  We study transport properties of a parity-odd, non-relativistic charged fluid
in presence of background electric and magnetic fields. To obtain stress tensor
and charged current for the non-relativistic system we start with the most
generic relativistic fluid, living in one higher dimension and reduce the
constituent equations along the light-cone direction. We also reduce the
equation satisfied by the entropy current of the relativistic theory and obtain
a consistent entropy current for the non-relativistic system (we call it
"canonical form" of the entropy current). Demanding that the non-relativistic
fluid satisfies the second law of thermodynamics we impose constraints on
various first order transport coefficients. For parity even fluid, this is
straight forward; it tells us positive definiteness of different transport
coefficients like viscosity, thermal conductivity, electric conductivity etc.
However for parity-odd fluid, canonical form of the entropy current fails to
confirm the second law of thermodynamics. Therefore, we need to add two
parity-odd vectors to the entropy current with arbitrary coefficients. Upon
demanding the validity of second law, we see that one can fix these two
coefficients exactly.
