# Condensation in continuous stochastic mass transport models

## TL;DR

This paper investigates condensation phenomena in continuous stochastic mass transport models on a one-dimensional lattice, introducing new process variations, analyzing phase diagrams, and exploring conditions for phase transitions and ergodicity breaking.

## Contribution

It introduces a generalized truncated random average process with a new parameter, expanding understanding of phase behavior and condensation in stochastic mass transport models.

## Key findings

- New phase diagram in the $
ho-\gamma$ plane with multiple phases
- Conditions for condensation transition derived using extreme value theory
- Possible explanation for broken ergodicity in truncation processes

## Abstract

We study the dynamics of condensation for a stochastic continuous mass transport process defined on a one-dimensional lattice. Specifically we introduce three different variations of the truncated random average process. We generalize hereby the regular truncated process by introducing a new parameter $\gamma$ and derive a rich phase diagram in the $\rho-\gamma$ plane where several new phases next to the condensate or fluid phase can be observed. Lastly we use an extreme value approach in order to describe the conditions of a condensation transition in the thermodynamic limit. This leads us to a possible explanation of the broken ergodicity property expected for truncation processes.