Finding the difference in Helmholtz free energy using thermodynamic integration

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Discussion Overview

The discussion focuses on the computational aspects of finding the difference in Helmholtz free energy using thermodynamic integration, particularly in the context of comparing real gases to ideal gases. Participants express interest in specific examples and simulations related to Lennard-Jones fluids.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant requests papers or Python simulations to illustrate the process of thermodynamic integration, specifically regarding the average of the derivative of coupled potential energy.
  • Another participant seeks clarification on whether the comparison is intended between a real gas and an ideal gas, and asks for specific scenarios to consider.
  • A participant confirms interest in a Lennard-Jones fluid and expresses difficulty in understanding how the integration process is performed.
  • A later reply requests a specific example of a physical system transitioning from an initial state to a final state to better understand the integration process.

Areas of Agreement / Disagreement

Participants generally agree on the interest in thermodynamic integration and its application to Lennard-Jones fluids, but there is no consensus on the specifics of the integration process or examples to illustrate it.

Contextual Notes

Participants have not provided detailed assumptions or definitions regarding the integration process, and there are unresolved questions about the specific scenarios and examples needed for clarification.

Who May Find This Useful

Researchers and students interested in computational thermodynamics, particularly those working with real gas models and Lennard-Jones fluids.

VVS2000
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TL;DR
Finding out difference in helmholtz free energy using thermodynamic integration by using a ideal gas system as reference and lennard jones system as our system of interest
If there any solved papers or even python simulations to find this please share
I understood the process of thermodynamic integration but computationally I want to see how this integration of average of derivative of coupled potential energy is done
 
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You want to compare the result for a real gas with that for an ideal gas, right? Any particular scenario you want to look at?
 
Chestermiller said:
You want to compare the result for a real gas with that for an ideal gas, right? Any particular scenario you want to look at?
Yeah for a lennard jones fluid, and basically I want to perform a computation of this integration process
But I am not able to understand how this integration is performed
 
VVS2000 said:
Yeah for a lennard jones fluid, and basically I want to perform a computation of this integration process
But I am not able to understand how this integration is performed
Please provide a specific example of a physical system passing from an initial state to final state.
 

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