (HCS),

242, 250, 275, 346, 350, 370

hydraulic theory, 322 hydrodynamic interactions, 21, 32,

47, 66, 100 hydrodynamics, 13, 231, 246 hyperbolic maps, 203 hyperbolic systems, 136, 144, 201,

207

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inelastic collapse, 267, 273, 276, 305, 362

inelastic hard spheres, 241, 255, 343, 349

irreversibilty, 225

kinetic equation, 251, 280, 350,477, 482, 492

kinetic models, 344 kinetic theory, 40, 69, 131, 227,

313, 344, 362, 375, 379, 457, 473, 492

ladder approximation, 497 Landau free energy, 407, 499 Langevin equation, 4, 13, 181, 496 laser, 474 Lattice-Boltzmann equation, 17 lifetime, 438, 474, 495 linear response, 337, 458 Liouville (Liouvillian) operator, 3,

8 quantum, 428

Lorentz gas , 170, 211, 213, 290, 419, 442

quantum, 381, 390, 422 Lyapunov exponents, 135, 147, 170,

204,217,218,232,425 Lyapunov spectrum, 170, 177, 218

magnetic resonance imaging, 326 Maw, Barber and Fawcett repre-

sentation, 308 MBF diagram, 308 mesoscopic systems, 451, 458 mode coupling, 40, 67 molecular dynamics, 10, 219, 362 multiple time scales, 3, 5, 7

nanostructures, 458 non-Markovian effects, 13 485, 486 nonequilibrium, 171, 202, 215, 231,

396, 459, 461, 467, 473, 500

515

statistical mechanics, 66, 138, 251,382

orientational relaxation, 31

particle suspensions, 25 pattern formation, 248, 250 periodic orbits, 430 plasma, 473, 483 polarization, 475, 478, 485

vector, 462 Pollicott-Ruelle resonance, 433, 434 positron emission particle track­

ing, 328 pressure function, 436, 440 propagator, 6, 427, 463

quantum entropy, 449, 454 histories, 450, 453 kinetics, 444 kinetic theory, 379, 492 magnets, 407 phase transitions, 399 statistics, 440, 477 wire, 458

rapid granular flow, 241, 314, 343, 361

Redfield master equation, 447 regime

grain-inertia, 301 jumping, 300 retardation, 300, 302 rolling, 300, 302

relaxation, 19, 77, 453 time, 2, 4, 20, 66, 346, 385,

445 repeller, 146, 436, 441 reservoir, 458, 495 restitution coefficient, 267, 276, 287,

305, 314, 335, 345, 362 normal, 242, 255, 303, 305

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516

tangential, 255, 303, 308 reversibility, 225

sand grains, 297 scaling, 20, 58, 90, 99, 193, 263,

334, 364, 395, 402, 405, 417, 501

scatterer, 293, 419 scattering, 290, 474

length, 384, 500 resonance, 438 theory, 437, 459

Schrödinger equation, 427, 492 nonlinear , 500 nonMarkovian stochastic, 444,

450 screening, 421, 475 second law, 187, 224, 226 self-diffusion, 4, 42, 336 self-energy, 385

advanced, 495 Keldysh, 496 retarded, 495

self-organized criticality, 298 semic1assical quantization, 427 semiconductors, 421, 474 Shannon-McMillan-Breiman theo-

rem, 448 shear flow, 100, 315, 353 Sinai-Ruelle-Bowen (SRB) measure,

202,232 singularities, 201, 207, 390, 437 size segregation, 331, 338 slippage of initial conditions, 447 Smoluchowski (Smoluchovski)

equation, 5, 32, 45, 66, 81, 91 operator, 42, 66

solid friction, 283 spatial correlations, 240, 349, 396,

401,415 spectral randomness, 443 spectral statistics, 453

spin-boson model, 447 spinodal decomposition, 73, 100,

104,251 stationary state, 176, 198, 217, 232,

279,287 stochasticity, 448, 453 Stokes' law, 2, 46 suspensions, 2, 28, 32, 40, 65, 100

teaching, 375 thermalization, 14, 294, 427 trace formula, 430, 432, 452 transport coefficients, 41, 145,215,

232,391

Uehling-Uhlenbeck equation, 380, 498

Uhlenbeck, George, 225, 375 unimolecular reaction, 441

Valance-Bideau model, 303 velo city autocorrelation function,

4 velocity correlations, 362, 365 vibro-fluidization, 333 viscoelastic spheres, 240, 247 viscosity, 2, 22, 40, 216, 218, 233 Vlasov-Landau equation, 500

Walton model, 309 weak localization, 392 Wigller distribution, 500 Wigner transform, 429, 432

zeta function, 432, 434, 436