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Ising spins on the labyrinth
 in Proc. of the 5th International Conference on Quasicrystals, C. Janot and
, 1995
"... We consider a zerofield Ising model defined on a quasiperiodic graph, the socalled Labyrinth tiling. Exact information about the critical behaviour is obtained from duality arguments and the subclass of models which yield commuting transfer matrices. For the latter, the magnetization is independen ..."
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We consider a zerofield Ising model defined on a quasiperiodic graph, the socalled Labyrinth tiling. Exact information about the critical behaviour is obtained from duality arguments and the subclass of models which yield commuting transfer matrices. For the latter, the magnetization
Random Surfaces With Ising Spins
, 1990
"... INTRODUCTION String theories have been the subject of intense studies during the last decade, motivated by the hope that they will provide a new fundamental theory of "everything". In its Euclidean version, a string theory corresponds to a theory of random surfaces. It has become evident, ..."
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INTRODUCTION String theories have been the subject of intense studies during the last decade, motivated by the hope that they will provide a new fundamental theory of "everything". In its Euclidean version, a string theory corresponds to a theory of random surfaces. It has become evident, though, that a purely bosonic theory of random surfaces has unavoidable intrinsic diseases, which however might be cured by adding fermionic degrees of freedom (superstrings) to the Polyakov type string model. 1 In order to allow numerical investigations, the theory must be suitably discretized. The currently most promising attempt involves using dynamically triangulated random surfaces. 2;3;4 This idea has been exploited in MonteCarlo investigations for the purely bosonic case with encouraging results. 5;6 It is then natural to try to generalize this line of investigation to include also fermionic degrees of freedom,
Aging Relation for Ising Spin Glasses
, 2008
"... We derive a rigorous dynamical relation on aging phenomena — the aging relation — for Ising spin glasses using the method of gauge transformation. The waitingtime dependence of the autocorrelation function in the zerofieldcooling process is equivalent with that in the fieldquenching process. The ..."
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We derive a rigorous dynamical relation on aging phenomena — the aging relation — for Ising spin glasses using the method of gauge transformation. The waitingtime dependence of the autocorrelation function in the zerofieldcooling process is equivalent with that in the fieldquenching process
Parallel dynamics of disordered Ising spin
"... Abstract. We examine the nonequilibrium dynamics of bonddisordered Ising spin systems on random graphs with arbitrary degree distribution, using generating functional techniques. The dynamic order parameter is a measure describing the likelihood of a spin path, given a path of perturbations or ext ..."
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Abstract. We examine the nonequilibrium dynamics of bonddisordered Ising spin systems on random graphs with arbitrary degree distribution, using generating functional techniques. The dynamic order parameter is a measure describing the likelihood of a spin path, given a path of perturbations
SOME REMARKS ON ISINGSPIN SYSTEMS*
"... We show that: (a) the free energy and correlation functions of the twodimensional Isingspin system with nearestneighbour ferromagnetic interactions, remain infinitely differentiable with respect to B and h as hf 0 ’ for /3> #&(where PC is the reciprocal of the critical temperature) and, ..."
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We show that: (a) the free energy and correlation functions of the twodimensional Isingspin system with nearestneighbour ferromagnetic interactions, remain infinitely differentiable with respect to B and h as hf 0 ’ for /3> #&(where PC is the reciprocal of the critical temperature) and
Derivatives of order parameters in the Ising spin glass
, 206
"... Abstract. Identities and inequalities are proved for the derivatives of order parameters and correlation functions of the Ising spin glass along a line in the phase diagram. The results serve as additional evidence that the ferromagnetic phase is composed of two regions, one with strong ferromagneti ..."
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Abstract. Identities and inequalities are proved for the derivatives of order parameters and correlation functions of the Ising spin glass along a line in the phase diagram. The results serve as additional evidence that the ferromagnetic phase is composed of two regions, one with strong
Derivatives and inequalities for order parameters in the Ising spin glass
 Journal of Phyiscs A: Mathematical and General
"... Abstract. Identities and inequalities are proved for the order parameters, correlation functions and their derivatives of the Ising spin glass. The results serve as additional evidence that the ferromagnetic phase is composed of two regions, one with strong ferromagnetic ordering and the other with ..."
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Abstract. Identities and inequalities are proved for the order parameters, correlation functions and their derivatives of the Ising spin glass. The results serve as additional evidence that the ferromagnetic phase is composed of two regions, one with strong ferromagnetic ordering and the other
Results 1  10
of
25,081