Math 2.0

Classical thermodynamics, heat transfer Definition

Thermodynamic state

Builds on Thermodynamic system

Definition

Let Σ\Sigma be a thermodynamic system. A state variable of Σ\Sigma is a macroscopic quantity of Σ\Sigma that can be measured at a given time. Examples are pressure, volume, temperature and amount of substance. The thermodynamic state of Σ\Sigma at a given time is the list of values of its state variables at that time. For a system in equilibrium, the state is fixed by finitely many independent state variables. All other state variables are then functions of them.

Remarks

For a fixed amount of a simple fluid in equilibrium, the pressure p>0p > 0 and the volume V>0V > 0 determine the state. The temperature is then a function of (p,V)(p, V), given by the equation of state. The full list of positions and velocities of the molecules is not a thermodynamic state: it is a microscopic state, and many such microstates correspond to the same thermodynamic state. The thermodynamic state is also called the macrostate.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Thermodynamic_state
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MSC80A05, 80A10
DefinesThermodynamic state
UsesThermodynamic system
Changed3 November 2026

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