Exact energy spectrum of a two-temperature kinetic Ising model

Abstract

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.

References in corpus (7)

• Reaction-Diffusion Processes from Equivalent Integrable Quantum Chains
• Ground-state factorization and quantum phase transition in dimerized spin chains
• Stationary correlations for a far-from-equilibrium spin chain
• Complete Solution of the Kinetics in a Far-from-equilibrium Ising Chain
• Non-equilibrium stationary state of a two-temperature spin chain
• Exact dynamics of a reaction-diffusion model with spatially alternating rates
• Non-equilibrium statistical mechanics: a solvable model

Cited by in corpus (5)

• Non-equilibrium statistical mechanics of a two-temperature Ising ring with conserved dynamics
• Steady-state properties of coupled hot and cold Ising chains
• Phase diagram and specific heat of a nonequilibrium Curie-Weiss model
• Stochastic Two-temperature Nonequilibrium Ising model
• New family of symmetric orthogonal polynomials and a solvable model of a kinetic spin chain