A frozen glass phase in the multi-index matching problem
Martin, O.C., Mezard, M., Rivoire, O. Physical Review Letters 93 (2004) 217205
A frozen glass phase in the multi-index matching problem Lire la suite »
publications
A Bijection between classes of Fully Packed Loops and Plane Partitions
P. Di Francesco 1, Paul Zinn-Justin 2, J. -B. Zuber 1 Electronic Journal of Combinatories 11 (2004) R64 It has recently been observed empirically that the number of FPL configurations with 3 sets of a, b and c nested arches equals the number of plane partitions in a box of size a x b x c. In this note, this result
A Bijection between classes of Fully Packed Loops and Plane Partitions Lire la suite »
Polynomial iterative algorithms for coloring and analyzing random graphs – Archive ouverte HAL
A. BraunsteinR. MuletA. Pagnani 1 M. WeigtR. Zecchina A. Braunstein, R. Mulet, A. Pagnani, M. Weigt, R. Zecchina. Polynomial iterative algorithms for coloring and analyzing random graphs. Physical Review E, 2003, 68, ⟨10.1103/PhysRevE.68.036702⟩. ⟨insu-03726414⟩ We study the graph coloring problem over random graphs of finite average connectivity c. Given a number q of available colors,
XY frustrated systems: Continuous exponents in discontinuous phase transitions
Mathieu Tissier 1, Bertrand Delamotte 2, Dominique Mouhanna 2 Physical Review B 67 (2003) 134422 XY frustrated magnets exhibit an unsual critical behavior: they display scaling laws accompanied by nonuniversal critical exponents and a negative anomalous dimension. This suggests that they undergo weak first order phase transitions. We show that all perturbative approaches that have been used to investigate XY frustrated
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Unified theory for optics of conducting polymers
Kirova, N., Brazovskii, S. Synthetic Metals 135 (2003) 461
Unified theory for optics of conducting polymers Lire la suite »
Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models III. Triangular-Lattice Chromatic Polynomial
Jesper-Lykke Jacobsen 1, Jesus Salas 2, Alan D. Sokal 3 Journal of Statistical Physics 112 (2003) 921-1017 We study the chromatic polynomial P_G(q) for m \times n triangular-lattice strips of widths m
Topological correlations in trivial knots: new arguments in support of the crumpled polymer globule
Oleg A. Vasilyev 1, Sergei K. Nechaev 1, 2 Theoretical and Mathematical Physics 134 (2003) 142-159 We prove the fractal crumpled structure of collapsed unknotted polymer ring. In this state the polymer chain forms a system of densely packed folds, mutually separated in all scales. The proof is based on the numerical and analytical investigation of topological correlations in randomly generated dense
Topological character of excitations in strongly correlated electronic systems: confinement and dimensional crossover
Brazovskii, S., Kirova, N. Synthetic Metals 133 (2003) 41
The LLL Anyon equation of state in the antiscreening regime
Stefan Mashkevich 1, Stéphane Ouvry 2 Physics Letters A 310 (2003) 85-94 The thermodynamics of the anyon model projected on the lowest Landau level (LLL) of an external magnetic field is addressed in the anti-screening regime, where the flux tubes carried by the anyons are parallel to the magnetic field. It is claimed that the LLL-anyon equation of state,
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The Impact of Discoveries of Ferroelectricity and Charge Disproportionation in Organic Conductors
Serguei Brazovskii 1 Synthetic Metals 133-134 (2003) 301-303 Discoveries of the Ferroelectric anomaly (Nad, Monceau, et al) and of the related charge disproportionation (Brown et al) call for a revaluation of the phase diagram of the (TMTTF)2X compounds and return the attention to the interplay of electronic and structural properties. We shall describe a concept of the