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arXiv · 1802.00037

Dynamical universality of the contact process

Lucas Böttcher·Hans Jürgen Herrmann·Malte Henkel
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Abstract

The dynamical relaxation and scaling properties of three different variants of the contact process in two spatial dimensions are analysed. Dynamical contact processes capture a variety of contagious processes such as the spreading of diseases or opinions. The universality of both local and global two-time correlators of the particle-density and the associated linear responses are tested through several scaling relations of the non-equilibrium exponents and the shape of the associated scaling functions. In addition, the dynamical scaling of two-time global correlators can be used as a tool to improve on the determination of the location of critical points.

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Lucas Böttcher, Hans Jürgen Herrmann, Malte Henkel. 2017-12-19. Dynamical universality of the contact process. https://doi.org/10.1088/1751-8121/aaad6f

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