Results 151 to 160 of about 467,640 (194)

Finite Size Scaling in Ecology

Physical Review Letters, 1999
Finite size scaling techniques are applied to ecology and are shown to predict relationships between power-law exponents as well as a connection between scaling phenomena in physics and ecology. The framework presented here ought to be useful for testing the hypothesis of scale invariance in the spatial distribution of species across a landscape.
J. R. Banavar, J. L. Green, J. Harte, MARITAN, AMOS   +3 more
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Finite-Size Scaling

1999
In the last chapter, conformal invariance was used to constrain the multipoint correlation functions of isotropic critical two-dimensional systems. Before following the field-theoretic developments further, we shall describe important applications to the study of finite-size effects.
J.R. BANAVAR, J. GREEN, J. HARTE, MARITAN, AMOS   +3 more
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Finite-size scaling for critical films

Physical Review Letters, 1991
The universal scaling function of the fine-size contribution to the free energy of O(N) symmetric systems confined between two parallel plates at distance L is calculatd by field-theoretical methods close to ${\mathit{T}}_{\mathit{c},\mathrm{b}\mathrm{u}\mathrm{l}\mathrm{k}}$ and for five different boundary conditions. The asymptotic behavior for large
Krech, M., Dietrich, S.
openaire   +3 more sources

Fractures: Finite-size scaling and multifractals

pure and applied geophysics, 1992
The distributions of contact area and void space in single fractures in granite rock have been determined experimentally by making metal casts of the void spaces between the fracture surfaces under normal loads. The resulting metal casts on 52 cm diameter core samples show a complex geometry for the flow paths through the fracture.
L. J. Pyrak-Nolte, L. R. Myer, D. D. Nolte   +2 more
openaire   +1 more source

Finite-size scaling in stick percolation

Physical Review E, 2009
This work presents the generalization of the concept of universal finite-size scaling functions to continuum percolation. A high-efficiency algorithm for Monte Carlo simulations is developed to investigate, with extensive realizations, the finite-size scaling behavior of stick percolation in large-size systems.
Jiantong, Li, Shi-Li, Zhang
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Corrected finite-size scaling in percolation

Physical Review E, 2012
This Rapid Communication proposes a comprehensive scaling theory for percolation, which clarifies the intrinsic nature of finite-size scaling and effectively addresses the finite-size effects. This theory applies to extensive systems, including especially the explosive percolation.
Li, Jiantong, Östling, Mikael
openaire   +3 more sources

Finite-Size Scaling Theory

1983
Fisher’s1 finite-size scaling describes the cross-over from the singular behaviour of thermodynamic quantities at the critical point to the analytic behaviour of a finite system. In the last two years the method was extended to the transfer matrix technique by Nightingale and Blote2 and to the Hamiltonian formalism3 by Hamer and Barber4–6.
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Finite-Size Scaling and Boundaries

1997
Until now, with the notable exception of Chap. 10, we have concentrated our attention on conformal field theories defined on the infinite plane, which is equivalent to a sphere. In this chapter we shall study the consequences of conformal invariance on models defined on portions of the plane delimited by one or more boundaries, with various types of ...
Philippe Di Francesco, Pierre Mathieu, David Sénéchal   +2 more
openaire   +1 more source

Magnetisations from finite-size scaling

Journal of Physics A: Mathematical and General, 1982
A method of obtaining the spontaneous magnetisation from finite-lattice matrix elements of the magnetic field operator, due to Yang (1952) and Uzelac (1980), is discussed. The method is demonstrated for the case of the Ising model in (1+1) dimensions, and is shown to provide smooth and rapidly convergent finite-lattice sequences. Applied to the case of
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Finite-Size Scaling Renormalization Group

Europhysics Letters (EPL), 1992
A renormalization group approach based only on the finite-size scaling hypothesis, with no further assumptions, is presented. It is applied, as an example, to the 2D and 3D Ising ferromagnet in a uniform field. The critical behaviour of this system is discussed in detail, not only around the critical point (J = J0 and H = 0), but also around both the ...
openaire   +1 more source