6533b7d4fe1ef96bd1262806
RESEARCH PRODUCT
Statistical Mechanics of the Sine-Gordon Equation
Yi ChengM. StirlandJussi TimonenR. K. BulloughD. J. Pillingsubject
PhysicsNonlinear Sciences::Exactly Solvable and Integrable SystemsIntegrable systemDifferential equationGeneral Physics and Astronomysine-Gordon equationStatistical mechanicsSolitonQuantum statistical mechanicsIntegral equationMathematical physicsBethe ansatzdescription
We give two fundamental methods for evaluation of classical free energies of all the integrable models admitting soliton solutions; the sine-Gordon equation is one example. Periodic boundary conditions impose integral equations for allowed phonon and soliton momenta. From these, generalized Bethe-Ansatz and functional-integration methods using action-angle variables follow. Results for free energies coincide, and coincide with those that we find by transfer-integral methods. Extension to the quantum case, and quantum Bethe Ansatz, on the lines to be reported elsewhere for the sinh-Gordon equation, is indicated.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1986-05-26 | Physical Review Letters |