fermi model
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2021 ◽  
Vol 118 (50) ◽  
pp. e2108769118
Author(s):  
Laura Scalfi ◽  
Benjamin Rotenberg

We investigate the effect of the metallic character of solid substrates on solid–liquid interfacial thermodynamics using molecular simulations. Building on the recent development of a semiclassical Thomas–Fermi model to tune the metallicity in classical molecular dynamics simulations, we introduce a thermodynamic integration framework to compute the evolution of the interfacial free energy as a function of the Thomas–Fermi screening length. We validate this approach against analytical results for empty capacitors and by comparing the predictions in the presence of an electrolyte with values determined from the contact angle of droplets on the surface. The general expression derived in this work highlights the role of the charge distribution within the metal. We further propose a simple model to interpret the evolution of the interfacial free energy with voltage and Thomas–Fermi length, which allows us to identify the charge correlations within the metal as the microscopic origin of the evolution of the interfacial free energy with the metallic character of the substrate. This methodology opens the door to the molecular-scale study of the effect of the metallic character of the substrate on confinement-induced transitions in ionic systems, as reported in recent atomic force microscopy and surface force apparatus experiments.


2021 ◽  
pp. 2150130
Author(s):  
Himangshu Barman ◽  
Anisur Rahaman ◽  
Sohan Kumar Jha

Thomas–Fermi model is considered here to make it cogent to capture the Planck-scale effect with the use of a generalization of uncertainty relation. Here generalization contains both linear and quadratic terms of momentum. We first reformulate the Thomas–Fermi model for the non-relativistic case. We have shown that it can also be reformulated for taking into account the relativistic effect. We study the dialectic screening for both the non-relativistic and relativistic cases and find out the Fermi length for both the cases explicitly.


Author(s):  
Amir Khorasani

Purpose: In the electroporation we can use different electrode types such as needle and plate electrode with different arrangements. One of the new electrode types is single bipolar electrode that the anode and cathode components are in the same needle for decreasing the invasiveness of electroporation procedure. Materials and Methods: For treatment planning purposes we can use different cell killing probability models such as Peleg-Fermi model. The aim of this study is to investigate the impact of geometric electrode parameters such as conductive pole length, insulated pole length and pulse voltage in bipolar electrode on the cell killing probability distribution in electroporation by COMSOL Multiphysics. Results: The target tissue volume with cell killing probability of >80% was increased with conductive pole length, and voltage and decreased with insulated pole length. Conclusion: This paper has highlighted the importance of conductive and insulated pole length and voltage in bipolar electrode on the cell killing probability distribution and electroporated volume in the EP.


2021 ◽  
Vol 17 (1) ◽  
pp. 49-57
Author(s):  
A. S. Polyukhin ◽  

Numerical modelling of the thermodynamic properties of plasma mixture is performed using the Thomas – Fermi model with two different approaches. For this purpose, a numerical algorithm, as well as program realization, is developed to solve the Thomas – Fermi equations with quantum-exchange corrections. For the first time a comparison between different methods for taking account of the heterogeneous composition of plasma is made and an algorithm for estimating the corrections for mixtures is developed.


2020 ◽  
Vol 153 (17) ◽  
pp. 174704
Author(s):  
Laura Scalfi ◽  
Thomas Dufils ◽  
Kyle G. Reeves ◽  
Benjamin Rotenberg ◽  
Mathieu Salanne

Scilight ◽  
2020 ◽  
Vol 2020 (45) ◽  
pp. 451107
Author(s):  
Mara Johnson-Groh
Keyword(s):  

2019 ◽  
Vol 14 (9) ◽  
pp. 59
Author(s):  
Nguyen An Son ◽  
Le Viet Huy ◽  
Pham Ngoc Son ◽  
Ho Huu Thang

140La is created from the thermal neutron capture reaction of 139La, which is the product of the fission reaction. It makes some effects into the components of the nuclear reactor core. Understanding the properties and structure of 140La is important in operating the nuclear reactor. Besides that, nuclear structure models are very effective in explaining the properties of nuclear structure. There are many nuclear structure models to solve those problems, such as Liquid Drop Model, Shell Model, Fermi Model, etc. Among them, the Collective Model has been very successful in describing the variety of nuclear properties, especially energy levels in deformed nuclei that the Shell Model and the Liquid Drop Model does not apply. This paper presents the application of the Collective Model to determine some vibrational bands of 140La nucleus. This experiment is performed at channel No.2 of Dalat Research Reactor (DRR), Prompt gamma neutron activation analysis method (PGNAA) is used. The result has found 8 vibrational bands of 140La nucleus.  It’s quite relevant to the theoretical calculation. The deviations are less than 1.6 %.


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