Paper Citation Record · LEDGER

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study

As of 21 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2509.10565.

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pith.paper-citation-record.v1
2509.10565 v1

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Outbound references

Observation 4400497e-e953-4d51-8c8e-a98041614cc8 · outbound

This paper cites Simultaneous Multiphase Flash and Stability Analysis Calculations Including Solid CO2 for CO2–CH4, CO2–CH4–N2, and CO2–CH4–N2–O2 Mixtures.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Simultaneous Multiphase Flash and Stability Analysis Calculations Including Solid CO2 for CO2–CH4, CO2–CH4–N2, and CO2–CH4–N2–O2 Mixtures

Reference 1

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This paper cites A Complementarity‐based Vapor‐liquid Equilibrium Formulation for Equation‐ oriented Simulation and Optimization.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study A Complementarity‐based Vapor‐liquid Equilibrium Formulation for Equation‐ oriented Simulation and Optimization

Reference 2

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This paper cites The State of the Cubic Equations of State.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study The State of the Cubic Equations of State

Reference 3

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This paper cites Multiparameter Equations of State.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Multiparameter Equations of State

Reference 4

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This paper cites Force Field Comparison and Thermodynamic Property Calculation of Supercritical CO2 and CH4 Using Molecular Dynamics Simulations.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Force Field Comparison and Thermodynamic Property Calculation of Supercritical CO2 and CH4 Using Molecular Dynamics Simulations

Reference 5

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This paper cites Pure and Pseudo-Pure Fluid Thermophysical Property Evaluation and the Open-Source Thermophysical Property Library CoolProp.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Pure and Pseudo-Pure Fluid Thermophysical Property Evaluation and the Open-Source Thermophysical Property Library CoolProp

Reference 6

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Unresolved cited work

Reference 7

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This paper cites Fast and Uncertainty-Aware Directional Message Passing for Non-Equilibrium Molecules.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Fast and Uncertainty-Aware Directional Message Passing for Non-Equilibrium Molecules

Reference 8

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This paper cites Open Catalyst 2020 (OC20) Dataset and Community Challenges.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Open Catalyst 2020 (OC20) Dataset and Community Challenges

Reference 9

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This paper cites The Development of Thermodynamically Consistent and Physics -Informed Equation-of-State Model through Machine Learning.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study The Development of Thermodynamically Consistent and Physics -Informed Equation-of-State Model through Machine Learning

Reference 10

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This paper cites Efficient Evaluation of Vapour–Liquid Equilibria from Multi-Parameter Thermodynamic Models Using Differential Algebra.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Efficient Evaluation of Vapour–Liquid Equilibria from Multi-Parameter Thermodynamic Models Using Differential Algebra

Reference 11

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This paper cites Thermodynamic Modeling with Equations of State: Present Challenges with Established Methods.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Thermodynamic Modeling with Equations of State: Present Challenges with Established Methods

Reference 12

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This paper cites Measurement and Correlation of the (p,ρ,T) Relation of Nitrogen. I. The Homogeneous Gas and Liquid Regions in the Temperature Range from 66 K to 340 K at Pressures up to 12 MPa.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Measurement and Correlation of the (p,ρ,T) Relation of Nitrogen. I. The Homogeneous Gas and Liquid Regions in the Temperature Range from 66 K to 340 K at Pressures up to 12 MPa

Reference 13

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Observation 2330a700-e4d7-4c03-b7b4-c06dc6dcb405 · outbound

This paper cites Gibbs–Duhem-Informed Neural Networks for Binary Activity Coefficient Prediction.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Gibbs–Duhem-Informed Neural Networks for Binary Activity Coefficient Prediction

Reference 14

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This paper cites Progress and Challenges of Integrated Machine Learning and Traditional Numerical Algorithms: Taking Reservoir Numerical Simulation as an Example.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Progress and Challenges of Integrated Machine Learning and Traditional Numerical Algorithms: Taking Reservoir Numerical Simulation as an Example

Reference 15

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This paper cites XGBoost and Physical-Informed Neural Networks as Surrogate Models for VLE and LLE in PC-SAFT.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study XGBoost and Physical-Informed Neural Networks as Surrogate Models for VLE and LLE in PC-SAFT

Reference 16

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This paper cites The GERG-2008 Wide-Range Equation of State for Natural Gases and Other Mixtures: An Expansion of GERG-2004.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study The GERG-2008 Wide-Range Equation of State for Natural Gases and Other Mixtures: An Expansion of GERG-2004

Reference 17

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Unresolved cited work

Reference 18

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This paper cites Overview of Common Thermophysical Property Modelling Approaches for Cryogenic Fluid Simulations at Supercritical Conditions.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Overview of Common Thermophysical Property Modelling Approaches for Cryogenic Fluid Simulations at Supercritical Conditions

Reference 19

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Unresolved cited work

Reference 20

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Fast Parallel Algorithms for Short-Range Molecular Dynamics

Reference 21

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This paper cites Machine-Learned Interatomic Potentials by Active Learning: Amorphous and Liquid Hafnium Dioxide.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Machine-Learned Interatomic Potentials by Active Learning: Amorphous and Liquid Hafnium Dioxide

Reference 22

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Graph Neural Network-Based Molecular Property Prediction with Patch Aggregation

Reference 23

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Unresolved cited work

Reference 24

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Graph Neural Networks for Molecular and Materials Representation

Reference 25

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This paper cites Thermodynamic Properties of 2,3,3,3-Tetrafluoroprop-1-Ene (R1234yf): Vapor Pressure and p–ρ–T Measurements and an Equation of State.

Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Thermodynamic Properties of 2,3,3,3-Tetrafluoroprop-1-Ene (R1234yf): Vapor Pressure and p–ρ–T Measurements and an Equation of State

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study A Fundamental Equation of State for the Calculation of Thermodynamic Properties of Chlorine

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Directional Message Passing for Molecular Graphs

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Directional Message Passing on Molecular Graphs via Synthetic Coordinates

Reference 29

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Integrating Scientific Knowledge with Machine Learning for Engineering and Environmental Systems

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Towards Foundation Models for Scientific Machine Learning: Characterizing Scaling and Transfer Behavior

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Adam: A Method for Stochastic Optimization

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Robust Estimation of a Location Parameter

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Thermodynamics and an Introduction to Thermostatistics, 2nd Ed

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Butterworths Monographs in Chemistry

Reference 35

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study “Molecular Thermodynamics of Fluid‐phase Equilibria by John M

Reference 36

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Multiphase Equilibrium Flash Calculations

Reference 37

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study The Isothermal Flash Problem. Part I. Stability

Reference 38

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Assessing the Limits of Graph Neural Networks for Vapor-Liquid Equilibrium Prediction: A Cryogenic Mixture Case Study Unresolved cited work

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