Lennard-Jones PVT System Model
written by Wolfgang Christian
The Lennard-Jones PVT System simulates a 2D system of particles confined between a thermal reservoir and a piston. This computer model is designed to study the equation of state for particles interacting via a simple but realistic molecular potential that has a weak long-range attraction and a strong short range repulsion. Slow-moving particles are color-coded as blue and fast particles are color-coded as yellow. Users can set the initial particle energy, the initial particle separation, and the thermal reservoir temperature Tr. The thermal conductivity parameter ? determines the probability that a collision with the thermal wall will affect (thermalize) the colliding particle. If the conductivity is one, the particle velocity after a reservoir collision is set according to Maxwell-Boltzmann statistics. If the conductivity is zero, all reservoir collisions are elastic and the total internal energy E of the system is conserved.
The piston input fields in the bottom panel are used to compress and expand the system. Users can approximate an adiabatic compression by setting ?=0 and can approximate an isothermal compression by setting ?=1. The piston speed must, of course, be small to insure that the system remains in equilibrium during the compression for a (quasi-static approximation) reversible process. Separate windows allow users to follow the change in state of the system on a PV plot or a time evolution plot.
The Lennard-Jones PVT model is a supplemental simulation for the article "Pressure Oscillations in Adiabatic Compression" by Roland Stout in The Physics Teacher 49(5), 280-281 (2011) and has been approved by the author and The Physics Teacher editor. The model was developed using the Easy Java Simulations (Ejs) modeling tool and is distributed as a ready-to-run (compiled) Java archive. Double clicking the ejs_stp_md_LennardJonesPVTSystem.jar file will run the program if Java is installed.
Please note that this resource requires at least version 1.5 of Java.
AAAS Benchmark Alignments (2008 Version)
4. The Physical Setting
4E. Energy Transformations
AAAS Benchmark Alignments (1993 Version)
4. THE PHYSICAL SETTING
E. Energy Transformations
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Lennard-Jones PVT System Model:
Is Based On Easy Java Simulations Modeling and Authoring Tool
The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Lennard-Jones PVT System Model.relation by Wolfgang Christian
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