scholarly journals Mesoscopic Dielectrics

1999 ◽  
Vol 52 (5) ◽  
pp. 903 ◽  
Author(s):  
J. F. Scott
Keyword(s):  
Thin Films ◽  
Low Temperature ◽  
Domain Wall ◽  
Growth Kinetics ◽  
Size Effects ◽  
Finite Size ◽  
Quantum Effects ◽  
Nucleation And Growth ◽  
Small Particles ◽  
Finite Size Effects

This paper describes four unsolved theoretical problems in ferroelectrics and related dielectrics with high permittivities: (1) finite size effects in thin films and small particles, and their relationship to depolarisation fields; (2) nucleation and growth kinetics, and especially the recently discovered coherent nucleation of small domains in front of advancing walls; (3) low-temperature quantum effects in ferroelectrics and the process of ‘freeze-out’, in which domain wall mobilities suddenly drop to zero; (4) self-patterning of nanoscale assemblies on the surfaces of substrates, and the consideration of lateral finite size effects.

scholarly journals Monte Carlo study of the finite-size effects on the magnetization of maghemite small particles

2001 ◽  
Vol 89 (11) ◽  
pp. 7597-7599 ◽  
Author(s):  
Òscar Iglesias ◽  
Amı́lcar Labarta ◽  
Fèlix Ritort
Keyword(s):  
Monte Carlo ◽  
Size Effects ◽  
Finite Size ◽  
Monte Carlo Study ◽  
Small Particles ◽  
Finite Size Effects

scholarly journals TESTING BOUNDARY CONDITIONS EFFICIENCY IN SIMULATIONS OF LONG-RANGE INTERACTING MAGNETIC MODELS

2004 ◽  
Vol 15 (01) ◽  
pp. 115-127 ◽  
Author(s):  
SERGIO A. CANNAS ◽  
CINTIA M. LAPILLI ◽  
DANIEL A. STARIOLO
Keyword(s):  
Low Temperature ◽  
Boundary Conditions ◽  
Size Effects ◽  
Periodic Boundary ◽  
Finite Size ◽  
Periodic Boundary Conditions ◽  
Ferromagnetic Phase ◽  
Temperature Phase ◽  
Finite Size Effects ◽  
Magnetic Systems

Periodic boundary conditions have no unique implementation in magnetic systems where all spins interact with each other through a power law decaying interaction of the form 1/rα, r being the distance between spins. In this work we present a comparative study of the finite size effects oberved in numerical simulations by using first image and infinite image periodic boundary conditions in one- and two-dimensional spin systems with those interactions, including the ferromagnetic, anti-ferromagnetic and competitive interaction cases. Our results show no significative differences between the finite size effects produced by both boundary conditions when the low temperature phase has zero global magnetization, and it depends on the ratio α/d for systems with a low temperature ferromagnetic phase. In the last case the first image convention gives more stronger finite size effects than the other when the system enters into the classical regime α/d≤3/2.

scholarly journals Finite-size effects in lead scandium tantalate relaxor thin films

2020 ◽  
Vol 101 (9) ◽  
Author(s):  
Abel Fernandez ◽  
Jieun Kim ◽  
Derek Meyers ◽  
Sahar Saremi ◽  
Lane W. Martin
Keyword(s):  
Thin Films ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects

scholarly journals Finite-size effects in the nuclear magnetic resonance of epitaxial palladium thin films

2013 ◽  
Vol 88 (14) ◽  
Author(s):  
W. A. MacFarlane ◽  
T. J. Parolin ◽  
T. I. Larkin ◽  
G. Richter ◽  
K. H. Chow ◽  
...  
Keyword(s):  
Thin Films ◽  
Nuclear Magnetic Resonance ◽  
Magnetic Resonance ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Nuclear Magnetic

Finite size corrections for the Johnson–Mehl–Avrami–Kolmogorov equation

1997 ◽  
Vol 12 (1) ◽  
pp. 124-132 ◽  
Author(s):  
L. E. Levine ◽  
K. Lakshmi Narayan ◽  
K. F. Kelton
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Nucleation And Growth ◽  
Growth Behavior ◽  
Kolmogorov Equation ◽  
Experimental Measurements ◽  
Finite Size Effects ◽  
Sample Shape ◽  
Wide Range ◽  
Finite Size Corrections

The Johnson–Mehl–Avrami–Kolmogorov (JMAK) equation is frequently used to describe phase transformations involving nucleation and growth. The assumptions used in the derivation of this equation, however, are frequently violated when making experimental measurements; use of the JMAK equation for analyzing such data can often produce invalid results. Finite-size effects are among the most serious of these problems. We present modified analytic JMAK equations that correct for the finite-size effects and are roughly independent of both the sample shape and the shape of the growing nuclei. A comparison with computer simulations shows that these modified JMAK equations accurately reproduce the growth behavior over a wide range of conditions.

Finite-size effects in nanocomposite thin films and fibers

2011 ◽  
Vol 84 (2) ◽  
Author(s):  
D. R. Stevens ◽  
E. W. Skau ◽  
L. N. Downen ◽  
M. P. Roman ◽  
L. I. Clarke
Keyword(s):  
Thin Films ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Nanocomposite Thin Films
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