36 research outputs found
A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation
The s2s-OVCA is a cellular automaton (CA) hybrid of the optimal velocity (OV)
model and the slow-to-start (s2s) model, which is introduced in the framework
of the ultradiscretization method. Inverse ultradiscretization as well as the
time continuous limit, which lead the s2s-OVCA to an integral-differential
equation, are presented. Several traffic phases such as a free flow as well as
slow flows corresponding to multiple metastable states are observed in the
flow-density relations of the s2s-OVCA. Based on the properties of the
stationary flow of the s2s-OVCA, the formulas for the flow-density relations
are derived
A Super-Integrable Discretization of the Calogero Model
A time-discretization that preserves the super-integrability of the Calogero
model is obtained by application of the integrable time-discretization of the
harmonic oscillator to the projection method for the Calogero model with
continuous time. In particular, the difference equations of motion, which
provide an explicit scheme for time-integration, are explicitly presented for
the two-body case. Numerical results exhibit that the scheme conserves all
the conserved quantities of the (two-body) Calogero model with a
precision of the machine epsilon times the number of iterations.Comment: 22 pages, 5 figures. Added references. Corrected typo
スロースタート効果を取り入れた超離散最適速度模型と基本図
九州大学応用力学研究所研究集会報告 No.22AO-S8 「非線形波動研究の新たな展開 : 現象とモデル化」Report of RIAM Symposium No.22AO-S8 Development in Nonlinear Wave: Phenomena and Modeling高橋・松木平による最適速度(OV) 模型に対する超離散化の処方箋を利用して,スロースタート(s2s) 模型と最適速度模型の超離散化可能な複合模型を構成する.特にセルオートマトン(CA) タイプのモデルに対して,車両密度と平均交通流量の関係(基本図) を数値的に調べ,その特徴を明らかにする
The construction of a high-density linkage map for identifying SNP markers that are tightly linked to a nuclear-recessive major gene for male sterility in Cryptomeria japonica D. Don
SO(4) Symmetry of the Transfer Matrix for the One-Dimensional Hubbard Model
The SO(4) invariance of the transfer matrix for the one-dimensional Hubbard
model is clarified from the QISM (quantum inverse scattering method) point of
view. We demonstrate the SO(4) symmetry by means of the fermionic R-matrix,
which satisfy the graded Yang-Baxter relation. The transformation law of the
fermionic L-operator under the SO(4) rotation is identified with a kind of
gauge transformation, which determines the corresponding transformation of the
fermionic creation and annihilation operators under the SO(4) rotation. The
transfer matrix is confirmed to be invariant under the SO(4) rotation, which
ensures the SO(4) invariance of the conserved currents including the
Hamiltonian. Furthermore, we show that the representation of the higher
conserved currents in terms of the Clifford algebra gives manifestly SO(4)
invariant forms.Comment: 20 pages, LaTeX file using citesort.st
Integrable semi-discretization of the coupled nonlinear Schr\"{o}dinger equations
A system of semi-discrete coupled nonlinear Schr\"{o}dinger equations is
studied. To show the complete integrability of the model with multiple
components, we extend the discrete version of the inverse scattering method for
the single-component discrete nonlinear Schr\"{o}dinger equation proposed by
Ablowitz and Ladik. By means of the extension, the initial-value problem of the
model is solved. Further, the integrals of motion and the soliton solutions are
constructed within the framework of the extension of the inverse scattering
method.Comment: 27 pages, LaTeX2e (IOP style