2007

G. Oshanin 1, 2, R. Voituriez 1, S. Nechaev 3, O. Vasilyev 2, Florent Hivert 4 The European Physical Journal Special Topics 143 (2007) 143-157 We survey recent results on some one- and two-dimensional patterns generated by random permutations of natural numbers. In the first part, we discuss properties of random walks, evolving on a one-dimensional regular lattice in discrete time $n$, whose moves to the […]

Barrat, A., Trizac, E., Ernst, M.H. Journal of Physics A 40 (2007) 4057-4073

P. Di Francesco 1, Paul Zinn-Justin 2 Journal of statistical mechanics-theory and experiment (2007) P12009 We consider the level 1 solution of quantum Knizhnik-Zamolodchikov equation with reflecting boundary conditions which is relevant to the Temperley–Lieb model of loops on a strip. By use of integral formulae we prove conjectures relating it to the weighted enumeration of Cyclically Symmetric Transpose

E. Trizac 1, 2, G. Tellez 3 Macromolecules 40 (2007) 1305-1310 The thermodynamics of nucleic acid processes is heavily affected by the electric double-layer of micro-ions around the polyions. We focus here on the Coulombic contribution to the salt-polyelectrolyte preferential interaction (Donnan) coefficient and we report extremely accurate analytical expressions valid in the range of low salt concentration (when polyion

Olivier C Martin 1, 2, Luca Peliti 3, S. Sumedha 1 Journal of Statistical Mechanics: Theory and Experiment (2007) P05011 We study the dynamics of a population subject to selective pressures, evolving either on RNA neutral networks or in toy fitness landscapes. We discuss the spread and the neutrality of the population in the steady state. Different limits arise depending on whether

A. V. Razumov 1, Yu. G. Stroganov 1, Paul Zinn-Justin 2 Journal of Physics A Mathematical and Theoretical 40 (2007) 11827-11847 Integral formulae for polynomial solutions of the quantum Knizhnik-Zamolodchikov equations associated with the R-matrix of the six-vertex model are considered. It is proved that when the deformation parameter q is equal to e^{+- 2 pi i/3} and the number of

Lenka Zdeborová 1, Florent Krzakala 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 76 (2007) 031131 We consider the problem of coloring the vertices of a large sparse random graph with a given number of colors so that no adjacent vertices have the same color. Using the cavity method, we present a detailed and systematic analytical study

Jesper Lykke Jacobsen 1, 2, Jesus Salas 3 Nuclear Physics B – Proceedings Supplements 783 (2007) 238-296 We study the zero-temperature partition function of the Potts antiferromagnet (i.e., the chromatic polynomial) on a torus using a transfer-matrix approach. We consider square- and triangular-lattice strips with fixed width L, arbitrary length N, and fully periodic boundary conditions. On the mathematical side,

Somnath Bhattacharya 1, Dibyendu Das 1, Satya N. Majumdar 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 75 (2007) 061122 We consider a single Rouse polymer chain in two dimensions in presence of a transverse shear flow along the $x$ direction and calculate the persistence probability $P_0(t)$ that the $x$ coordinate of a bead in the bulk of the

Falque, M., Mercier, R., Mezard, M., de Vienne, D., Martin, O.C. Genetics176 (2007) 1453-1467