Amongst intensive variables, this is a unique property of temperature.
2.
Examples of such intensive variables are temperature, pressure, chemical potential.
3.
Through it, by use of intensive variables.
4.
The intensive variable is called the chemical potential; for component substance it is usually denoted.
5.
Legendre transformation is necessary because mere substitutive replacement of extensive variables by intensive variables does not lead to thermodynamic potentials.
6.
Intensive variables other than temperature will in general be non-uniform if the external force field is non-zero.
7.
This approach assumes spatial and temporal continuity and even differentiability of locally defined intensive variables such as temperature and internal energy density.
8.
The thermodynamic force is always an intensive variable and the displacement is always an extensive variable, yielding an extensive energy transfer.
9.
To be more specific, the composition of each phase is determined by intensive variables ( such as mole fractions ) in each phase.
10.
For such a system, only two independent intensive variables are sufficient to derive all the others by use of an equation of state.
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