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Euclid
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Can someone give an example of how to compute the "thermodynamic limit" of some model? I am very confused by this concept.
mrandersdk said:I guess it is just making the number of particles in your system infinity, then depending on what you desripe you have to make som restrains on how you take this limit, one example could be to keep the density if the system constant that is, when N -> inf, the vomule go to infinity to in such a way that N/V is constant.
This can seems strange because we never going to have a infinity large system with infinity volume, but this is a good aproximation of a system that have particle numbers in the range of avogadros number and a volume there is a lot bigger than the particles in the system.
The thermodynamic limit is a concept in statistical mechanics that refers to the behavior of a system as the number of particles or degrees of freedom approaches infinity. In this limit, the macroscopic properties of the system become independent of the microscopic details and can be described by simple, general laws.
The thermodynamic limit is important in computing and understanding models because it allows us to make simplifying assumptions and use mathematical techniques to analyze large systems. By taking the limit of an infinitely large system, we can gain insight into the behavior of complex systems and make predictions about their properties.
Some common models that use the thermodynamic limit include the Ising model, the ideal gas model, and the lattice gas model. These models are used to study a variety of physical phenomena, such as phase transitions, critical phenomena, and thermodynamic properties of materials.
The thermodynamic limit is typically computed using mathematical techniques, such as statistical mechanics and thermodynamics. These methods involve taking the limit of a large number of particles or degrees of freedom and using statistical averages to describe the behavior of the system.
The thermodynamic limit is important in scientific research because it allows us to understand and analyze the behavior of complex systems. By taking the limit of an infinitely large system, we can make predictions about the macroscopic properties of the system and gain insight into its behavior. This is crucial in fields such as physics, chemistry, and materials science.