D.M. Tomecka

Multistep radial melting in small two-dimensional classical clusters

D.M. Tomecka, B. Partoens, F.M. Peeters
Physical Review E
71, 4, 062401
2005
A1
Published while none of the authors were employed at the CMM

Abstract 

We report on a molecular dynamics study of small classical two-dimensional clusters with ringlike configurations. We focus on the particles motion at low temperatures before the radial and angular melting sets in. It is shown that in magic number configurations a local radial melting of subshells occur, which is related to the intershell rotation.

Two-step mean-field renormalization group results for the large square Ising clusters

G. Kamieniarz, G. Musial, D.M. Tomecka
Physica Status Solidi (b) - Basic Solid State Physics
236
2003
A1
Published while none of the authors were employed at the CMM

Abstract 

A transfer matrix approach has been worked out to test the predictions of the improved three-step mean-field renormalization group approach to square Ising clusters with linear size up to L = 11. Performing the asymptotic analysis, the convergence of the finite-size critical couplings and the critical exponents towards the exact values is shown.

Dr. Daria M. Tomecka

  • High-Throughput ab-initio electronic structure calculation software development;
  • Compound semiconductors and their electronic properties →method: HT-DFT;
  • Molecular Magnets; determination of the magnetic and electronic properties of model molecular magnets based on the molecules containing chromium ions; →method: ab-initio electronic structure calculation (Density Functional Theory);
  • 2D Coulomb Clusters, their structural and dynamic properties, in particular, the relation between magic configurations, local and radial melting of subshells and intershell rotation, the configurations in the ground and meta-stable states for various charges, as well as the new melting scenarios; →methods: Molecular Dynamics and Monte Carlo;
  • Critical properties of Ising model in the generalized mean-field approximation; →methods: transfer matrix and renormalization group.


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