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5 papers · 1 filter
Cosmic strings in a space-time with positive cosmological constant
Yves Brihaye, Betti Hartmann
We study Abelian strings in a fixed de Sitter background. We find that the gauge and Higgs fields extend smoothly across the cosmological horizon and that the string solutions have…
The logarithmic equation of state for superconducting cosmic strings
Betti Hartmann, Brandon Carter
This investigation follows up the suggestion that the equation of state for superconducting cosmic strings provided by Witten's prototype biscalar field model can be well represent…
Criticality of spreading dynamics in hierarchical cluster networks without inhibition
Marcus Kaiser, Matthias Goerner, Claus C. Hilgetag
An essential requirement for the representation of functional patterns in complex neural networks, such as the mammalian cerebral cortex, is the existence of stable network activat…
3D meshfree magnetohydrodynamics
S. Rosswog, D. J. Price
We describe a new method to include magnetic fields into smooth particle hydrodynamics. The derivation of the self-gravitating hydrodynamics equations from a variational principle…
A refined version of the Lang-Trotter Conjecture
Stephan Baier, Nathan Jones
Let be an elliptic curve defined over the rational numbers and a fixed integer. Using a probabilistic model consistent with the Chebotarev theorem for the division fields o…