scholarly journals Electromagnetic finite-size effects beyond the point-like approximation

2022 ◽  
Vol 258 ◽  
pp. 06001
Author(s):  
Matteo Di Carlo ◽  
Maxwell T. Hansen ◽  
Nils Hermansson-Truedsson ◽  
Antonin Portelli
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Form Factors ◽  
Finite Size Effects ◽  
Structure Dependence ◽  
Physical Form ◽  
Relativistic Approach ◽  
Model Independent ◽  
General Method ◽  
Flavour Physics

We present a model-independent and relativistic approach to analytically derive electromagnetic finite-size effects beyond the point-like approximation. The key element is the use of electromagnetic Ward identities to constrain vertex functions, and structure-dependence appears via physical form-factors and their derivatives. We apply our general method to study the leading finitesize structure-dependence in the pseudoscalar mass (at order 1/L3) as well as in the leptonic decay amplitudes of pions and kaons (at order 1/L2). Knowledge of the latter is essential for Standard Model precision tests in the flavour physics sector from lattice simulations.

scholarly journals Superfluid Neutron Matter with a Twist

Universe ◽  
2021 ◽  
Vol 7 (2) ◽  
pp. 24
Author(s):  
Georgios Palkanoglou ◽  
Alexandros Gezerlis
Keyword(s):  
Neutron Star ◽  
Boundary Conditions ◽  
Size Effects ◽  
Substantial Reduction ◽  
Finite Size ◽  
Neutron Matter ◽  
Solid State Physics ◽  
Finite Size Effects ◽  
Model Independent ◽  
Twisted Boundary Conditions

Superfluid neutron matter is a key ingredient in the composition of neutron stars. The physics of the inner crust are largely dependent on those of its S-wave neutron superfluid, which has made its presence known through pulsar glitches and modifications in neutron star cooling. Moreover, with recent gravitational-wave observations of neutron star mergers, the need for an equation of state for the matter of these compact stars is further accentuated and a model-independent treatment of neutron superfluidity is important. Ab initio techniques developed for finite systems can be guided to perform extrapolations to the thermodynamic limit and attain this model-independent extraction of various quantities of infinite superfluid neutron matter. To inform such an extrapolation scheme, we performed calculations of the neutron 1S0 pairing gap using model-independent odd–even staggering in the context of the particle-conserving, projected Bardeen–Cooper–Schrieffer (BCS) theory under twisted boundary conditions. While the practice of twisted boundary conditions is standard in solid-state physics and has been used repeatedly in the past to reduce finite-size effects, this is the first time that it has been employed in the context of pairing. We find that a twist-averaging approach results in a substantial reduction of the finite-size effects, bringing systems with N⪆50 within a 2% error margin from the infinite system. This can significantly reduce extrapolation-related errors in the extraction of superfluid neutron matter quantities.

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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