Multifractal finite-size scaling and universality at the Anderson transition
نویسندگان
چکیده
منابع مشابه
Finite-size scaling at the jamming transition.
We present an analysis of finite-size effects in jammed packings of N soft, frictionless spheres at zero temperature. There is a 1/N correction to the discrete jump in the contact number at the transition so that jammed packings exist only above isostaticity. As a result, the canonical power-law scalings of the contact number and elastic moduli break down at low pressure. These quantities exhib...
متن کاملUniversality and Scaling at the chiral transition in two-flavor QCD at finite temperature
The order of the phase transition in finite-temperature QCD with two degenerate light quarks is still an open problem and corresponds to the last question mark in the zero-density phase diagram of QCD. We argue that establishing the nature of the transition in this case is also a crucial test for numerical simulations of lattice QCD, allowing precise estimates of possible systematic errors rela...
متن کاملFinite-size scaling and universality above the upper critical dimensionality.
According to renormalization theory, Ising systems above their upper critical dimensionality du 4 have classical critical behavior and the ratio of magnetization moments Q km2l2ykm4l has the universal value 0.456947 . . .. However, Monte Carlo simulations of d 5 Ising models have been reported which yield strikingly different results, suggesting that the renormalization scenario is incorr...
متن کاملFinite-size scaling at the jamming transition: corrections to scaling and the correlation-length critical exponent.
We carry out a finite-size scaling analysis of the jamming transition in frictionless bidisperse soft core disks in two dimensions. We consider two different jamming protocols: (i) quench from random initial positions and (ii) quasistatic shearing. By considering the fraction of jammed states as a function of packing fraction for systems with different numbers of particles, we determine the spa...
متن کاملPolydispersity Effect and Universality of Finite-Size Scaling Function
We derive an equation for the existence probability Ep for general percolation problem using an analytical argument based on exponential-decay behaviour of spatial correlation function. It is shown that the finite-size scaling function is well approximated by the error function. The present argument explain why it is universal. We use Monte Carlo simulation to calculate Ep for polydisperse cont...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review B
سال: 2011
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.84.134209