Critical exponents - experimental values

In summary, critical exponents are numerical values that describe the behavior of physical systems at a critical point, and they are important in experimental values because they help us understand and predict the behavior of a system near its critical point. They are determined experimentally by comparing theoretical predictions to measurements of physical properties. Critical exponents can vary between different systems and the value of 1/2 is significant in systems with second-order phase transitions. They are considered universal, meaning they are independent of the specific details of the system.
  • #1
idmena
14
0
Hi all!

For a talk I want to compare the values of the critical exponents found by Wilson and Fisher in their \epsilon = 1 paper (10.1103/PhysRevLett.28.240), with the experimental values measured up-to-date.

Can anyone provide a source for these measured values (\gamma, \nu, \eta)?

Thanks!
Regards
 
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  • #2
Nevermind, I found a very complete and nice review with the information I needed:
http://dx.doi.org/10.1016/S0370-1573(02)00219-3 [Broken]
In case anyone needs it

Regards
 
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1. What are critical exponents and why are they important in experimental values?

Critical exponents are numerical values that describe the behavior of physical systems at a critical point, where a phase transition occurs. They are important in experimental values because they allow us to understand and predict the behavior of a system near its critical point, which is crucial in many areas of science such as material science, condensed matter physics, and statistical mechanics.

2. How are critical exponents determined experimentally?

Critical exponents are determined experimentally by measuring the physical properties of a system at different temperatures near its critical point. These measurements are then compared to theoretical predictions based on the critical exponents, and the values that best fit the experimental data are determined.

3. Can critical exponents vary between different systems?

Yes, critical exponents can vary between different systems. They are specific to the type of phase transition and the underlying physical properties of the system. For example, critical exponents for a liquid-gas phase transition will be different from those for a magnetic phase transition.

4. What is the significance of the critical exponent value of 1/2?

The critical exponent value of 1/2 is significant because it is associated with the behavior of physical systems near a second-order phase transition. This means that certain physical properties of the system, such as its correlation length, will diverge as the critical point is approached, and the divergence will follow a power law with an exponent of 1/2.

5. Are critical exponents universal?

Yes, critical exponents are considered to be universal, meaning that they are independent of the specific details of the system. This is because they are determined by the symmetry of the system and the dimensionality of space, rather than its microscopic details. Therefore, systems with different microscopic properties but the same symmetry and dimensionality will have the same critical exponents.

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