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Investigation of magnetic field effect on surface and finite-site free energy in one-dimensional Ising model of nanosystems

Taherkhani, F ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1080/01411594.2010.548755
  3. Publisher: 2011
  4. Abstract:
  5. We investigate a one-dimensional (1-D) Ising model for finite-site systems. The finite-site free energy and the surface free energy are calculated via the transfer matrix method. We show that, at high magnetic fields, the surface free energy has an asymptotic limit. The absolute surface energy increases when the value of f (the ratio of magnetic field to nearest-neighbor interactions) increases, and for f ≥10 approaches a constant value. For the values of f ≥0.2, the finite-site free energy also increases, but slowly. The thermodynamic limit in which physical properties approach the bulk value is also explored
  6. Keywords:
  7. Nanostructures ; Asymptotic limits ; Bulk value ; Finite-size free energy ; High magnetic fields ; Nearest-neighbor interactions ; One-dimensional Ising model ; Surface energies ; Surface free energy ; Thermodynamic limits ; Ising model ; Magnetic fields ; Magnetic materials ; Nanosystems ; Surface chemistry ; Surfaces ; Transfer matrix method ; Free energy
  8. Source: Phase Transitions ; Volume 84, Issue 7 , Dec , 2011 , Pages 613-623 ; 01411594 (ISSN)
  9. URL: http://www.tandfonline.com/doi/abs/10.1080/01411594.2010.548755?journalCode=gpht20