Exact energy spectrum of a two-temperature kinetic Ising model.
We develop the exact energy spectrum for a two-temperature kinetic Ising spin chain and its dual reaction-diffusion system with spatially alternating pair annihilation and creation rates. We also discuss the symmetries of the system pseudo-Hamiltonian and their role in developing a general solution. The surprisingly simple form for the eigenvalues leads to interesting physical consequences and to a possible numerical analysis of the dynamical properties of the system.
Mazilu
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Department of Physics and Engineering, Washington and Lee University, Lexington, Virginia 24450, USA. mazilui@wlu.edu
Williams
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D003198:Computer Simulation; D004735:Energy Transfer; D006358:Hot Temperature; D008962:Models, Theoretical; D013816:Thermodynamics