Scaling behavior in very small percolation lattices - INSPIRE

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Scaling behavior in very small percolation lattices

Mar, 1997

7 pages

Published in:

Phys.Rev.C 55 (1997) 1319-1326

DOI:

10.1103/PhysRevC.55.1319

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Abstract: (APS)

We examine the average cluster distribution as a function of lattice probability for a very small (L=6) lattice and determine the scaling function of three-dimensional percolation. The behavior of the second moment, calculated from the average cluster distribution of L=6 and L=63 lattices, is compared to power-law behavior predicted by the scaling function. We also examine the finite-size scaling of the critical point and the size of the largest cluster at the critical point. This analysis leads to estimates of the critical exponent ν and the ratio of critical exponents β/ν.

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References(22)

Figures(0)

Fragment production in the interaction of 5.5-gev protons with uranium

Arthur M. Poskanzer
(
- UC, Berkeley
)
,
G.W. Butler
(
- UC, Berkeley
)
,
E.K. Hyde
(
- UC, Berkeley
)

- Phys.Rev.C 3 (1971) 882-904
•
DOI:
- 10.1103/PhysRevC.3.882

Energy Spectra of Nuclear Fragments Produced by High-Energy Protons

G.D. Westfall
(
- LBL, Berkeley
)
,
R.G. Sextro
(
- LBL, Berkeley
)
,
Arthur M. Poskanzer
(
- LBL, Berkeley
)
,
A.M. Zebelman
(
- LBL, Berkeley
)
,
G.W. Butler
(
- LBL, Berkeley
)

et al.

- Phys.Rev.C 17 (1978) 1368-1381
•
DOI:
- 10.1103/PhysRevC.17.1368

Nuclear Fragment Emission in High-energy $P$ Xe and $P$ Kr Collisions and a Description of Their Production Mechanism.

J.A. Gaidos
(
- Purdue U. and
- Fermilab
)
,
L.J. Gutay
(
- Purdue U. and
- Fermilab
)
,
A.S. Hirsch
(
- Purdue U. and
- Fermilab
)
,
R. Mitchell
(
- Purdue U. and
- Fermilab
)
,
T.V. Ragland
(
- Purdue U. and
- Fermilab
)

et al.

- Phys.Rev.Lett. 42 (1979) 82-85
•
DOI:
- 10.1103/PhysRevLett.42.82

Nuclear Fragment Mass Yields From High-energy Proton - Nucleus Interactions

et al.

- Phys.Rev.Lett. 49 (1982) 1321
•
DOI:
- 10.1103/PhysRevLett.49.1321

Critical Phenomena in Hadronic Matter and Experimental Isotopic Yields in High-energy Proton - Nucleus Collisions

et al.

- Phys.Lett.B 118 (1982) 458
•
DOI:
- 10.1016/0370-2693(82)90224-6

- J.Phys.A 19 L917

- Phys.Lett.B 208 35L

Extraction of signals of a phase transition from nuclear multifragmentation

Wolfgang Bauer
(
- Caltech, Kellogg Lab
)

- Phys.Rev.C 38 (1988) 1297-1303
•
DOI:
- 10.1103/PhysRevC.38.1297

- NOONE 340 263

Charge correlations as a probe of nuclear disassembly

P. Kreutz
(
- Frankfurt U., Inst. Kernphys.
)
,
J.C. Adioff
(
- Strasbourg, CRN
)
,
M. Begemann-Blaich
(
- Darmstadt, GSI
)
,
P. Bouissou
(
- Saclay
)
,
J. Hubele
(
- Darmstadt, GSI
)

et al.

- Nucl.Phys.A 556 (1993) 672-696
•
DOI:
- 10.1016/0375-9474(93)90476-E

The Determination of critical exponents from the multifragmentation of gold nuclei

EOS

Collaboration

•

M.L. Gilkes
(
- Purdue U.
)

et al.

- Phys.Rev.Lett. 73 (1994) 1590-1593
•
DOI:
- 10.1103/PhysRevLett.73.1590

Individual fragment yields and determination of the critical exponent sigma

EOS

Collaboration

•

J.B. Elliott
(
- Purdue U.
)

et al.

- Phys.Lett.B 381 (1996) 35-39
•
DOI:
- 10.1016/0370-2693(96)00590-4

Dynamics of the multifragmentation of 1-A-GeV gold on carbon

EOS

Collaboration

•

J.A. Hauger
(
- Purdue U.
)

et al.

- Phys.Rev.Lett. 77 (1996) 235-238
•
DOI:
- 10.1103/PhysRevLett.77.235

Extraction of critical exponents from very small percolation lattices

J.B. Elliott
(
- Unlisted and
- Purdue U., Chem. Dept.
)
,
M.L. Gilkes
(
- Unlisted and
- Purdue U., Chem. Dept.
)
,
J.A. Hauger
(
- Unlisted and
- Purdue U., Chem. Dept.
)
,
A.S. Hirsch
(
- Unlisted and
- Purdue U., Chem. Dept.
)
,
E. Hjort
(
- Unlisted and
- Purdue U., Chem. Dept.
)

et al.

- Phys.Rev.C 49 (1994) 3185-3191
•
DOI:
- 10.1103/PhysRevC.49.3185

- Phys.Rept. 54 2

Scaling studies of percolation phenomena in systems of dimensionality two to seven: Cluster numbers

Hisao Nakanishi
(
- Boston U.
)
,
H.Eugene Stanley
(
- Boston U.
)

- Phys.Rev.B 22 (1980) 2466-2488
•
DOI:
- 10.1103/PhysRevB.22.2466

EXPERIMENTAL EVIDENCE FOR A LIQUID - GAS PHASE TRANSITION IN NUCLEAR SYSTEMS

A.D. Panagiotou
(
- Michigan State U. and
- Athens U.
)
,
M.W. Curtin
(
- Michigan State U. and
- Athens U.
)
,
H. Toki
(
- Michigan State U. and
- Athens U.
)
,
D.K. Scott
(
- Michigan State U. and
- Athens U.
)
,
P.J. Siemens
(
- Texas A-M
)

- Phys.Rev.Lett. 52 (1984) 496-499
•
DOI:
- 10.1103/PhysRevLett.52.496

New approach to fragmentation reactions: The nuclear lattice model

- Phys.Lett.B 150 (1985) 53-56
•
DOI:
- 10.1016/0370-2693(85)90136-4

Intermediate mass fragment production in central collisions of intermediate energy heavy ions

T. Li
(
- Michigan State U., NSCL and
- Michigan State U.
)
,
W. Bauer
(
- Michigan State U., NSCL and
- Michigan State U.
)
,
D. Craig
(
- Michigan State U., NSCL and
- Michigan State U.
)
,
M. Cronqvist
(
- Michigan State U., NSCL and
- Michigan State U.
)
,
E. Gualtieri
(
- Michigan State U., NSCL and
- Michigan State U.
)

et al.

- Phys.Rev.Lett. 70 (1993) 1924-1927
•
DOI:
- 10.1103/PhysRevLett.70.1924

Mass dependence of critical behavior in nucleus-nucleus collisions

T. Li
(
- Michigan State U., NSCL and
- Michigan State U.
)
,
W. Bauer
(
- Michigan State U., NSCL and
- Michigan State U.
)
,
D. Craig
(
- Michigan State U., NSCL and
- Michigan State U.
)
,
E. Gualtieri
(
- Michigan State U., NSCL and
- Michigan State U.
)
,
S. Hannuschke
(
- Michigan State U., NSCL and
- Michigan State U.
)

et al.

- Phys.Rev.C 49 (1994) 1630-1634
•
DOI:
- 10.1103/PhysRevC.49.1630

Lattice gas model for fragmentation: From argon on scandium to gold on gold

Subal Das Gupta
(
- McGill U.
)
,
Ji-cai Pan
(
- McGill U.
)

- Phys.Rev.C 53 (1996) 1319-1324
•
e-Print:
- nucl-th/9512028
•
DOI:
- 10.1103/PhysRevC.53.1319

- NOONE 44 339