# On a modified Becker-Doering model for two-phase materials

## TL;DR

This paper introduces a modified Becker-Doering model for two-phase materials that incorporates phase-dependent condensation and evaporation rates, providing a thermodynamically consistent framework for nucleation with phase transitions.

## Contribution

It develops a new thermodynamically consistent model for nucleation in two-phase materials with phase-dependent rates and proves existence, uniqueness, and equilibrium characterization.

## Key findings

- Existence and uniqueness of weak solutions established.
- Equilibrium states characterized via response functions.
- Model incorporates phase-dependent condensation and evaporation rates.

## Abstract

This work reconsiders the Becker-Doering model for nucleation under isothermal conditions in the presence of phase transitions. Based on thermodynamic principles a modified model is derived where the condensation and evaporation rates may depend on the phase parameter. The existence and uniqueness of weak solutions to the proposed model are shown and the corresponding equilibrium states are characterized in terms of response functions and constitutive variables.