  We here propose a new class of barotropic factor for matter, motivated by
properties of isotropic deformations of crystalline solids. Our approach is
dubbed Anton-Schmidt's equation of state and provides a non-vanishing, albeit
small, pressure term for matter. The corresponding pressure is thus
proportional to the logarithm of universe's volume, i.e. to the density itself
since $V\propto \rho^{-1}$. In the context of solid state physics, we
demonstrate that by only invoking standard matter with such a property, we are
able to frame the universe speed up in a suitable way, without invoking a dark
energy term by hand. Our model extends a recent class of dark energy paradigms
named \emph{logotropic} dark fluids and depends upon two free parameters,
namely $n$ and $B$. Within the Debye approximation, we find that $n$ and $B$
are related to the Gr\"uneisen parameter and the bulk modulus of crystals. We
thus show the main differences between our model and the logotropic scenario,
and we highlight the most relevant properties of our new equation of state on
the background cosmology. Discussions on both kinematics and dynamics of our
new model have been presented. We demonstrate that the $\Lambda$CDM model is
inside our approach, as limiting case. Comparisons with CPL parametrization
have been also reported in the text. Finally, a Monte Carlo analysis on the
most recent low-redshift cosmological data allowed us to place constraints on
$n$ and $B$. In particular, we found $n=-0.147^{+0.113}_{-0.107}$ and $B=3.54
\times 10^{-3}$.

General Relativity and Quantum Cosmology;Cosmology and Nongalactic Astrophysics;High Energy Physics - Theory