Finite Temperature Transition in Two Flavor QCD with Renormalization Group Improved Action

The finite temperature transition or crossover in QCD with two degenerate Wilson quarks is investigated using a renormalization group improved action. At $\beta=2.0$ and 2.1 where $a^{-1} \sim 1.0-1.2$ GeV, the expectation value of the Polyakov loop and the pion screening mass on an $8^3 \times 4$ lattice vary smoothly with the hopping parameter through the transition/crossover. The quark screening mass in the high temperature phase agrees well with that in the low temperature phase calculated on an $8^4$ lattice. The smooth transition of the observables is totally different from the sharp transition found for the standard action at $\beta=5.0$ and 5.1 where $a^{-1}$ is also $1.0-1.2$ GeV.Comment: 3 pages, latex, 2 postscript figures. Contribution to Lattice 94 proceeding

Transition Probability to Turbulent Transport Regime

Transition phenomena between thermal noise state and turbulent state observed in a submarginal turbulent plasma are analyzed with statistical theory. Time-development of turbulent fluctuation is obtained by numerical simulations of Langevin equation which contains hysteresis characteristics. Transition rates between two states are analyzed. Transition from turbulent state to thermal noise state occurs in entire region between subcritical bifurcation point and linear stability boundary.Comment: 9 pages, 6 figures, to be published in Plasma Phys. Control. Fusio

Phase Diagram of QCD at Finite Temperatures with Wilson Fermions

Phase diagram of QCD with Wilson fermions for various numbers of flavors $N_F$ is discussed. Our simulations mainly performed on a lattice with the temporal size $N_t =4$ indicate the following: The chiral phase transition is of first order when $3 \le N_F \le 6$, while it is continuous when $N_F=2$. For the realistic case of massless u and d quarks and the strange quark with $m_q = 150$ MeV, the phase transition is first order. The sharp transition in the intermediate mass region for $N_F=2$ at $N_t=4$ observed by the MILC group disappears when an RG improvement is made for the pure gauge action.Comment: ps file, 7 pages with 5 figures, contribution to Lattice 94

Stochastic Transition between Turbulent Branch and Thermodynamic Branch of an Inhomogeneous Plasma

Transition phenomena between thermodynamic branch and turbulent branch in submarginal turbulent plasma are analyzed with statistical theory. Time-development of turbulent fluctuation is obtained by numerical simulations of Langevin equation which contains submarginal characteristics. Probability density functions and transition rates between two states are analyzed. Transition from turbulent branch to thermodynamic branch occurs in almost entire region between subcritical bifurcation point and linear stability boundary.Comment: 10 pages, 8 figures, to be published in J. Phys. Soc. Jp

Site-selective 63^{63}Cu NMR study of the vortex cores of Tl2_{2}Ba2_{2}CuO6+δ_{6+\delta}

We report site-selective $^{63}$Cu NMR studies of the vortex core states of an overdoped Tl$_{2}$Ba$_{2}$CuO$_{6+\delta}$ with $T_{c}$ = 85 K. We observed a relatively high density of low-energy quasi-particle excitations at the vortex cores in a magnetic field of 7.4847 T along the c axis, in contrast to YBa$_{2}$Cu$_{3}$O$_{7-\delta}$.Comment: 5 pages, 6 figures, submitted to J. Phys. Chem. Solids (QuB2006, Tokai

7Li NMR Studies of LiCrO2

We report on 7Li NMR studies of a spin S = 3/2 triangular lattice antiferromagnet LiCrO2 (Neel temperature TN = 62 K) in the paramagnetic state by using the free-induction decay of 7Li nuclear magnetization. We observed critical divergence of the 7Li nuclear spin-lattice relaxation rate 1/T1 near TN, a narrow critical region, and a critical exponent w = 0.45 from a fit of 1/T1 $\propto$ (T/TN - 1)$^{-w}$. Although spin frustration effects have been explored for this system, the dynamical critical phenomena suggest that LiCrO2 in the critical region is a poor low dimensional antiferromagnetic system.Comment: 6 pages, 4 figures, to appear in JPS Conf. Proc. (SCES2013

A qq-analogue of derivations on the tensor algebra and the qq-Schur-Weyl duality

This paper presents a $q$-analogue of an extension of the tensor algebra given by the same author. This new algebra naturally contains the ordinary tensor algebra and the Iwahori-Hecke algebra type $A$ of infinite degree. Namely this algebra can be regarded as a natural mix of these two algebras. Moreover, we can consider natural "derivations" on this algebra. Using these derivations, we can easily prove the $q$-Schur-Weyl duality (the duality between the quantum enveloping algebra of the general linear Lie algebra and the Iwahori-Hecke algebra of type $A$).Comment: 10 pages; revised version; to appear in Lett. Math. Phy

Random Sequential Generation of Intervals for the Cascade Model of Food Webs

The cascade model generates a food web at random. In it the species are labeled from 0 to $m$, and arcs are given at random between pairs of the species. For an arc with endpoints $i$ and $j$ ($i<j$), the species $i$ is eaten by the species labeled $j$. The chain length (height), generated at random, models the length of food chain in ecological data. The aim of this note is to introduce the random sequential generation of intervals as a Poisson model which gives naturally an analogous behavior to the cascade model