期刊
PHYSICAL REVIEW LETTERS
卷 116, 期 11, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.116.115701
关键词
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资金
- EU FP7 Project [269139]
- Dynamics and Cooperative Phenomena in Complex Physical and Biological Media [295302]
- Statistical Physics in Diverse Realizations [612707]
- Dynamics of and in Complex Systems
- Doctoral College for the Statistical Physics of Complex Systems, Leipzig-Lorraine-Lviv-Coventry, Franco-German University
Renormalization-group theory has stood, for over 40 years, as one of the pillars of modern physics. As such, there should be no remaining doubt regarding its validity. However, finite-size scaling, which derives from it, has long been poorly understood above the upper critical dimension d(c) in models with free boundary conditions. In addition to its fundamental significance for scaling theories, the issue is important at a practical level because finite-size, statistical-physics systems with free boundaries and above d(c) are experimentally relevant for long-range interactions. Here, we address the roles played by Fourier modes for such systems and show that the current phenomenological picture is not supported for all thermodynamic observables with either free or periodic boundaries. In particular, the expectation that dangerous irrelevant variables cause Gaussian-fixed-point scaling indices to be replaced by Landau mean-field exponents for all Fourier modes is incorrect. Instead, the Gaussian-fixed-point exponents have a direct physical manifestation for some modes above the upper critical dimension.
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