Surface free energy for systems with integrable boundary conditions

Integrable Field Theory with Boundary Conditions

Numerical Simulation of Free Surface Flows and Comparison of Symmetry and Real Boundary Conditions at the Free Surface

For implementation&#10 of the free surface boundary condition, a new subroutine has been introduced to an existing steady 3-D body fitted code. This code was previously written for steady flow simulation in closed ducts. The algorithm used in this subroutine reduces the instability problem according to the free surface wave generation. For code validation, it was applied to two different open c...

Numerical Simulation of Free Surface Flows and Comparison of Symmetry and Real Boundary Conditions at the Free Surface

For implementation of the free surface boundary condition, a new subroutine has been introduced to an existing steady 3-D body fitted code. This code was previously written for steady flow simulation in closed ducts. The algorithm used in this subroutine reduces the instability problem according to the free surface wave generation. For code validation, it was applied to two different open cha...

Asymptotic Free Energy of a System with Periodic Boundary Conditions

A v-dimensional classical particle system in a torus, i.e., in a rectangular box with periodic boundary conditions, is considered in a canonical ensemble. Subject to mild restrictions over and above the usual stability and tempering conditions it is proved that the thermodynamic limit for the torus exists and is identical with that for systems contained in normal domains with boundaries or wall...

Classically and Quantum Integrable Systems with Boundary

We study two-dimensional classically integrable field theory with independent boundary condition on each end, and obtain three possible generating functions for integrals of motion when this model is an ultralocal one. Classically integrable boundary condition can be found in solving boundary K± equations. In quantum case, we also find that unitarity condition of quantum Rmatrix is sufficient t...