8 papers
Low Temperature Properties of the Random Field Potts Chain
Raja Paul, Mikko Alava, Heiko Rieger
The random field q-States Potts model is investigated using exact groundstates and finite-temperature transfer matrix calculations. It is found that the domain structure and the Ze…
Kinetic Roughening in Slow Combustion of Paper
M. Myllys, J. Maunuksela, M. Alava +3
Results of experiments on the dynamics and kinetic roughening of one-dimensional slow-combustion fronts in three grades of paper are reported. Extensive averaging of the data allow…
Ground states versus low-temperature equilibria in random field Ising chains
G. Schröder, T. Knetter, M. J. Alava +1
We discuss with the aid of random walk arguments and exact numerical computations the magnetization properties of one-dimensional random field chains. The ground state structure is…
Ground-States of Two Directed Polymers
V. T. Petaja, M. J. Alava, H. Rieger
Joint ground states of two directed polymers in a random medium are investigated. Using exact min-cost flow optimization the true two-line ground-state is compared with the single…
Disorder, Order, and Domain Wall Roughening in the 2d Random Field Ising Model
E. T. Seppala, V. Petaja, M. J. Alava
Ground states and domain walls are investigated with exact combinatorial optimization in two-dimensional random field Ising magnets. The ground states break into domains above a le…
Chaos in the Random Field Ising Model
M. Alava, H. Rieger
The sensitivity of the random field Ising model to small random perturbations of the quenched disorder is studied via exact ground states obtained with a maximum-flow algorithm. In…