105 citations · 265 across the 26 of their papers we have counts for
5 papers · 1 filter
Fractality and Topology of Self-Avoiding Walks
Jiying Jia, Dieter W. Heermann
We have analyzed geometric and topological features of self-avoiding walks. We introduce a new kind of walk: the loop-deleted self-avoiding walk (LDSAW) motivated by the interactio…
A modified Potts model for the interaction of surface-attached polymer complexes
Marcel Hellmann, Youjin Deng, Matthias Weiss +1
We present a simple yet generic model for the behavior of a system of many surface-attached flexible polymers with rigid side chains. Beyond its potential application in describing…
Percolation in a Class of Band Structured Random Matrices
Dieter W. Heermann, Manfred Bohn
We define a class of random matrix ensembles that pertain to random looped polymers. Such random looped polymers are a possible model for bio-polymers such as chromatin in the cell…
Reconstruction of the Free Energy in the Metastable Region using the Path Ensemble
Armando Ticona Bustillos, Dieter W. Heermann, Claudette E. Cordeiro
By quenching into the metastable region of the three-dimensional Ising model, we investigate the paths that the magnetization (energy) takes as a function of time. We accumulate th…
Evidence for sharper than expected transition between metastable and unstable states
Dieter W. Heermann, Claudette E. Cordeiro
In mean-field theory, i.e. infinite-range interactions, the transition between metastable and unstable states of a thermodynamic system is sharp. The metastable and the unstable st…