Please use this identifier to cite or link to this item:
Title: Equilibrium and dynamical properties of the axial next-nearest-neighbor Ising chain at the multiphase point
Authors: Dhar, Abhishek
Shastry, Sriram B.
Dasgupta, Chandan
Keywords: lattice theory and statistics
stochastic processes
fluctuation phenomena
random processes
brownian motion
Issue Date: Aug-2000
Publisher: American Physical Society
Citation: Physical Review E, 2000, Vol.62, p1592
Abstract: We study the equilibrium and dynamical properties of the axial next-nearest-neighbor Ising chain at the multiphase point. An interesting property of the system is the macroscopic degeneracy of the ground state leading to finite zero-temperature entropy. In our equilibrium study we consider the effect of softening the spins. We show that the degeneracy of the ground state is lifted and there is a qualitative change in the low-temperature behavior of the system with a well-defined low-temperature peak of the specific heat that carries the thermodynamic ``weight'' of the ground state entropy. In our study of the dynamical properties, the stochastic Kawasaki dynamics is considered. The Fokker-Planck operator for the process corresponds to a quantum spin Hamiltonian similar to the Heisenberg ferromagnet but with constraints on allowed states. This leads to a number of differences in its properties, which are obtained through exact numerical diagonalization, simulations, and by obtaining various analytic bounds.
Description: Restricted Access. An open-access version is available at (one of the alternative locations)
ISSN: 1539-3755
1550-2376 (Online)
Alternative Location:
Copyright: 2000 The American Physical Society
Appears in Collections:Research Papers (TP)

Files in This Item:
File Description SizeFormat 
  Restricted Access
Restricted Access152.02 kBAdobe PDFView/Open Request a copy

Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.