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String Evolution with Friction
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abstract
We study the effects of friction on the scaling evolution of string networks in condensed matter and cosmological contexts. We derive a generalized `one-scale' model with the string correlation length $L$ and velocity $v$ as dynamical variables. In non-relativistic systems, we obtain a well-known $L\propto t^{1/2}$ law, showing that loop production is important. For electroweak cosmic strings, we show transient damped epoch scaling with $L\propto t^{5/4}$ (or, in the matter era, $L\propto t^{3/2}$). A low initial density implies an earlier period with $L\propto t^{1/2}$. For GUT strings, the approach to linear scaling $L\propto t$ is faster than previously estimated.
Forward citations
Cited by 4 Pith papers
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Metastable cosmic strings are broken at the start
Metastable cosmic-string networks are typically broken within a Hubble time of formation by finite-temperature effects or by pre-existing monopoles, so matching NANOGrav requires m_M^2/μ ≳ 10^3.
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Cosmic string gravitational wave backgrounds at LISA: I. Signal survey, template reconstruction, and model comparison
As provided, the manuscript body (random lasing) does not correspond to the abstract (cosmic string gravitational wave backgrounds at LISA), leaving the abstract's quantitative claims unsupported by any accessible text.
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Magnetic monopoles and high frequency gravitational waves from quasi-stable strings
SO(10) breaking through flipped SU(5) or Pati-Salam subgroups can produce GUT monopoles from merging monopole-antimonopole pairs, while the intervening quasi-stable strings emit gravitational waves from Hz to kHz.
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C-parity, magnetic monopoles and higher frequency gravitational waves
The C-string-wall network from SO(10) breaking with unbroken C-parity produces a gravitational wave background peaking between 100 Hz and 100 kHz for intermediate breaking scales around 10^10 to 10^12 GeV.
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