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Dynamics of vortex fronts in type II superconductors

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Dynamics of vortex fronts in type II superconductors

Baggio, C.

Citation

Baggio, C. (2005, November 22). Dynamics of vortex fronts in type II superconductors. Retrieved from

https://hdl.handle.net/1887/3747

Version: Corrected Publisher’s Version License:

Licence agreement concerning inclusion of doctoral thesis in the Institutional Repository of the University of Leiden

Downloaded from: https://hdl.handle.net/1887/3747

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Stellingen

belonging to the thesis

Dynamics of vortex fronts in type II superconductors

1. The absence of a positive surface tension at the interface of a domain of vor-tices with the superconducting state, due to the inter-vortex repulsive interaction, makes the study of patterns in type II superconductors non-conventional.

This thesis, Chapter 2.

2. The shape of vortex finger-like patterns is well-defined and their width increases with the temperature of the sample.

This thesis, Chapter 2.

3. The in-plane anisotropy of the sample can not be considered the cause for the turbulent behavior at the boundaries between flux and anti-flux in type II super-conductors.

This thesis, Chapter 3.

4. Initially shape-preserving vortex fingers in type II superconductors can become unstable and evolve into other forms.

This thesis, Chapter 4.

5. The equivalence between discrete lattice deposition models and continuous equa-tions for surface growth can be proven through a proper expansion of the master equation.

[C. Baggio, R. Vardavas, and D. D. Vvedensky, Phys. Rev E 64, 045103 (2001)]. 6. When a front propagates from a stable into an unstable state, a constant speed is dynamically selected. However, when a non-zero magnetic field is applied in a type I superconductor, the dynamics of a moving planar interface between the superconducting and normal states is diffusive.

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8. The formal difference between the Schrödinger equation for a free particle and the diffusion equation is only the complex number i . This difference, however, changes completely the dynamics which is described.

9. When the common opinion is based primarily on subjective mass media reports, democracy becomes illusory.

10. Solving problems is laudable, inventing them is masochistic.

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