scholarly journals Universality andφ4theory of finite-size effects above the upper critical dimension

2000 ◽  
Vol 63 (1) ◽  
Author(s):  
X. S. Chen ◽  
V. Dohm
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Critical Dimension ◽  
Finite Size Effects ◽  
Upper Critical Dimension

scholarly journals Finite-Size Effects in the φ4 Field and Lattice Theory Above the Upper Critical Dimension

1998 ◽  
Vol 09 (07) ◽  
pp. 1007-1019 ◽  
Author(s):  
X. S. Chen ◽  
V. Dohm
Keyword(s):  
Size Effects ◽  
Lattice Theory ◽  
Finite Size ◽  
Periodic Boundary Conditions ◽  
Critical Dimension ◽  
Spin Systems ◽  
Finite Size Effects ◽  
Upper Critical Dimension ◽  
Universal Properties ◽  
Binder Cumulant

We demonstrate that the standard O(n) symmetric φ4 field theory does not correctly describe the leading finite-size effects near the critical point of spin systems with periodic boundary conditions on a d-dimensional lattice with d>4. We show that these finite-size effects require a description in terms of a lattice Hamiltonian. For n →∞ and n=1, explicit results are given for the susceptibility and for the Binder cumulant. They imply that these quantities do not have the universal properties predicted previously and that recent analyses of Monte Carlo results for the five-dimensional Ising model are not conclusive.

Finite Size Effects on Electroluminescence of Nanoscale Semiconducting Polymer Heterojunctions

1997 ◽  
Vol 9 (2) ◽  
pp. 409-412 ◽  
Author(s):  
Samson A. Jenekhe ◽  
Xuejun Zhang ◽  
X. Linda Chen ◽  
Vi-En Choong ◽  
Yongli Gao ◽  
...  
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Semiconducting Polymer

scholarly journals Entanglement, combinatorics and finite-size effects in spin chains

2009 ◽  
Vol 2009 (02) ◽  
pp. P02063 ◽  
Author(s):  
Bernard Nienhuis ◽  
Massimo Campostrini ◽  
Pasquale Calabrese
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Spin Chains ◽  
Finite Size Effects

scholarly journals Effect of Bjerrum pairs on electrostatic properties in an electrolyte solution near charged surfaces: A mean-field approach

2021 ◽  
Author(s):  
Jun-Sik Sin
Keyword(s):  
Electrolyte Solution ◽  
Size Effects ◽  
Mean Field ◽  
Finite Size ◽  
Ion Association ◽  
Finite Size Effects ◽  
Field Approach ◽  
Electrostatic Properties ◽  
Charged Surfaces ◽  
Orientational Ordering

In this paper, we investigate the consequences of ion association, coupled with the considerations of finite size effects and orientational ordering of Bjerrum pairs as well as ions and water...

scholarly journals Finite size effects in multilayered polymer systems: Development of PET lamellae under physical confinement

Polymer ◽  
2010 ◽  
Vol 51 (20) ◽  
pp. 4530-4539 ◽  
Author(s):  
A. Flores ◽  
C. Arribas ◽  
F. Fauth ◽  
D. Khariwala ◽  
A. Hiltner ◽  
...  
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Systems Development ◽  
Finite Size Effects ◽  
Polymer Systems
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