76 citations · 406 across the 43 of their papers we have counts for
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Entropy of full covering of the kagome lattice by straight trimers
Deepak Dhar, Tiago J. Oliveira, R. Rajesh +1
We consider the number of ways all the sites of a kagome lattice can be covered by non-overlapping linear rigid rods where each rod covers 3 sites. We establish a 2-to-1 correspond…
Hard rigid rods on Husimi lattices
Lucas R. Rodrigues, Tiago J. Oliveira, Jürgen F. Stilck
We study the thermodynamic behavior of hard rigid rods of size (i.e., -mers) on four- and six-coordinated Husimi lattices (HLs), respectively built with squares (square HL)…
Semi-flexible trimers on the square lattice in the full lattice limit
Pablo Serra, Wellington G. Dantas, Jürgen F. Stilck
Trimers are chains formed by two lattice edges, and therefore three monomers. We consider trimers placed on the square lattice, the edges belonging to the same trimer are either co…
Entropy of rigid k-mers on a square lattice
Lucas R. Rodrigues, J. F. Stilck, W. G. Dantas
Using the transfer matrix technique, we estimate the entropy for a gas of rods of sizes equal to k (named k-mers), which cover completely a square lattice. Our calculations were ma…
Entropy of fully-packed rigid rods on generalized Husimi trees: a route to the square lattice limit
Nathann T. Rodrigues, Jürgen F. Stilck, Tiago J. Oliveira
Although hard rigid rods (-mers) defined on the square lattice have been widely studied in the literature, their entropy per site, , in the full-packing limit is only know…
Order-disorder transition in a two-dimensional associating lattice gas
A. P. Furlan, Tiago J. Oliveira, Jürgen F. Stilck +1
We study an associating lattice gas (ALG) using Monte Carlo simulation and solutions on Husimi lattices. In this model, the molecules have an orientational degree of freedom and th…
Solution of semi-flexible self-avoiding trails on a Husimi lattice built with squares
Tiago J. Oliveira, W. G. Dantas, Thomas Prellberg +1
We study a model of semi-flexible self-avoiding trails, where the lattice paths are constrained to visit each lattice edge at most once, with configurations weighted by the number…
Grand-canonical solution of semi-flexible self-avoiding trails on the Bethe lattice
W. G. Dantas, T. J. Oliveira, J. F. Stilck +1
We consider a model of semi-flexible interacting self-avoiding trails (sISAT's) on a lattice, where the walks are constrained to visit each lattice edge at most once. Such models h…
Phase diagram of a bidispersed hard rod lattice gas in two dimensions
Joyjit Kundu, Jürgen F. Stilck, R. Rajesh
We obtain, using extensive Monte Carlo simulations, virial expansion and a high-density perturbation expansion about the fully packed monodispersed phase, the phase diagram of a sy…
Nature of the collapse transition in interacting self-avoiding trails
Tiago J. Oliveira, Jurgen F. Stilck
We study the interacting self-avoiding trail (ISAT) model on a Bethe lattice of general coordination and on a Husimi lattice built with squares and coordination . The exac…
Transfer-matrix study of a hard-square lattice gas with two kinds of particles and density anomaly
T. J. Oliveira, J. F. Stilck
Using transfer matrix and finite-size scaling methods, we study the thermodynamic behavior of a lattice gas with two kinds of particles on the square lattice. Only excluded volume…
Polydispersed rods on the square lattice
J. F. Stilck, R. Rajesh
We study the grand-canonical solution of a system of hard polydispersed rods placed on the square lattice using transfer matrix and finite size scaling calculations. We determine t…
Pressure exerted by a grafted polymer: Bethe lattice solution
Rafael Mynssem Brum, Jurgen F. Stilck
We solve the problem of a chain, modeled as a self-avoiding walk, grafted o the wall limiting a semi-infinite Bethe lattice of arbitrary coordination number q. In particular, we de…
Reversible limit of processes of heat transfer
Jürgen F. Stilck, Rafael Mynssem Brum
We study a process of heat transfer between a body of heat capacity C(T) and a sequence of N heat reservoirs, with temperatures equally spaced between an initial temperature T_0 an…
Pressure exerted by a grafted polymer on the limiting line of a semi-infinite square lattice
Iwan Jensen, Wellington G. Dantas, Carlos M. Marques +1
Using exact enumerations of self-avoiding walks (SAWs) we compute the inhomogeneous pressure exerted by a two-dimensional end-grafted polymer on the grafting line which limits a se…
The nematic-disordered phase transition in systems of long rigid rods on two dimensional lattices
Joyjit Kundu, R. Rajesh, Deepak Dhar +1
We study the phase transition from a nematic phase to a high-density disordered phase in systems of long rigid rods of length on the square and triangular lattices. We use an e…
Entropy of polydisperse chains: solution on the Husimi lattice
Minos A. Neto, Jürgen F. Stilck
We consider the entropy of polydisperse chains placed on a lattice. In particular, we study a model for equilibrium polymerization, where the polydispersivity is determined by two…
Self-avoiding walks on a bilayer Bethe lattice
Pablo Serra, Jürgen F. Stilck
We propose and study a model of polymer chains in a bilayer. Each chain is confined in one of the layers and polymer bonds on first neighbor edges in different layers interact. We…
Solution on the Bethe lattice of a hard core athermal gas with two kinds of particles
T. J. Oliveira, J. F. Stilck
Athermal lattice gases of particles with first neighbor exclusion have been studied for a long time as simple models exhibiting a fluid-solid transition. At low concentration the p…
Bethe approximation for a system of hard rigid rods: the random locally tree-like layered lattice
Deepak Dhar, R. Rajesh, Jürgen F. Stilck
We study the Bethe approximation for a system of long rigid rods of fixed length k, with only excluded volume interaction. For large enough k, this system undergoes an isotropic-ne…
Bethe lattice solution of a model of SAW's with up to 3 monomers per site and no restriction
T. J. Oliveira, J. F. Stilck
In the multiple monomers per site (MMS) model, polymeric chains are represented by walks on a lattice which may visit each site up to K times. We have solved the unrestricted versi…
Solution of an associating lattice gas model with density anomaly on a Husimi lattice
T. J. Oliveira, J. F. Stilck, M. A. A. Barbosa
We study a model of a lattice gas with orientational degrees of freedom which resemble the formation of hydrogen bonds between the molecules. In this model, which is the simplified…
Grand canonical and canonical solution of self-avoiding walks with up to three monomers per site on the Bethe lattice
T. J. Oliveira, J. F. Stilck, P. Serra
We solve a model of polymers represented by self-avoiding walks on a lattice which may visit the same site up to three times in the grand-canonical formalism on the Bethe lattice.…
Simulational study for the crossover in the generalized contact process with diffusion
W. G. Dantas, M. J. de Oliveira, J. F. Stilck
In a recent work, Dantas and Stilck studied a model that generalizes the contact process model with diffusion. Our approach, based on the supercritical expansion, showed that for a…