  This paper describes dynamic and thermodynamic (at $T=0$) properties of
mesons in asymmetric matter in the framework of Chiral Perturbation Theory. We
consider a mesonic system at vanishing temperature with nonzero isospin
chemical potential and strangeness chemical potential and we study their effect
on the phase diagram. We also study meson masses and mixing in the resulting
normal phase, pion condensation phase and kaon condensation phase. We find
differences with previous papers regarding meson masses and mixing in the
condensed phases; the results presented here are supported by theory group
analysis and direct calculations. Pressure, density and equation of state of
the system at $T=0$ and nonzero $\mu_I$ are calculated, finding remarkable
agreement with analogue studies performed by lattice calculations.
