Ageing in bosonic particle-reaction models with long-range transport

TL;DR

This paper investigates ageing phenomena in bosonic particle-reaction models with Levy diffusion, deriving exact non-equilibrium exponents, scaling functions, and analyzing the fluctuation-dissipation ratio, highlighting similarities with spherical models and glasses.

Contribution

It provides the first exact analysis of ageing scaling functions and exponents in bosonic contact processes with Levy diffusion, extending understanding of non-equilibrium dynamics.

Findings

Exact non-equilibrium exponents and scaling functions derived.

Analysis of fluctuation-dissipation ratio behavior.

Identification of a passage time from quasi-stationary to ageing regime.

Abstract

Ageing in systems without detailed balance is studied in bosonic contact and pair-contact processes with Levy diffusion. In the ageing regime, the dynamical scaling of the two-time correlation function and two-time response function is found and analysed. Exact results for non-equilibrium exponents and scaling functions are derived. The behaviour of the fluctuation-dissipation ratio is analysed. A passage time from the quasi-stationary regime to the ageing regime is defined, in qualitative agreement with kinetic spherical models and p-spin spherical glasses.