Diffusion of adsorbates on single crystal surfaces of square symmetry: finite-size scaling and the thermodynamic limit

2002 ◽  
Vol 4 (10) ◽  
pp. 1882-1888
Author(s):  
F. Nieto ◽  
A. A. Tarasenko ◽  
C. Uebing
Keyword(s):  
Single Crystal ◽  
Thermodynamic Limit ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Crystal Surfaces ◽  
Single Crystal Surfaces ◽  
Size Scaling

scholarly journals Finite-size scaling of the photon-blockade breakdown dissipative quantum phase transition

Quantum ◽  
2019 ◽  
Vol 3 ◽  
pp. 150 ◽  
Author(s):  
A. Vukics ◽  
A. Dombi ◽  
J. M. Fink ◽  
P. Domokos
Keyword(s):  
Phase Transition ◽  
Thermodynamic Limit ◽  
Quantum Phase Transition ◽  
Finite Size ◽  
Quantum Phase ◽  
Finite Size Scaling ◽  
First Order ◽  
Size Scaling ◽  
First Order Phase Transition ◽  
Photon Blockade

We prove that the observable telegraph signal accompanying the bistability in the photon-blockade-breakdown regime of the driven and lossy Jaynes–Cummings model is the finite-size precursor of what in the thermodynamic limit is a genuine first-order phase transition. We construct a finite-size scaling of the system parameters to a well-defined thermodynamic limit, in which the system remains the same microscopic system, but the telegraph signal becomes macroscopic both in its timescale and intensity. The existence of such a finite-size scaling completes and justifies the classification of the photon-blockade-breakdown effect as a first-order dissipative quantum phase transition.

scholarly journals nnOn the behavior of CTAB/CTAOH adlayers on gold single crystal surfaces

2021 ◽  
pp. 138947
Author(s):  
José M. Gisbert-González ◽  
María V. Oliver-Pardo ◽  
Francisco J. Sarabia ◽  
Víctor Climent ◽  
Juan M. Feliu ◽  
...  
Keyword(s):  
Single Crystal ◽  
Crystal Surfaces ◽  
Single Crystal Surfaces

scholarly journals Reactions on single-crystal surfaces

1976 ◽  
Vol 9 (7) ◽  
pp. 248-256 ◽  
Author(s):  
Gabor A. Somorjai
Keyword(s):  
Single Crystal ◽  
Crystal Surfaces ◽  
Single Crystal Surfaces

scholarly journals A NEW APPROACH TO DYNAMIC FINITE-SIZE SCALING

2003 ◽  
Vol 14 (07) ◽  
pp. 945-954 ◽  
Author(s):  
MEHMET DİLAVER ◽  
SEMRA GÜNDÜÇ ◽  
MERAL AYDIN ◽  
YİĞİT GÜNDÜÇ
Keyword(s):  
Three Dimensional ◽  
Finite Size ◽  
Taylor Series Expansion ◽  
Scaling Behavior ◽  
Dynamic Scaling ◽  
Finite Size Scaling ◽  
New Approach ◽  
Size Scaling ◽  
Dynamic Exponent ◽  
Good Agreement

In this work we have considered the Taylor series expansion of the dynamic scaling relation of the magnetization with respect to small initial magnetization values in order to study the dynamic scaling behavior of two- and three-dimensional Ising models. We have used the literature values of the critical exponents and of the new dynamic exponent x0 to observe the dynamic finite-size scaling behavior of the time evolution of the magnetization during early stages of the Monte Carlo simulation. For the three-dimensional Ising model we have also presented that this method opens the possibility of calculating z and x0 separately. Our results show good agreement with the literature values. Measurements done on lattices with different sizes seem to give very good scaling.

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