Mryglod I M, Omelyan I P, Folk R
Institute for Condensed Matter Physics, Lviv, Ukraine.
Phys Rev Lett. 2001 Apr 2;86(14):3156-9. doi: 10.1103/PhysRevLett.86.3156.
The magnetic phase transition in a Heisenberg fluid is studied by means of the finite size scaling technique. We find that even for larger systems, considered in an ensemble with fixed density, the critical exponents show deviations from the expected lattice values similar to those obtained previously. This puzzle is clarified by proving the importance of the leading correction to the scaling that appears due to Fisher renormalization with the critical exponent equal to the absolute value of the specific heat exponent alpha. The appearance of such new corretions to scaling is a general feature of systems with constraints.
通过有限尺寸标度技术研究了海森堡流体中的磁相变。我们发现,即使对于在固定密度系综中考虑的较大系统,临界指数也显示出与先前获得的结果类似的、偏离预期晶格值的偏差。通过证明由于费舍尔重整化而出现的对标度的主导修正的重要性,这个难题得以澄清,其中临界指数等于比热指数α的绝对值。这种对标度的新修正的出现是有约束系统的一个普遍特征。