  A re-entrant gas-liquid spinodal was proposed as a possible explanation of
the apparent divergence of the compressibility and specific heat on
supercooling water. Such a counter intuitive possibility, e.g. a liquid that
becomes unstable to gas-like fluctuations on cooling at positive pressure, has
never been observed, neither in real substances nor in off-lattice simulations.
More recently, such re-entrant scenario has been dismissed on the premise that
the re-entrant spinodal would collide with the gas-liquid binodal in the
pressure-temperature plane. Here we study, numerically and analytically, two
previously introduced one-component patchy particle models that both show (i) a
re-entrant spinodal and (ii) a re-entrant binodal, providing a neat in silico
(and in charta) realization of such unconventional thermodynamic scenario.
