scholarly journals Role of ion hydration for the differential capacitance of an electric double layer

2016 ◽  
Vol 18 (40) ◽  
pp. 27796-27807 ◽  
Author(s):  
Daniel L. Z. Caetano ◽  
Guilherme V. Bossa ◽  
Vinicius M. de Oliveira ◽  
Matthew A. Brown ◽  
Sidney J. de Carvalho ◽  
...  
Keyword(s):  
Field Theory ◽  
Double Layer ◽  
Electric Double Layer ◽  
Mean Field Theory ◽  
Mean Field ◽  
Differential Capacitance ◽  
Ion Hydration ◽  
Ion Interactions ◽  
Influence Of Hydration

The influence of hydration-mediated ion–ion interactions on the differential capacitance of an electric double layer is investigated using Monte Carlo simulations and mean-field theory.

Differential capacitance of an electric double layer with asymmetric solvent-mediated interactions: mean-field theory and Monte Carlo simulations

2017 ◽  
Vol 19 (35) ◽  
pp. 23971-23981 ◽  
Author(s):  
Daniel L. Z. Caetano ◽  
Guilherme V. Bossa ◽  
Vinicius M. de Oliveira ◽  
Matthew A. Brown ◽  
Sidney J. de Carvalho ◽  
...  
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Double Layer ◽  
Electrolyte Solution ◽  
Electric Double Layer ◽  
Mean Field Theory ◽  
Mean Field ◽  
Differential Capacitance ◽  
Solvent Structure ◽  
Ionic Size

The differential capacitance of an electrical double layer is directly affected by properties of the electrolyte solution such as temperature, salt concentration, ionic size, and solvent structure.

A mean-field theory on the differential capacitance of asymmetric ionic liquid electrolytes. II. Accounts of ionic interactions

2018 ◽  
Vol 20 (26) ◽  
pp. 17606-17614 ◽  
Author(s):  
Li Yin ◽  
Yike Huang ◽  
Houxian Chen ◽  
Tianying Yan
Keyword(s):  
Field Theory ◽  
Ionic Liquid ◽  
Double Layer ◽  
Electric Double Layer ◽  
Room Temperature ◽  
Mean Field Theory ◽  
Mean Field ◽  
Differential Capacitance ◽  
Room Temperature Ionic Liquid ◽  
Ionic Interactions

A size-asymmetric mean-field theory with ionic interactions is developed for the electric double layer of room temperature ionic liquid (IL) electrolytes, based on the previous work on non-interacting ions (Y. Han et al., J. Phys.: Condens. Matter, 2014, 26, 284103).

scholarly journals Effect of weak disorder on the BCS–BEC crossover in a two-dimensional Fermi gas

2017 ◽  
Vol 31 (09) ◽  
pp. 1750066
Author(s):  
Ayan Khan ◽  
B. Tanatar
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Fermi Gas ◽  
Ultracold Fermi Gas ◽  
Condensate Fraction ◽  
Two Dimensional ◽  
Weak Disorder ◽  
Unique Nature

In this paper, we study the two-dimensional (2D) ultracold Fermi gas with weak impurity in the framework of mean-field theory where the impurity is introduced through Gaussian fluctuations. We have investigated the role of the impurity by studying the experimentally accessible quantities such as condensate fraction and equation of state of the ultracold systems. Our analysis reveals that at the crossover, the disorder enhances superfluidity, which we attribute to the unique nature of the unitary region and to the dimensional effect.

Role of molecular bend angle and biaxiality in the stabilization of the twist-bend nematic phase

Soft Matter ◽  
2020 ◽  
Vol 16 (18) ◽  
pp. 4350-4357 ◽  
Author(s):  
Wojciech Tomczyk ◽  
Lech Longa
Keyword(s):  
Field Theory ◽  
Nematic Phase ◽  
Mean Field Theory ◽  
Mean Field ◽  
Structural Features ◽  
Bend Angle ◽  
Nematic Phases

Within mean-field theory for V-shaped molecules, we have investigated how the alteration of a molecule's structural features influence the stabilization of modulated and non-modulated nematic phases.

scholarly journals Motivation and challenge to capture both large-scale and local transport in next generation accretion theory

2015 ◽  
Vol 81 (5) ◽  
Author(s):  
Eric G. Blackman ◽  
Farrukh Nauman
Keyword(s):  
Field Theory ◽  
Large Scale ◽  
Mean Field Theory ◽  
Mean Field ◽  
Next Generation ◽  
Dynamo Theory ◽  
Non Local ◽  
Local Transport

Accretion disc theory is less developed than stellar evolution theory although a similarly mature phenomenological picture is ultimately desired. While the interplay of theory and numerical simulations has amplified community awareness of the role of magnetic fields in angular momentum transport, there remains a long term challenge to incorporate the insights gained from simulations into improving practical models for comparison with observations. What has been learned from simulations that can lead to improvements beyond SS73 in practical models? Here, we emphasize the need to incorporate the role of non-local transport more precisely. To show where large-scale transport would fit into the theoretical framework and how it is currently missing, we review why the wonderfully practical approach of Shakura & Sunyaev (Astron. Astrophys., vol. 24, 1973, pp. 337–355, SS73) is necessarily a mean field theory, and one which does not include large-scale transport. Observations of coronae and jets, combined with the interpretation of results from shearing box simulations, of the magnetorotational instability (MRI) suggest that a significant fraction of disc transport is indeed non-local. We show that the Maxwell stresses in saturation are dominated by large-scale contributions and that the physics of MRI transport is not fully captured by a viscosity. We also clarify the standard physical interpretation of the MRI as it applies to shearing boxes. Computational limitations have so far focused most attention toward local simulations, but the next generation of global simulations should help to inform improved mean field theories. Mean field accretion theory and mean field dynamo theory should in fact be unified into a single theory that predicts the time evolution of spectra and luminosity from separate disc, corona and outflow contributions. Finally, we note that any mean field theory, including that of SS73, has a finite predictive precision that needs to be quantified when comparing the predictions to observations.

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