Exact multipoint and multitime correlation functions of a one-dimensional model of adsorption and evaporation of dimers

TL;DR

This paper presents an exact method to compute multipoint and multitime correlation functions in a one-dimensional dimer adsorption-evaporation model, analyzing their long-time behavior across different regimes.

Contribution

It introduces a novel exact approach for calculating correlation functions in a stochastic 1D dimer model with uncorrelated initial states.

Findings

Explicit two-point correlation functions derived.

Long-time behavior analyzed in various regimes.

Method applicable to similar stochastic models.

Abstract

In this work, we provide a method which allows to compute exactly the multipoint and multi-time correlation functions of a one-dimensional stochastic model of dimer adsorption-evaporation with random (uncorrelated) initial states. In particular explicit expressions of the two-point noninstantaneous/instantaneous correlation functions are obtained. The long-time behavior of these expressions is discussed in details and in various physical regimes.