Stationary States in Infinite Volume with Non-zero Current
Gioia Carinci (TU Delft - Electrical Engineering, Mathematics and Computer Science)
Cristian Giardinà (TU Delft - Electrical Engineering, Mathematics and Computer Science, Università Degli Studi di Modena e Reggio Emilia)
Errico Presutti (Grans Sasso Science Institute)
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Abstract
We study the Ginzburg–Landau stochastic models in infinite domains with some special geometry and prove that without the help of external forces there are stationary measures with non-zero current in three or more dimensions.
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