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Crossover between ordinary and normal transitions in two dimensional critical Ising films
A Maciołek1, A Ciach, A Drzewiński
1H. H. Wills Physics Laboratory, University of Bristol, Bristol BS8 1TL, United Kingdom.
Summary
We studied critical Ising films and found surface fields significantly alter magnetization profiles and solvation forces. These effects deviate from standard forms in a broad crossover region, revealing new scaling behaviors.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
- Surface Science
Background:
- Investigating two-dimensional critical Ising films with surface fields is crucial for understanding phase transitions.
- The crossover between ordinary and normal transitions in confined systems exhibits complex phenomena.
Purpose of the Study:
- To calculate magnetization profiles, excess magnetization, and solvation forces in critical Ising films.
- To analyze the influence of surface fields on these properties across different film widths (L).
Main Methods:
- Exact transfer-matrix diagonalization
- Density matrix renormalization-group (DMRG) methods
Main Results:
- Scaling functions deviate from asymptotic forms in a broad crossover region defined by LH21.
- A deep minimum in the solvation force scaling function was observed near LH21=1.
- Magnetization profiles and solvation force decay rates vary significantly with surface field strength (H1).
Conclusions:
- Surface fields induce distinct behaviors in Ising films, deviating from universal fixed-point predictions.
- The study provides detailed quantitative results for magnetization and solvation forces, crucial for experimental validation.
- DMRG results show excellent agreement with exact calculations, validating the methodology.