منابع مشابه
Fat Fisher Zeroes
We show that it is possible to determine the locus of Fisher zeroes in the thermodynamic limit for the Ising model on planar (“fat”) φ random graphs and their dual quadrangulations by matching up the real part of the high and low temperature branches of the expression for the free energy. The form of this expression for the free energy also means that series expansion results for the zeroes may...
متن کاملThin Fisher Zeroes
Biskup et al. [Phys. Rev. Lett. 84 (2000) 4794] have recently suggested that the loci of partition function zeroes can profitably be regarded as phase boundaries in the complex temperature or field planes. We obtain the Fisher zeroes for Ising and Potts models on non-planar (“thin”) regular random graphs using this approach, and note that the locus of Fisher zeroes on a Bethe lattice is identic...
متن کاملDensity of the Fisher zeroes for the Ising model
In the analyses of lattice models in statistical mechanics such as the Ising model, the partition function is often expressed in the form of a polynomial in variables such as the external magnetic field and/or the temperature. Since properties of a polynomial are completely determined by its roots, a knowledge of the zeroes of the partition function yields all thermodynamic properties of the sy...
متن کاملFinite Size Scaling, Fisher Zeroes and N=4 Super Yang-Mills
We investigate critical slowing down in the local updating continuous-time Quantum Monte Carlo method by relating the finite size scaling of Fisher Zeroes to the dynamically generated gap, through the scaling of their respective critical exponents. As we comment, the nonlinear sigma model representation derived through the hamiltonian of our lattice spin model can also be used to give a effecti...
متن کاملFisher Zeroes and Singular Behaviour of the Two Dimensional Potts Model in the Thermodynamic Limit
The duality transformation is applied to the Fisher zeroes near the ferromagnetic critical point in the q > 4 state two dimensional Potts model. A requirement that the locus of the duals of the zeroes be identical to the dual of the locus of zeroes in the thermodynamic limit (i) recovers the ratio of speciic heat to internal energy discontinuity at criticality and the relationships between the ...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2001
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(01)00422-9