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7 papers · 2 filters
Thermodynamic limit and proof of condensation for trapped bosons
Andras Suto
We study condensation of trapped bosons in the limit when the number of particles tends to infinity. For the noninteracting gas we prove that there is no phase transition in any di…
Percolation in random environment
Róbert Juhász, Ferenc Iglói
We consider bond percolation on the square lattice with perfectly correlated random probabilities. According to scaling considerations, mapping to a random walk problem and the res…
First- and second-order phase transitions in scale-free networks
Ferenc Iglói, Loïc Turban
We study first- and second-order phase transitions of ferromagnetic lattice models on scale-free networks, with a degree exponent . Using the example of the -state Potts mode…
Optimal Cooperation and Submodularity for Computing Potts' Partition Functions with a Large Number of State
J-Ch. Angles d'Auriac, F. Igloi, M. Preissmann +1
The partition function of the q-state Potts model with random ferromagnetic couplings in the large-q limit is generally dominated by the contribution of a single diagram of the hig…
Percolation transition in the Bose gas II
Andras Suto
In an earlier paper (J. Phys. A: Math. Gen. 26 (1993) 4689) we introduced the notion of cycle percolation in the Bose gas and conjectured that it occurs if and only if there is Bos…
Strong disorder fixed point in absorbing state phase transitions
Jef Hooyberghs, Ferenc Igloi, Carlo Vanderzande
The effect of quenched disorder on non-equilibrium phase transitions in the directed percolation universality class is studied by a strong disorder renormalization group approach a…