Semenov's Parameter

Semenov's parameter is related to the critical temperature, ie at critical temperature the value of T will be denoted by Tc. When this is put into equation 3 it results in the following equation.

[Equation with T replaced by Tc]

Also from equation 4, the following approximations can be made.

[Approximation of equation 4]

Which results in

[Deriveration of above equation]

If this result is now put into equation 5, it will give to leading order and at criticality the following is true.

[Leading order criticality equation]

The Semenov parameter is defined as.

[Semenov's Parameter]

Combining equation 6 and equation 7 it can be shown that at criticality Semenov's parameter is therefore defined as.

[Semenov's parameter at criticality]

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