scholarly journals Controlling ion transport through nanopores: modeling transistor behavior

2018 ◽  
Vol 20 (37) ◽  
pp. 24156-24167 ◽  
Author(s):  
Eszter Mádai ◽  
Bartłomiej Matejczyk ◽  
András Dallos ◽  
Mónika Valiskó ◽  
Dezső Boda
Keyword(s):  
Monte Carlo ◽  
Ion Transport ◽  
Hybrid Method ◽  
Local Equilibrium ◽  
Mean Field ◽  
Finite Size ◽  
Continuum Theory ◽  
Particle Simulation ◽  
Modeling Study

We present a modeling study of a nanopore-based transistor computed by a mean-field continuum theory (Poisson–Nernst–Planck, PNP) and a hybrid method including particle simulation (Local Equilibrium Monte Carlo, LEMC) that is able to take ionic correlations into account including the finite size of ions.

scholarly journals Beyond Lee-Huang-Yang description of self-bound Bose mixtures

2020 ◽  
Vol 9 (2) ◽  
Author(s):  
Miki Ota ◽  
Gregory Astrakharchik
Keyword(s):  
Monte Carlo ◽  
Excellent Agreement ◽  
Quantum Monte Carlo ◽  
Mean Field ◽  
Finite Size ◽  
Pitaevskii Equation ◽  
Phonon Modes ◽  
Type Interaction ◽  
The Stability ◽  
The One

We investigate the properties of self-bound ultradilute Bose-Bose mixtures, beyond the Lee-Huang-Yang description. Our approach is based on the determination of the beyond mean-field corrections to the phonon modes of the mixture in a self-consistent way and calculation of the associated equation of state. The newly obtained ground state energies show excellent agreement with recent quantum Monte Carlo calculations, providing a simple and accurate description of the self-bound mixtures with contact type interaction. We further show numerical results for the equilibrium properties of the finite size droplet, by adjusting the Gross-Pitaevskii equation. Our analysis is extended to the one-dimensional mixtures where an excellent agreement with quantum Monte Carlo predictions is found for the equilibrium densities. Finally, we discuss the effects of temperature on the stability of the liquid phase.

Computer modeling of polymer stars in variable solvent conditions: a comparison of MD simulations, self-consistent field (SCF) modeling and novel hybrid Monte Carlo SCF approach

Soft Matter ◽  
2021 ◽  
Author(s):  
Alexander D. Kazakov ◽  
Varvara M. Prokacheva ◽  
Filip Uhlík ◽  
Peter Košovan ◽  
Frans A. M. Leermakers
Keyword(s):  
Monte Carlo ◽  
Hybrid Method ◽  
Mean Field ◽  
Md Simulations ◽  
Coarse Grained ◽  
Hybrid Monte Carlo ◽  
Mean Field Models ◽  
Consistent Field ◽  
Self Consistent ◽  
Self Consistent Field

We present a hybrid method based on a combination of coarse-grained and mean-field models for simulation of polymer solutions.

MONTE CARLO METHOD FOR SPIN MODELS WITH LONG-RANGE INTERACTIONS

1995 ◽  
Vol 06 (03) ◽  
pp. 359-370 ◽  
Author(s):  
ERIK LUIJTEN ◽  
HENK W.J. BLÖTE
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Long Range ◽  
Amplitude Ratio ◽  
Mean Field ◽  
Finite Size ◽  
System Size ◽  
Spin Models ◽  
Dimensionless Amplitude ◽  
Long Range Interactions

We introduce a Monte Carlo method for the simulation of spin models with ferromagnetic long-range interactions in which the amount of time per spin-flip operation is independent of the system size, in spite of the fact that the interactions between each spin and all other spins are taken into account. We work out two algorithms for the q-state Potts model and discuss the generalization to systems with other interactions and to O (n) models. We illustrate the method with a simulation of the mean-field Ising model, for which we have also analytically calculated the leading finite-size correction to the dimensionless amplitude ratio <m2>2/<m4> at the critical temperature.

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...

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