# Van der Waals Universe with Adiabatic Matter Creation

## TL;DR

This paper explores a cosmological model with van der Waals fluid and dust, incorporating adiabatic particle creation, analyzing its global dynamics and inflationary regimes through a reduced dynamical system.

## Contribution

It introduces a novel analysis of a three-component cosmological model with particle creation, reducing the system using a global first integral, and studies specific cases numerically.

## Key findings

- Existence of trajectories with temporary inflationary regimes.
- Reduction of the dynamical system to two components using a first integral.
- Numerical examples illustrating special cases of particle creation rates.

## Abstract

A FRWL cosmological model with perfect fluid comprising of van der Waals gas and dust has been studied in the context of dynamical analysis of a three-component autonomous non-linear dynamical system for the particle number density $n$, the Hubble parameter $H$, and the temperature $T$. Perfect fluid isentropic particle creation at rate proportional to an integer power $\alpha$ of $H$ has been incorporated. The existence of a global first integral allows the determination of the temperature evolution law and hence the reduction of the dynamical system to a two-component one. Special attention is paid to the cases of $\alpha = 2$ and $\alpha = 4$ and these are illustrated with numerical examples. The global dynamics is comprehensively studied for different choices of the values of the physical parameters of the model. Trajectories in the $(n, H)$ phase space are identified for which temporary inflationary regime exists.