Izmailian N Sh
Yerevan Physics Institute, Yerevan, Armenia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Nov;84(5 Pt 1):051109. doi: 10.1103/PhysRevE.84.051109. Epub 2011 Nov 14.
We study the (analytic) finite-size corrections in the Ising model on the strip with free, fixed (++), and mixed boundary conditions. For fixed (++) boundary conditions, the spins are fixed to the same values on two sides of the strip. We find that subdominant finite-size corrections to scaling should be to the form a(p)/N(2p-1) for the free energy f(N) and b(p)/N(2p-1) for inverse correlation length ξ(N)(-1), with integer value of p. We investigate the set {a(p),b(p)} by exact evaluation and their changes upon varying anisotropy of coupling. We find that the amplitude ratios b(p)/a(p) remain constant upon varying coupling anisotropy. Such universal behavior is correctly reproduced by the conformal perturbative approach.
我们研究了在具有自由、固定（++）和混合边界条件的条带上的伊辛模型中的（解析）有限尺寸修正。对于固定（++）边界条件，条带两侧的自旋被固定为相同的值。我们发现，对于自由能f(N)，标度的次主导有限尺寸修正应为a(p)/N(2p - 1)的形式，对于逆关联长度ξ(N)(-1)，应为b(p)/N(2p - 1)的形式，其中p为整数值。我们通过精确计算研究了集合{a(p), b(p)}以及它们随耦合各向异性变化的情况。我们发现，在改变耦合各向异性时，振幅比b(p)/a(p)保持不变。共形微扰方法正确地再现了这种普适行为。
