FINITE SIZE CORRECTION ON THE SURFACE WIDTH OF RANDOM DEPOSITION WITH SURFACE RELAXATION MODEL

2006 ◽  
Vol 20 (21) ◽  
pp. 3057-3070
Author(s):  
A. A. MASOUDI ◽  
R. ZARGINI
Keyword(s):  
Fourier Transformation ◽  
Finite Size ◽  
Surface Relaxation ◽  
Nonlinear Coupling ◽  
Relaxation Model ◽  
Coupling Constant ◽  
The Mean ◽  
Size Correction ◽  
Finite Size Correction ◽  
Finite Size Corrections

The Kardar–Parizi–Zhang equation for surface growth has been analyzed in the regime where the nonlinear coupling constant, λ, is small (Edwards–Wilkinson equation). By using the Fourier transformation the finite size corrections on the mean-square width could be calculated. It is found that the calculated interface width for [Formula: see text] behaves as [Formula: see text] and for [Formula: see text] behaves like [Formula: see text].

FINITE SIZE CORRECTIONS FOR MULTIPARTICLE SPIN-½ NONLINEAR SCHRÖDINGER MODEL

1991 ◽  
Vol 05 (23) ◽  
pp. 1603-1606
Author(s):  
YI-MIN LIU ◽  
FU-CHO PU ◽  
HANG SU
Keyword(s):  
Critical Point ◽  
Ground State ◽  
Finite Size ◽  
Conformal Anomaly ◽  
Nonlinear Schrödinger ◽  
Size Correction ◽  
Finite Size Correction ◽  
Finite Size Corrections ◽  
Maclaurin Formula

Applied Euler-Maclaurin formula, we compute the finite size correction to the energy of the ground state for the Spin-½ Nonlinear Schrödinger model. We get conformal anomaly for this model at the critical point (T=0).

scholarly journals NUMERICAL STUDY OF CHARGE AND STATISTICS OF LAUGHLIN QUASIPARTICLES

1999 ◽  
Vol 14 (04) ◽  
pp. 537-557 ◽  
Author(s):  
HEIDI KJØNSBERG ◽  
JAN MYRHEIM
Keyword(s):  
Numerical Study ◽  
Finite Size ◽  
Expected Value ◽  
Wave Functions ◽  
Numerical Calculations ◽  
Filling Fraction ◽  
Slow Convergence ◽  
Berry Phases ◽  
Size Correction ◽  
Finite Size Correction

We present numerical calculations of the charge and statistics, as extracted from Berry phases, of the Laughlin quasiparticles, near filling fraction 1/3, and for system sizes of up to 200 electrons. For the quasiholes our results confirm that the charge and statistics parameter are e/3 and 1/3, respectively. For the quasielectron charge we find a slow convergence towards the expected value of -e/3, with a finite size correction for N electrons of approximately -0.13e/N. The statistics parameter for the quasielectrons has no well defined value even for 200 electrons, but might possibly converge to 1/3. The anyon model works well for the quasiholes, but requires singular two-anyon wave functions for modelling two Laughlin quasielectrons.

scholarly journals Finite-size correction in a disordered system: A new divergence

1995 ◽  
Vol 52 (5) ◽  
pp. 4860-4864 ◽  
Author(s):  
Somendra M. Bhattacharjee ◽  
Sutapa Mukherji
Keyword(s):  
Finite Size ◽  
Disordered System ◽  
System A ◽  
Size Correction ◽  
Finite Size Correction

A GLUON PLASMA GIANT RESONANCE AND COLOR-SINGLETNESS AT FINITE TEMPERATURE

1999 ◽  
Vol 14 (29) ◽  
pp. 2003-2010
Author(s):  
LINA PARIA ◽  
AFSAR ABBAS ◽  
M. G. MUSTAFA
Keyword(s):  
Finite Temperature ◽  
Giant Resonance ◽  
Finite Size ◽  
Gluon Plasma ◽  
System A ◽  
Size Correction ◽  
Finite Size Correction

By imposing the SU(3) color-singletness constraint on a gluonic system, a heavy gluon–plasma giant resonance is shown to arise at finite temperature. This is made possible through the proper incorporation of the finite size correction brought in by the color-singletness restriction.

Finite-size corrections to Poisson approximations of rare events in renewal processes

2001 ◽  
Vol 38 (02) ◽  
pp. 554-569 ◽  
Author(s):  
John L. Spouge
Keyword(s):  
Renewal Process ◽  
Point Processes ◽  
Correction Term ◽  
Rare Event ◽  
Finite Size ◽  
Time Interval ◽  
Renewal Processes ◽  
Size Correction ◽  
Renewal Events ◽  
Finite Size Corrections

Consider a renewal process. The renewal events partition the process into i.i.d. renewal cycles. Assume that on each cycle, a rare event called 'success’ can occur. Such successes lend themselves naturally to approximation by Poisson point processes. If each success occurs after a random delay, however, Poisson convergence may be relatively slow, because each success corresponds to a time interval, not a point. In 1996, Altschul and Gish proposed a finite-size correction to a particular approximation by a Poisson point process. Their correction is now used routinely (about once a second) when computers compare biological sequences, although it lacks a mathematical foundation. This paper generalizes their correction. For a single renewal process or several renewal processes operating in parallel, this paper gives an asymptotic expansion that contains in successive terms a Poisson point approximation, a generalization of the Altschul-Gish correction, and a correction term beyond that.

Sign in / Sign up

Export Citation Format

Share Document