Fingerprints of nonextensive thermodynamics in a long range Hamiltonian system - INSPIRE

DataBETA

Fingerprints of nonextensive thermodynamics in a long range Hamiltonian system

Vito Latora
(
- Catania U. and
- INFN, Catania
)
,
Andrea Rapisarda
(
- Catania U. and
- INFN, Catania
)
,
Constantino Tsallis
(
- Rio de Janeiro, CBPF
)

2002

10 pages

Published in:

Physica A 305 (2002) 129

Contribution to:

International School and Workshop on Nonextensive Thermodynamics and Physical Applications (NEXT 2001)

e-Print:

cond-mat/0109056 [cond-mat.stat-mech]

DOI:

10.1016/S0378-4371(01)00651-3

View in:

ADS Abstract Service

reference search14 citations

Citations per year

Abstract: (arXiv)

We study the dynamics of a Hamiltonian system of N classical spins with infinite-range interaction. We present numerical results which confirm the existence of metaequilibrium Quasi Stationary States (QSS), characterized by non-Gaussian velocity distributions, anomalous diffusion, L\'evy walks and dynamical correlation in phase-space. We show that the Thermodynamic Limit (TL) and the Infinite-Time Limit (ITL) do not commute. Moreover, if the TL is taken before the ITL the system does not relax to the Boltzmann-Gibbs equilibrium, but remains in this new equilibrium state where nonextensive thermodynamics seems to apply.

Note:

ReVteX, 10 pages, 5 ps figures, talk presented by V. Latora at NEXT 2001. Revised version with improved figs and updated refs. To be published in Physica A

References(46)

Figures(0)

[1]

See for example Equilibrium and Nonequilibrium Statistical Mechanics (1974), pages 135-141

R. Balescu

[2]

Usually W is put equal to the number of complexions... In order to calculate W, one needs a complete (molecular-mechanical) theory of the system under consideration. Therefore it is dubious whether the Boltzmann principle has any meaning without a complete molecular-mechanical theory or some other theory which describes the elementary processes. S = R N log W + const. seems without content, from a phenomenological point of view, without giving in addition such an Elementartheorie.

A. Einstein

- Annalen Phys. 33 (1910) 1275

[3]

contribution to this volume

E.G.D. Cohen

[4]

Thermodynamics and Statistical Mechanics (1991)

P.T. Landsberg

[5]

Thermodynamics (1967)

E. Fermi

[6]

P. Hertel
,
W. Thirring

- Annals Phys. 63 (1971) 520

[7]

Negative specific heat in astronomy, physics and chemistry

D. Lynden-Bell
(
- Cambridge U. and
- Queen's U., Belfast
)

- Physica A 263 (1999) 293-304
•
e-Print:
- cond-mat/9812172
•
DOI:
- 10.1016/S0378-4371(98)00518-4

[8]

Statistical mechanics and computer simulation of systems with attractive positive power-law potentials

- Phys.Rev.E 57 (1998) 2763-2775
•
DOI:
- 10.1103/PhysRevE.57.2763

[9]

Microcanonical thermodynamics: Phase transitions in Small systems, 66 Lectures Notes in Physics, World scientific, Singapore (2001) and refs. therein

D.H.E Gross

[10]

Negative heat capacity in the critical region of nuclear fragmentation: An Experimental evidence of the liquid gas phase transition

M. D'Agostino
(
- Bologna U. and
- INFN, Bologna
)
,
F. Gulminelli
(
- Caen U.
)
,
P. Chomaz
(
- GANIL
)
,
M. Bruno
(
- Bologna U. and
- INFN, Bologna
)
,
F. Cannata
(
- Bologna U. and
- INFN, Bologna
)

et al.

- Phys.Lett.B 473 (2000) 219-225
•
e-Print:
- nucl-ex/9906004
•
DOI:
- 10.1016/S0370-2693(99)01486-0

[11]

Negative heat capacity for a cluster of 147 sodium atoms

et al.

- Phys.Rev.Lett. 86 (2001) 1191-1194
•
DOI:
- 10.1103/PhysRevLett.86.1191

[12]

A. Kudrolli
,
J. Henry

- Phys.Rev.E 62 (2000) R1489

[12]

Y-H. Taguchi
,
H. Takayasu

- EPL 30 (1995) 499

[13]

Possible Generalization of Boltzmann-Gibbs Statistics

Constantino Tsallis
(
- Rio de Janeiro, CBPF
)

- J.Statist.Phys. 52 (1988) 479-487
•
DOI:
- 10.1007/BF01016429

[13]

S. Abe and Y. Okamoto (eds.) For recent review papers see also: , Nonextensive Statistical Mechanics and Thermodynamics, Lecture Notes in Physics

C. Tsallis

[13]

Entropic nonextensivity: A Possible measure of complexity

C. Tsallis
(
- Rio de Janeiro, CBPF
)

- Chaos Solitons Fractals 13 (2002) 371
•
e-Print:
- cond-mat/0010150
•
DOI:
- 10.1016/S0960-0779(01)00019-4

[14]

B.M. Boghosian

- Phys.Rev.E 53 (1996) 4754

[14]

M. Coraddu
,
M. Lissia
,
G. Mezzorani
,
P. Quarati

e-Print:
- cond-mat/0012002

[15]

On the interpretation of nonextensive parameter q in Tsallis statistics and Levy distributions

G. Wilk
(
- Soltan Inst., Swierk
)
,
Z. Wlodarczyk
(
- Kielce, Pedagogical U.
)

- Phys.Rev.Lett. 84 (2000) 2770
•
e-Print:
- hep-ph/9908459
•
DOI:
- 10.1103/PhysRevLett.84.2770

[15]

O.V. Utyuzh
,
G. Wilk

[15]

G and Z. Wlodarczyk J. of Phys. G 26 (2000) L39

W.M. Alberico
,
A. Lavagno
,
P. Quarati

[15]

Nonextensive statistics, fluctuations and correlations in high-energy nuclear collisions

W.M. Alberico
(
- Turin U. and
- INFN, Turin
)
,
A. Lavagno
(
- Turin Polytechnic and
- INFN, Turin
)
,
P. Quarati
(
- Turin Polytechnic and
- INFN, Cagliari
)

- Eur.Phys.J.C 12 (2000) 499-506
•
e-Print:
- nucl-th/9902070
•
DOI:
- 10.1007/s100529900220

[16]

Measuring nonextensitivity parameters in a turbulent Couette-Taylor flow

Christian Beck
(
- Queen Mary, U. of London
)
,
Gregory S. Lewis
(
- Unlisted
)
,
Harry L. Swinney
(
- Texas U.
)

- Phys.Rev.E 63 (2001) 035303
•
e-Print:
- cond-mat/0010476
•
DOI:
- 10.1103/PhysRevE.63.035303

[17]

Generalization to nonextensive systems of the rate of entropy increase: The Case of the logistic map

Vito Latora
(
- MIT, LNS and
- Harvard U.
)
,
Andrea Rapisarda
(
- Catania U. and
- INFN, Catania
)
,
Constantino Tsallis
(
- Rio de Janeiro, CBPF
)
,
Michel Baranger
(
- MIT, LNS
)

- Phys.Lett.A 273 (2000) 97
•
e-Print:
- cond-mat/9907412
•
DOI:
- 10.1016/S0375-9601(00)00484-9

[17]

U. Tirnakli

- Phys.Rev.E 62 (2000) 7857

1-25 of 46
1
2
25 / page