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Microcanonical scaling in small systems

Institution:	1. School of Physics and FOCAS Institute, Dublin Institute of Technology, Kevin Street, Dublin 8, Ireland;2. INSIGHT Centre for Data Analytics, National Centre for Sensor Research, Dublin City University, Dublin 9, Ireland;3. FOCAS Institute, Dublin Institute of Technology, Kevin Street, Dublin 8, Ireland;4. Analytical Microsystems & Materials for Lab-on-a-Chip Group (AMMa-LOAC), Microfluidics UPV/EHU Cluster, Analytical Chemistry Department, University of the Basque Country UPV/EHU, Vitoria-Gasteiz, Spain;5. Department of Informatics, Bioengineering, Robotics and System Engineering, University of Genova, Genova, Italy;1. Departamento de Física, FFCLRP, Universidade de São Paulo, Avenida Bandeirantes, 3900, 14040-901, Ribeirão Preto, SP, Brazil;2. School of Chemistry, University of Leeds, LS2 9JT, Leeds, UK

Abstract:	A microcanonical finite-size scaling ansatz is discussed. It exploits the existence of a well-defined transition point for systems of finite size in the microcanonical ensemble. The best data collapse obtained for small systems yields values for the critical exponents in good agreement with other approaches. The exact location of the infinite system critical point is not needed when extracting critical exponents from the microcanonical finite-size scaling theory.

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