منابع مشابه
Finite-size scaling behavior in trapped systems.
Numerical transfer-matrix methods are applied to two-dimensional Ising spin systems, in the presence of a confining magnetic field which varies with distance |x| to a "trap center," proportionally to (|x|/ℓ)p, where p>0 . On a strip geometry, the competition between the "trap size" ℓ and the strip width L is analyzed in the context of a generalized finite-size scaling ansatz. In the low-field r...
متن کاملSelf-Averaging, Distribution of Pseudo-Critical Temperatures and Finite Size Scaling in Critical Disordered Systems
We evaluate by Monte Carlo simulations various singular thermodynamic quantities X, for an ensemble of quenched random Ising and Ashkin-Teller models. The measurements are taken at Tc and we study how the distributions P (X) (and, in particular, their relative squared width, RX) over the ensemble depend on the system size l. The Ashkin-Teller model was studied in the regime where bond randomnes...
متن کاملRevisiting the Theory of Finite Size Scaling in Disordered Systems: n Can Be Less than 2yd
For phase transitions in disordered systems, an exact theorem provides a bound on the finite size correlation length exponent: nFS $ 2yd. It is believed that the intrinsic n satisfies the same bound. We argue that the standard averaging introduces a noise and a new diverging length scale. For n # 2yd self-averaging breaks down, disconnecting n from nFS, and the bound applies only for the latter...
متن کاملFinite Size Corrections in Disordered Systems and Optimization Problems
Disordered systems are actively investigated in the statistical physics community, their presence being ubiquitous in material science, biology, finance, information theory. Even the most simple models of disorder system, e.g. the SherringtonKirkpatrik Spin-Glass, show a remarkably complex phenomenology and stimulated the development of powerful and general mathematical tools, namely the Replic...
متن کاملFinite Size Corrections in Disordered Systems and Optimization Problems
Disordered systems are actively investigated in the statistical physics community, their presence being ubiquitous in material science, biology, finance, information theory. Even the most simple models of disorder systems, e.g. the SherringtonKirkpatrik Spin-Glass, show a remarkably complex phenomenology and stimulated the development of powerful and general mathematical tools, namely the Repli...
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 E
سال: 2002
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.65.026129