8 papers
Perturbative solution to the SIS epidemic on networks
Lloyd P. Sanders, Bo Söderberg, Dirk Brockmann +1
Herein we provide a closed form perturbative solution to a general -node network SIS model using the transport rates between nodes as a perturbation parameter. We separate the d…
Statistical Properties of Unrestricted Crew Scheduling Problems
M. Lagerholm, C. Peterson, B. Söderberg
A statistical analysis is performed for a random unrestricted local crew scheduling problem, expressed in terms of pairing arrivals with departures. The analysis is aimed at unders…
The Electrostatic Persistence Length Calculated from Monte Carlo, Variational and Perturbation Methods
M. Ullner, B. Jönsson, C. Peterson +2
Monte Carlo simulations and variational calculations using a Gaussian ansatz are applied to a model consisting of a flexible linear polyelectrolyte chain as well as to an intrinsic…
A Variational Approach to the Structure and Thermodynamics of Linear Polyelectrolytes with Coulomb and Screened Coulomb Interactions
B. Jönsson, C. Peterson, B. Söderberg
A variational approach, based on a discrete representation of the chain, is used to calculate free energy and conformational properties in polyelectrolytes. The true bond and Coulo…
Scaling and Scale Breaking in Polyelectrolyte
Carsten Peterson, Ola Sommelius, Bo Söderberg
We consider the thermodynamics of a uniformly charged polyelectrolyte with harmonic bonds. For such a system there is at high temperatures an approximate scaling of global properti…
Titrating Polyelectrolytes - Variational Calculations and Monte Carlo Simulations
B. Jönsson, M. Ullner, C. Peterson +2
Variational methods are used to calculate structural and thermodynamical properties of a titrating polyelectrolyte in a discrete representation. The Coulomb interactions are emulat…