Abstract
In this work we consider the many triplet exciton states of molecular crystals. A model Hamiltonian, which is isomorphic to an anisotropic Heisenberg spin Hamiltonian axially symmetric about a uniform magnetic field, is introduced. This Hamiltonian can be viewed as a quasiparticle Hamiltonian in which the excitations are neither Fermion nor Boson but are so called Paulion operators. This Hamiltonian possesses conservation laws of exciton number and energy, and when Umklapp processes can be neglected it conserves exciton momentum. As a consequence of these conservation laws the long-wavelength collective behavior of triplets can be described by a picture very similar to ordinary particle hydrodynamics. However, because of kinematical differences it is necessary to introduce two additional transport coefficients.
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