1,137 research outputs found
On integrability of one third-order nonlinear evolution equation
We study one third-order nonlinear evolution equation, recently introduced by
Chou and Qu in a problem of plane curve motions, and find its transformation to
the modified Korteweg - de Vries equation, its zero-curvature representation
with an essential parameter, and its second-order recursion operator.Comment: 10 page
Direct Calculation of Thermodynamic Quantities for Heisenberg Model
The XXX Heisenberg model is studied at finite temperature. The free energy is
derived without recourse to Thermal Bethe Ansatz method and Quantum Transfer
Matrix method. The result perfectly agrees with the free energy derived by
Thermal Bethe Ansatz method. An explicit expression of the cluster expansion
coefficient in arbitrary order is presented for the first time.Comment: 26 page
Correlation Function of Asymmetric Simple Exclusion Process with Open Boundaries
We investigate the correlation functions of the one-dimensional Asymmetric
Simple Exclusion Process (ASEP) with open boundaries. The conditions for the
boundaries are made most general. The correlation function is expressed in a
multifold integral whose behavior we study in detail. We present a phase
diagram of the correlation length. For the case the correlation length
diverges, we further give the leading terms of the finite-size correction.Comment: JNMP Style, 14 pages, 3 figure
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