Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity

The symplectic numerical integration of finite-dimensional Hamiltonian systems is a well established subject and has led to a deeper understanding of exist...

TJ Bridges，S Reich - 《Physics Letters A》

On the Theory of Superconductivity

Bardeen, Cooper and Schrieffer's theory of superconductivity is discussed by developing an exact treatment of strong coupling approximation. With respect to the thermal properties, their results are verified: The energy of the ground sta...

W Yasushi，F Nobuyuki - 《Progress of Theoretical Physics》

Superconductivity in Dense MgB 2 Wires

$^{11}B$ NMR and nuclear spin-lattice relaxation rate (NSLR) are reported at 7.2 Tesla and 1.4 Tesla in powder samples of the intermetallic compound $MgB_2...

PC Canfield，DK Finnemore，SL Bud'Ko，... - 《Physical Review Letters》

Superconductivity in Dense MgB2 Wires

MgB2 becomes superconducting just below 40 K. Whereas porous polycrystalline samples of MgB2 can be synthesized from boron powders, in this Letter we demon...

PC Canfield - 《Physical Review Letters》

Multi-Symplectic Runge–Kutta Collocation Methods for Hamiltonian Wave Equations

A number of conservative PDEs, like various wave equations, allow for a multi-symplectic formulation which can be viewed as a generalization of the symplec...

S Reich - 《Journal of Computational Physics》

On the Hamiltonian interpolation of near-to-the identity symplectic mappings with application to symplectic integration algorithms

We reconsider the problem of the Hamiltonian interpolation of symplectic mappings. Following Moser's scheme, we prove that for any mapping ψ ε , analytic...

G Benettin，A Giorgilli - 《Journal of Statistical Physics》

Thermodynamic and transport properties of superconducting (MgB2)-B-10

We reconsider the problem of the Hamiltonian interpolation of symplectic mappings. Following Moser's scheme, we prove that for any mapping ψ ε , analytic...

DK Finnemore，JE Ostenson，SL Bud'Ko，...

Symplectic and Multi-Symplectic Methods for the Nonlinear Schrdinger Equation

The Hamiltonian and the multi-symplectic formulations of the nonlin-ear Schr(?)dinger equation(NLS)are considered.For the multi-symplecticformulation,a new...

JB Chen，MZ Qin，YF Tang - Structure Preserving Algorithm & Its Applications- Ccast Workshop

Thermodynamic and Transport Properties of Superconducting Mg¹⁰B₂

Transport and thermodynamic properties of a sintered pellet of the newly discovered MgB₂ superconductor have been measured to determine the char...

D.，K.，Finnemore，... - 《Physical Review Letters》

Motion of the Vortex Structure in Type-II Superconductors in High Magnetic Field

We study microscopically the resistive state in Type-II superconductors in high field in two extreme limits (i.e., the dirty limit and the pure limit). We ...

C Caroli，K Maki - 《Physical Review》