23966k - Instituto Carlos I - Universidad de Granada

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GRANADA SEMINAR STEERING COMMITTEE K. Binder, Institute of Physics of Condensed Matter, University of Mainz H. J. Herrmann, ICA1, University of Stuttgart J. L. Lebowitz, Department of Mathematics, Rutgers University, New Jersey R. de la Llave, Department of Mathematics, University of Texas, Austin M. Mareschal, Faculté des Sciences, Université Libre de Bruxelles J. F. Fernández, Institute for Materials Science, C.S.I.C. and University of Zaragoza P. L. Garrido, Institute "Carlos I" for Theoretical and Computational Physics, University of Granada H. J. Kappen, Department of Biophysics, University of Nijmegen J. Marro, Departamento de E. y Física de la Materia, University of Granada
Nonequilibrium Statistical Physics today. Where shall we go from here? This is an edited transcription, by Pedro L. Garrido, Joaquín Marro, and Francisco de los Santos, of the directly recorded sound during an open round table, the third day of the Seminar, which was chaired by Prof. Joel L. Lebowitz. 1 • Joel L. Lebowitz (JLL): This was supposed to be the last slide of my talk on Monday. . . It will serve here to say what I consider important open problems in understanding nonequilibrium phenomena. These, I think, are very central issues. . . though not the only ones. FIGURE 1. The slide from Lebowitz’s talk (not included in the book) which is often referred to within the discussions. (NESS stands for Nonequilibrium Steady States.) The first thing is the free energy for a nonequilibrium stationary state. Consider a system in contact with two reservoirs, one temperature on the left, and one temperature on the right, in a stationary state. Question: is there a reasonable definition of free energy for such an open nonequilibrium system? In my talk I was saying that if you start a state, 1 The speakers had a chance to swiftly revise the text. The fresh, informal way of talking during the discussions, and some eventual references made to the blackboard there have been kept whenever the meaning is still reasonably evident. A few indecipherable sentences have been replaced by [. . . ].
Page 1 and 2: NON-EQUILIBRIUM STATISTICAL PHYSICS
Page 3 and 4: ISBN 978-0-7354-0887-6 ISSN 0094-24
Page 5 and 6: To learn more about AIP Conference
Page 7 and 8: Editors Pedro L. Garrido Joaquín M
Page 9 and 10: On the approach to thermal equilibr
Page 11 and 12: Analytical study of hysteresis in t
Page 13 and 14: Fluctuations of the dissipated ener
Page 15: EDITORS' PREFACE This volume origin
Page 19 and 20: The third issue is really, if you w
Page 21 and 22: is which domain you keep in your mi
Page 23 and 24: Still, if I give you a number, pick
Page 25 and 26: sions from kinetic theory, even at
Page 27 and 28: the forces between them, then we wo
Page 29 and 30: • JLL: I think in general. . . Wh
Page 31 and 32: something some interactions that ap
Page 33 and 34: equations of motion. Working just o
Page 35 and 36: you have some other open problems w
Page 37 and 38: Three lectures: NEMD, SPAM, and sho
Page 39 and 40: E = 1/2 0.3 Fermi-Pasta-Ulam 0.2 0.
Page 41 and 42: Consider the simplest interesting c
Page 43 and 44: Nosé-Hoover mechanics opens up the
Page 45 and 46: FIGURE 5. A series of 200,000 Galto
Page 47 and 48: FIGURE 7. A Four Chamber viscous fl
Page 49 and 50: FIGURE 8. Rayleigh-Bénard problem,
Page 51 and 52: SPAM Algorithms and the Continuity
Page 53 and 54: FIGURE 10. Contours of average dens
Page 55 and 56: FIGURE 12. Water Column collapse fo
Page 57 and 58: FIGURE 14. Stationary shockwave in
Page 59 and 60: FIGURE 16. Snapshots near the begin
Page 61 and 62: FIGURE 17. Shock Thermal and Mechan
Page 63 and 64: Solving the time-dependent continuu
Page 65 and 66: time = 2 time = 4 time = 6 time = 1
Page 67 and 68:
time = 2 time = 4 time = 6 time = 1
Page 69 and 70:
Holland, Amsterdam, 1986, pp. 43-65
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λ0 0000000 1111111 0000000 1111111
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The Langevin equation for the overd
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for the Langevin equation (4). The
Page 77 and 78:
The first term on the right hand si
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As an important application, based
Page 81 and 82:
FIGURE 6. Sketch of protein unfoldi
Page 83 and 84:
Detailed fluctuation theorem In a N
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1 . 5 1 . 0 0 . 5 v io la t io n in
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At first sight, one might not have
Page 89 and 90:
of internal states of the machine o
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Hydrodynamics from dynamical non-eq
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conclusions. THEORETICAL BACKGROUND
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= exp[−β(H0(Γ) + k 2 ( ˆF(r)
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y the Blue Moon ensemble (see Refs.
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ent cells as , b three servoir n x
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(a) (b) FIGURE FIG. 5. 3. Setting L
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simulation box along the χ-th Cart
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!"!"!#$%&'# !"!"!(#$%&'# FIGURE 6.
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produce the phenomenon of pushing u
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11. R. Kubo, J. Phys. Soc. Jpn. 12,
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According to the equipartition law,
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FIGURE 1. Control parameter and con
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FIGURE 2. The bead in the optical t
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The unfolding of the hairpin is rev
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FIGURE 5. The Crooks fluctuation re
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FIGURE 6. FDC versus FEC. (a) Exper
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FIGURE 8. The generalized Crooks fl
Page 125 and 126:
Universality in equilibrium and awa
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UNIVERSALITY IN NON-EQUILIBRIUM Let
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From this perspective, does it make
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(a) (b) (c) (d) σ=2.30 σ=2.38 σ=
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to the coarse-graining process. How
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ford, 1990; G. Parisi, Statistical
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Fourier law, phase transitions, and
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FIGURE 1. a β (m) is flat in [−m
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which shows that in the stationary
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FREE ENERGY FUNCTIONALS AND LYAPUNO
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If we use instead the Ginzburg-Land
Page 147 and 148:
REFERENCES 1. A. De Masi, E. Presut
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scale. The theory, mesoscopic non-e
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where L(γ,P(γ)) is an Onsager coe
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To illustrate explicitly the influe
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which can also be expressed as J =
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CONCLUSIONS The classical way to st
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Noise-induced transitions vs. noise
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Alternatively, for fixed µ > 0 one
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expressed in terms of the variable
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the dynamics: for larger noise inte
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m(t) m(t) m(t) m(t) m(t) 4 2 0 -2 -
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On the approach to thermal equilibr
Page 171 and 172:
We assume that there is one dominan
Page 173 and 174:
we thus have that |ψt〉〈ψt| =
Page 175 and 176:
To better appreciate the significan
Page 177 and 178:
with a multitude of systems, all wi
Page 179 and 180:
hypothesis [2], in which the thermo
Page 181 and 182:
NON-EQUILIBRIUM THERMODYNAMIC POTEN
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and composition, the question about
Page 185 and 186:
3. D. Y. Tzou, Macro-to-microscale
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Dynamical processes defined on netw
Page 189 and 190:
For the marginal case s = 2, where
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may occur, which cause power-law dy
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Stationary points approach to therm
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is an insignificant restriction, si
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FIGURE 2. Sketch of stationary poin
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dimensions and height comparable to
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FIGURE 2. Sequence of top view conf
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ACKNOWLEDGMENTS We would like to th
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Local properties at equilibrium can
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✻ β −1 µ0 µ1 µ2 µ3 J compl
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On the role of Galilean invariance
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with δ ± λ j ≡ 2νa (h j±1
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ACKNOWLEDGMENTS HSW acknowledges fi
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where 〈...〉eq is an average ove
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the Heisenberg chain is incorporate
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Computing LDFs from scratch, starti
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which expresses the locally-Gaussia
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allowed because of (i). Hence for t
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G(J x ,J y ) 0 -1 -2 -3 -4 -5 -6 -4
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dependent optimal profiles (probabl
Page 229 and 230:
FIGURE 1. a) SNR vs γ, for εc −
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can set up a reference frame S ′
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A Φ(x) =ξ− B Φ(x) =ξ+ Φ(x) =
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Dynamical behavior of heat conducti
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Fast transients in mesoscopic syste
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ACKNOWLEDGMENTS This research was p
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FIGURE 1. (a) Three types of decay
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To study the heat flow, we write th
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the time-reversal invariance of the
Page 247 and 248:
FIGURE 1. Averaged stochastic traje
Page 249 and 250:
Strong ratchet effects for heteroge
Page 251 and 252:
Stochastic protein production and t
Page 253 and 254:
Creating the conditions of anomalou
Page 255 and 256:
Cluster size distribution in Gaussi
Page 257 and 258:
A non-equilibrium potential functio
Page 259 and 260:
Quasi-stationary states and a class
Page 261 and 262:
Fluctuation relations and fluctuati
Page 263 and 264:
Why are so many networks disassorta
Page 265 and 266:
Analytical study of hysteresis in t
Page 267 and 268:
Queues on narrow roads and in airpl
Page 269 and 270:
Fluctuations out of equilibrium V.V
Page 271 and 272:
Long-range interacting systems and
Page 273 and 274:
Irreversibility of the renormalizat
Page 275 and 276:
Classical systems: moments, continu
Page 277:
ABSTRACTS OF SELECTED CONTRIBUTIONS
Page 280 and 281:
Nonlinear Boltzmann equation for th
Page 282 and 283:
The Liouville equation and BBGKY hi
Page 284 and 285:
Experimental densities of binary mi
Page 286 and 287:
New insights in a 2-D hard disk sys
Page 288 and 289:
Velocity-velocity correlation funct
Page 290 and 291:
Analysis of ship maneuvering data f
Page 292 and 293:
Thermally activated escape far from
Page 294 and 295:
Space-time phase transitions in the
Page 296 and 297:
Fluctuations of the dissipated ener
Page 298 and 299:
Breeding gravitational lenses J. Li
Page 300 and 301:
A formula on the pressure for a set
Page 302 and 303:
Noninteracting classical spins in a
Page 304 and 305:
Current fluctuations in a two dimen
Page 306 and 307:
Violation of fluctuation-dissipatio
Page 308 and 309:
Nonequilibrium thermodynamics of si
Page 310 and 311:
The non-equilibrium and energetic c
Page 312 and 313:
Dynamical systems approach to the s
Page 315 and 316:
Akiyama, Ryo Japan Álvarez-Estrada
Page 317 and 318:
A Akiyama, Ryo 261, 295 Albano, Eze
Page 319:
P Pérez-Espigares, C. 202, 268, 28
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23966k - Instituto Carlos I - Universidad de Granada

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