Is Gibbs free energy ever relevant for particle physics?

In summary, all known processes in QFT are reversible at the microscopic level, which is why Gibbs free energy is not commonly used in particle physics equations. However, there are quantum field theoretical analogs of Helmholtz and Gibbs free energy that are used in cosmology to explain processes involving large numbers of particles. These analogs are known as generating functionals and effective actions, but they are not statistical objects and are only used as an analogy to free energies.
  • #1
Simfish
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And are reactions in particle physics reversible at all?

If so, why don't we ever see Gibbs free energy used in particle physics equations?
 
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  • #2
It's used in discussions about neutron stars.
 
  • #3
Simfish said:
And are reactions in particle physics reversible at all?

All known processes in QFT are completely reversible at the microscopic level.

If so, why don't we ever see Gibbs free energy used in particle physics equations?

Because it is a statistical concept that applies to systems of large numbers of particles. Those concepts, including entropy, don't apply to microscopic processes involving a handful of particles.

If you wish to see thermodynamic principles applied to particle physics, one place to look would be in the context of cosmology where particle physics reaction rates are applied to things like nucleosynthesis and recombination. The proper explanation of these involves large numbers of particles undergoing reversible reactions many times in both directions. It makes sense to define a temperature for these systems and thermodynamic considerations drive the equilibrium configuration.
 
  • #4
fzero has given a good answer, but let me add there actually exist quantum field theoretical analogs of Helmholtz and Gibbs free energy going under the names of generating functionals and effective actions. But they are of course not statistical objects and only analog to free energies.
 

1. What is Gibbs free energy?

Gibbs free energy, also known as the Gibbs function, is a thermodynamic quantity used to determine the maximum amount of work that can be extracted from a system at a constant temperature and pressure. It takes into account both the system's internal energy and entropy.

2. How is Gibbs free energy relevant to particle physics?

Gibbs free energy is not directly relevant to particle physics since it is used to study macroscopic systems. However, it can be applied to certain aspects of particle physics, such as the thermodynamics of quark-gluon plasmas or the phase transitions of the early Universe.

3. How is Gibbs free energy calculated?

Gibbs free energy is calculated using the equation: G = H - TS, where G is the Gibbs free energy, H is the enthalpy, T is the temperature, and S is the entropy. It can also be calculated using other thermodynamic quantities such as internal energy and Helmholtz free energy.

4. Can Gibbs free energy be negative?

Yes, Gibbs free energy can be negative, which indicates that the system is thermodynamically favorable and can spontaneously undergo a reaction or phase transition. A negative value of Gibbs free energy is also known as a negative free energy change.

5. What is the relationship between Gibbs free energy and chemical reactions?

Gibbs free energy is used to determine the spontaneity of a chemical reaction. If the Gibbs free energy change is negative, the reaction is exergonic and can proceed spontaneously. If it is positive, the reaction is endergonic and requires an input of energy to occur. The equilibrium constant of a reaction can also be determined using Gibbs free energy.

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