Math 2.0

Classical thermodynamics, heat transfer Definition

Quasistatic process

Builds on Thermodynamic stateThermodynamic equilibrium

Definition

Let 𝒮\mathcal{S} be the set of equilibrium states of a thermodynamic system Σ\Sigma. A process of Σ\Sigma is quasistatic if Σ\Sigma is in an equilibrium state at every time of the process. Such a process is described by a continuous curve γ ⁣:[0,1]→𝒮\gamma \colon [0, 1] \to \mathcal{S}.

Remarks

Expanding a gas in a cylinder very slowly against a piston, at each moment balancing the gas pressure, is quasistatic. The free expansion of a gas into a vacuum, after a wall is removed, is not quasistatic. During it, the gas is not in an equilibrium state, so it has no well-defined pressure. A quasistatic process need not be reversible: slow expansion against a piston with friction is quasistatic but dissipates energy.

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  1. Thermodynamic equilibrium concept
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Further reading

  1. Web https://en.wikipedia.org/wiki/Quasistatic_process
About this page
TagXY4P76C13P
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Kinddefinition
WritingW0 stub
MSC80A05, 80A10
DefinesQuasistatic process
UsesThermodynamic state, Thermodynamic equilibrium
Changed3 November 2026

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