125 citations · 609 across the 24 of their papers we have counts for
21 papers · 1 filter
Exact solution of the anisotropic special transition in the O(n) model in 2D
Jerome Dubail, Jesper Lykke Jacobsen, Hubert Saleur
The effect of surface exchange anisotropies is known to play a important role in magnetic critical and multicritical behavior at surfaces. We give an exact analysis of this problem…
Universality classes of dense polymers and conformal sigma models
C. Candu, J. L. Jacobsen, N. Read +1
In the usual statistical model of a dense polymer (a single space-filling loop on a lattice) in two dimensions the loop does not cross itself. We modify this by including intersect…
Critical behavior of loops and biconnected clusters on fractals of dimension d < 2
Dibyendu Das, Supravat Dey, Jesper Lykke Jacobsen +1
We solve the O(n) model, defined in terms of self- and mutually avoiding loops coexisting with voids, on a 3-simplex fractal lattice, using an exact real space renormalization grou…
Modeling force-induced bio-polymer unfolding
Anthony J. Guttmann, Jesper L. Jacobsen, Iwan Jensen +1
We study the conformations of polymer chains in a poor solvent, with and without bending rigidity, by means of a simple statistical mechanics model. This model can be exactly solve…
Exact enumeration of Hamiltonian circuits, walks, and chains in two and three dimensions
Jesper Lykke Jacobsen
We present an algorithm for enumerating exactly the number of Hamiltonian chains on regular lattices in low dimensions. By definition, these are sets of k disjoint paths whose unio…
Phase diagram of the chromatic polynomial on a torus
Jesper Lykke Jacobsen, Jesus Salas
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…