Scaling theory and finite systems

Keywords

Critical exponent, Widom scaling, Scaling, Singularity, Critical point (mathematics)

References

• On the theory of cooperative phenomena in crystalsC. Domb — 1960
• Scaling theory and logarithmic singularitiesM. P. Nightingale, A.H. 'T Hooft — 1974
• Numerical evaluations of the critical properties of the two-dimensional Ising modelLeo P. Kadanoff, Anthony Houghton — 1975
• Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling PictureKenneth G. Wilson — 1971
• Scaling laws for Ising models near T(c)Leo P. Kadanoff — 1966

Cited by

• Finite-size scaling of the correlation length above the upper critical dimension in the five-dimensional ising modelJeff L. Jones, A. P. Young — 2004
• Critical Properties of the Potts Glass with many statesM. Guidetti, G. Fiorentini, R. Tripiccione — 2010
• Microcanonical finite-size scaling in second-order phase transitions with diverging specific heat.L. A. Fernández, A. Gordillo-Guerrero, V. Martı́n-Mayor — 2009
• The roughening transition of the three-dimensional Ising interface: A Monte Carlo studyM. Hasenbusch, S. Meyer, M. Pütz — 1996
• Finite size scaling analysis of ising model block distribution functionsK. Binder — 1981
• On the Robustness of Quantum SimulatorsPhilipp Hauke, Fernando Cucchietti, Luca Tagliacozzo — 2014
• Haldane magnetization plateau and quantum phase transitions in the spin-( 1 2 , 1) XXZ chainGuanghua Liu, Longjuan Kong, Jun-Ya Dou — 2015
• Criticality of the (2+1)-dimensional S=1 transverse-field Ising model with extended interactions: Suppression of corrections to scalingYoshihiro Nishiyama — 2010
• Improved transfer-matrix schemes of phenomenological renormalizationM.A. Yurishchev — 1999
• Hard square lattice gasAsher Baram, Marshall Fixman — 1994
• Phase diagram of CO/Rh(111) at low coveragesJ. Kjoll, Tapio Ala-Nissilä, S. C. Ying — 1989
• Strip-these for random systemsJ. Vannimenus, Jean‐Pierre Nadal — 1984
• Coherent Anomaly in Kosterlitz-Thouless-Type Transition in the S=1/2 XXZ Chain at the Ground StateYoshihiko Nonomura, Masuo Suzuki — 1993
• Finite-size scaling for quantum criticality using the finite-element method.E. Antillon, Birgit Wehefritz–Kaufmann, Sabre Kais — 2011
• Oriented Percolation in Two DimensionsRichard Durrett — 1984
• Finite-size scaling and the two-dimensional XY modelJ. M. Luck — 1982
• Three-state square lattice Potts antiferromagnetM. P. Nightingale, M. Schick — 1982
• Phenomenological renormalization for spin glassesI. Morgenstern, David A. Huse — 1986
• An Investigation of Finite Size ScalingE. Brézin — 1982
• Finite‐size scaling and phenomenological renormalization (invited)Peter Nightingale — 1982

Related papers

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• Scaling behavior at zero-temperature critical pointsGeorge A. Baker, Jill C. Bonner — 1975
• Universality Under Conditions of Self-tuningOle Peters, Michelle Girvan — 2009
• Universal Scaling Behavior of Non-Equilibrium Phase TransitionsSven Lübeck, Theoretische Physik, Universität Duisburg-essen — 2004
• Dynamic scaling of disordered Ising systemsHans-O Heuer — 1993
• Monte Carlo simulation of critical dynamic spin systemsL. Schülke, Bo Zheng — 1997
• Critical behavior of a three-dimensional random-bond Ising model using finite-time scaling with extensive Monte Carlo renormalization-group method.Wanjie Xiong, Fan Zhong, Weilun Yuan — 2010
• Boundary conditions and scaling functions of percolation modelsChin‐Kun Hu — 1994