1,832 research outputs found
Competing Glauber and Kawasaki Dynamics
Using a quantum formulation of the master equation we study a kinetic Ising
model with competing stochastic processes: the Glauber dynamics with
probability and the Kawasaki dynamics with probability . Introducing
explicitely the coupling to a heat bath and the mutual static interaction of
the spins the model can be traced back exactly to a Ginzburg Landau functional
when the interaction is of long range order. The dependence of the correlation
length on the temperature and on the probability is calculated. In case
that the spins are subject to flip processes the correlation length disappears
for each finite temperature. In the exchange dominated case the system is
strongly correlated for each temperature.Comment: 9 pages, Revte
Analytical Bethe Ansatz for quantum-algebra-invariant open spin chains
We determine the eigenvalues of the transfer matrices for integrable open
quantum spin chains which are associated with the affine Lie algebras
, and which have the
quantum-algebra invariance U_q(C_n), U_q(B_n), U_q(C_n), U_q(D_n)$,
respectively.Comment: 14 pages, latex, no figures (a character causing latex problem is
removed
Quantum Group Invariant Supersymmetric t-J Model with periodic boundary conditions
An integrable version of the supersymmetric t-J model which is quantum group
invariant as well as periodic is introduced and analysed in detail. The model
is solved through the algebraic nested Bethe ansatz method.Comment: 11 pages, LaTe
On the algebraic Bethe ansatz: Periodic boundary conditions
In this paper, the algebraic Bethe ansatz with periodic boundary conditions
is used to investigate trigonometric vertex models associated with the
fundamental representations of the non-exceptional Lie algebras. This
formulation allow us to present explicit expressions for the eigenvectors and
eigenvalues of the respective transfer matrices.Comment: 36 pages, LaTex, Minor Revisio
Effectiveness and cost-effectiveness of a group-based outpatient physiotherapy intervention following knee replacement for osteoarthritis: feasibility study for a randomised controlled trial
The algebraic Bethe ansatz for open vertex models
We present a unified algebraic Bethe ansatz for open vertex models which are
associated with the non-exceptional
Lie algebras.
By the method, we solve these models with the trivial K matrix and find that
our results agree with that obtained by analytical
Bethe ansatz. We also solve the models with
some non-trivial diagonal K-matrices (one free parameter case) by the algebraic
Bethe ansatz.Comment: Latex, 35 pages, new content and references are added, minor
revisions are mad
Long-term follow up after non-myeloablative allogeneic stem cell transplantation for renal cell carcinoma: the university of Chicago experience
Phase transition in an asymmetric generalization of the zero-temperature Glauber model
An asymmetric generalization of the zero-temperature Glauber model on a
lattice is introduced. The dynamics of the particle-density and specially the
large-time behavior of the system is studied. It is shown that the system
exhibits two kinds of phase transition, a static one and a dynamic one.Comment: LaTeX, 9 pages, to appear in Phys. Rev. E (2001
Quantum spin chain with "soliton non-preserving" boundary conditions
We consider the case of an integrable quantum spin chain with "soliton
non-peserving" boundary conditions. This is the first time that such boundary
conditions have been considered in the spin chain framework. We construct the
transfer matrix of the model, we study its symmetry and we find explicit
expressions for its eigenvalues. Moreover, we derive a new set of Bethe ansatz
equations by means of the analytical Bethe ansatz method.Comment: 12 pages, LaTeX, two appendices added, minor correction
off-shell Bethe ansatz equation with boundary terms
This work is concerned with the quasi-classical limit of the boundary quantum
inverse scattering method for the vertex model with diagonal
-matrices. In this limit Gaudin's Hamiltonians with boundary terms are
presented and diagonalized. Moreover, integral representations for correlation
functions are realized to be solutions of the trigonometric
Knizhnik-Zamoldchikov equations.Comment: 38 pages, minor revison, LaTe
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