Charge-velocity-dependent one-scale linear model

We apply a recently developed formalism to study the evolution of current-carrying string network under simple but generic assumption linear equation state. demonstrate that existence scaling solution with nontrivial current depends on expansion rate Universe, initial root-mean-square string, and available energy-loss mechanisms. find fast after radiation-matter equality will tend rapidly dilute any preexisting current, evolve towards standard Nambu-Goto (provided there are no external current-generating mechanisms). During radiation era, growth is possible provided conditions for generate relatively large and/or significant early damping. The can then achieve stable assuming currents be regulated by some leakage mechanism. potential networks in unlike expected matter could have interesting phenomenological consequences.