Numerical comparison of two approaches for the study of phase transitions in small systems
arXiv:cond-mat/0112050 · doi:10.1103/PhysRevE.65.036110
Abstract
We compare two recently proposed methods for the characterization of phase transitions in small systems. The validity and usefulness of these approaches are studied for the case of the q=4 and q=5 Potts model, i.e. systems where a thermodynamic limit and exact results exist. Guided by this analysis we discuss then the helix-coil transition in polyalanine, an example of structural transitions in biological molecules.
16 pages and 7 figures
References in corpus (1)
Cited by in corpus (13)
- Phase Transitions in Small Systems: Microcanonical vs. Canonical Ensembles
- Phase Transition Strength through Densities of General Distributions of Zeroes
- Non-analytic microscopic phase transitions and temperature oscillations in the microcanonical ensemble: An exactly solvable 1d-model for evaporation
- Solution effects and the order of the helix-coil transition in polyalanine
- Lee-Yang theory, high cumulants, and large-deviation statistics of the magnetization in the Ising model
- Critical and tricritical singularities from small-scale Monte Carlo simulations: The Blume-Capel model in two dimensions
- Helix Formation and Folding in an Artificial Peptide
- Density of Yang-Lee zeros for the Ising ferromagnet
- Logarithmic finite-size scaling correction to the leading Fisher zeros in the p-state clock model: A higher-order tensor renormalization group study
- Stripe-tetragonal phase transition in the 2D Ising model with dipole interactions: Partition-function zeros approach
- New methods to measure phase transition strength
- Phase transition properties via partition function zeros: The Blume-Capel ferromagnet revisited
- A Microcanonical Inflection Point Analysis via Parametric Curves and its Relation to the Zeros of the Partition Function