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 arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/4499
ISSN:	1539-3755 1550-2376 (Online)
Alternative Location:	http://arxiv.org/abs/cond-mat/0004207 http://dx.doi.org/10.1103/PhysRevE.62.1592 http://adsabs.harvard.edu/abs/2000PhRvE..62.1592D
Copyright:	2000 The American Physical Society
Appears in Collections:	Research Papers (TP)

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