Spin glasses and other lattice systems with long range interactions

J. Fröhlich; B. Zegarlinski

doi:10.1007/bf01260392

Spin glasses and other lattice systems with long range interactions

Communications in Mathematical Physics ◽

10.1007/bf01260392 ◽

1989 ◽

Vol 120 (4) ◽

pp. 665-688 ◽

Cited By ~ 10

Author(s):

J. Fröhlich ◽

B. Zegarlinski

Keyword(s):

Long Range ◽

Spin Glasses ◽

Lattice Systems ◽

Long Range Interactions

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Freezing of the extended states in mean field theory of dilute Ising spin glasses with long range interactions

Solid State Communications ◽

10.1016/0038-1098(95)00424-6 ◽

1995 ◽

Vol 96 (9) ◽

pp. 711-715 ◽

Cited By ~ 7

Author(s):

B.E Vugmeister ◽

D Nowakowski ◽

D.L Huber

Keyword(s):

Field Theory ◽

Long Range ◽

Spin Glasses ◽

Mean Field Theory ◽

Mean Field ◽

Ising Spin ◽

Long Range Interactions ◽

Extended States

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Universal Threshold for the Dynamical Behavior of Lattice Systems with Long-Range Interactions

Physical Review Letters ◽

10.1103/physrevlett.110.170603 ◽

2013 ◽

Vol 110 (17) ◽

Cited By ~ 26

Author(s):

Romain Bachelard ◽

Michael Kastner

Keyword(s):

Long Range ◽

Dynamical Behavior ◽

Lattice Systems ◽

Long Range Interactions

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Freezing of the extended state in the random local field theory of Ising spin glasses with long range interactions

Journal of Applied Physics ◽

10.1063/1.362051 ◽

1996 ◽

Vol 79 (8) ◽

pp. 6143 ◽

Cited By ~ 4

Author(s):

B. E. Vugmeister ◽

D. Nowakowski ◽

D. L. Huber

Keyword(s):

Field Theory ◽

Long Range ◽

Local Field ◽

Spin Glasses ◽

Extended State ◽

Ising Spin ◽

Local Field Theory ◽

Long Range Interactions

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Random versus nonrandom competing bonds for spin glasses with long-range interactions

Zeitschrift für Physik B Condensed Matter ◽

10.1007/bf01313631 ◽

1989 ◽

Vol 77 (1) ◽

pp. 141-150

Author(s):

M. Wilkens ◽

H. -J. Sommers ◽

M. Lewenstein ◽

F. Haake

Keyword(s):

Long Range ◽

Spin Glasses ◽

Long Range Interactions

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Short-and long-range interactions in spin-glasses

Physical Review B ◽

10.1103/physrevb.30.2934 ◽

1984 ◽

Vol 30 (5) ◽

pp. 2934-2936 ◽

Cited By ~ 1

Author(s):

I. Morgenstern ◽

J. L. van Hemmen

Keyword(s):

Long Range ◽

Spin Glasses ◽

Long Range Interactions

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Coarse-graining schemes for stochastic lattice systems with short and long-range interactions

Mathematics of Computation ◽

10.1090/s0025-5718-2014-02806-8 ◽

2014 ◽

Vol 83 (288) ◽

pp. 1757-1793 ◽

Cited By ~ 3

Author(s):

Markos A. Katsoulakis ◽

Petr Plecháč ◽

Luc Rey-Bellet ◽

Dimitrios K. Tsagkarogiannis

Keyword(s):

Long Range ◽

Coarse Graining ◽

Lattice Systems ◽

Long Range Interactions

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Spin glasses with long-range interactions

Physics Letters A ◽

10.1016/0375-9601(81)90234-6 ◽

1981 ◽

Vol 85 (2) ◽

pp. 103-106 ◽

Cited By ~ 5

Author(s):

Y. Ueno ◽

S. Okamoto

Keyword(s):

Long Range ◽

Spin Glasses ◽

Long Range Interactions

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AN ATTEMPT TO INTRODUCE LONG-RANGE INTERACTIONS INTO SMALL-WORLD NETWORKS

Modern Physics Letters B ◽

10.1142/s0217984910022743 ◽

2010 ◽

Vol 24 (07) ◽

pp. 671-679 ◽

Cited By ~ 2

Author(s):

CHUN-YANG WANG ◽

XIANG-MU KONG

Keyword(s):

Critical Temperature ◽

Long Range ◽

Gaussian Model ◽

Small World ◽

Classical Case ◽

Critical Properties ◽

Small World Networks ◽

Lattice Systems ◽

Spin Lattice ◽

Long Range Interactions

Distinguishing the long-range bonds with the regular ones, the critical temperature of the spin-lattice Gaussian model built on two typical small-world networks is studied. The results show much difference from the classical case, and thus may induce some more accurate discussion on the critical properties of the spin-lattice systems combined with the small-world networks.

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