23.6k citations
- Centre National de la Recherche ScientifiqueFR89 papers
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17 papers · 1 filter
Random knotting in very long off-lattice self-avoiding polygons
Jason Cantarella, Tetsuo Deguchi, Henrik Schumacher +2
We present experimental results on knotting in off-lattice self-avoiding polygons in the bead-chain model. Using Clisby's tree data structure and the scale-free pivot algorithm, fo…
Efficient Microcanonical Histogram Analysis and Application to Peptide Aggregation
Michael Bachmann
A novel approach designed to directly estimate microcanonical quantities from energy histograms is proposed, which enables the immediate systematic identification and classificatio…
Universal energy and magnetisation distributions in the Blume-Capel and Baxter-Wu models
A. R. S. Macedo, J. A. Plascak, A. Vasilopoulos +3
We analyse the probability distribution functions of the energy and magnetisation of the two-dimensional Blume-Capel and Baxter-Wu models with spin values in…
A faster direct sampling algorithm for equilateral closed polygons and the probability of knotting
Jason Cantarella, Henrik Schumacher, Clayton Shonkwiler
We present a faster direct sampling algorithm for random equilateral closed polygons in three-dimensional space. This method improves on the moment polytope sampling algorithm of C…
Evidence for additional third-order transitions in the two-dimensional Ising model
Kedkanok Sitarachu, Michael Bachmann
We employ the microcanonical inflection-point analysis method, developed for the systematic identification and classification of phase transitions in systems of any size, to study…
Exact microcanonical statistical analysis of transition behavior in Ising chains and strips
Kedkanok Sitarachu, Royce K. P. Zia, Michael Bachmann
Recent analyses of least-sensitive inflection points in derivatives of the microcanonical entropy for the two-dimensional Ising model revealed higher-order transition signals in ad…