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We discuss a scaling theory of the lattice response in the vicinity of afinite-temperature critical end point. The thermal expansivity is shown to bemore singular than the specific heat such that the Gr\"uneisen ratio divergesas the critical point is approached, except for its immediate vicinity. Moregenerally, we express the thermal expansivity in terms of a scaling functionwhich we explicitly evaluate for the two-dimensional Ising universality class.Recent thermal expansivity measurements on the layered organic conductorkappa-(BEDT-TTF)_2 X close to the Mott transition are well described by ourtheory.

Scaling theory of the Mott transition and breakdown of the Gr\"uneisen scaling near a finite-temperature critical end point