Exact energy spectrum of a two-temperature kinetic Ising model

Details Exact energy spectrum of a two-temperature kinetic Ising model Exact energy spectrum of a two-temperature kinetic Ising model

2009-09-03

arxiv.org/abs/0909.0640v2

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

The exact energy spectrum is developed for a two temperature kinetic Ising spin chain, and its dual reaction diffusion system with spatially alternating pair annihilation and creation rates. Symmetries of the system pseudo-Hamiltonian that enable calculation of the spectrum are also used to derive explicit state vectors for small system sizes, and to make observations regarding state vectors in the general case. Physical consequences of the surprisingly simple form for the eigenvalues are also discussed.

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