40 citations · 255 across the 20 of their papers we have counts for
21 papers
Physics-based logarithmic description of electrostatic field enhancement in hemisphere-on-cylindrical-post structures for high-field applications
Thiago A. de Assis, Fernando F. Dall-Agnol, Richard G. Forbes
Electrostatic (ES) field enhancement at sharp conducting structures plays a central role in lightning protection, corona discharge, electrical breakdown in vacuum (for example in p…
Universal scaling relation for growth phenomena
Evandro A. Rodrigues, Edwin E. Mozo Luis, Thiago A. de Assis +1
The Family-Vicsek relation is a seminal universal relation obtained for the global roughness at the interface of two media in the growth process. In this work, we revisit the scali…
Universal scaling of electrostatic effects of a curved counter-electrode on the emitter field enhancement
Thiago A. de Assis, Fernando F. Dalll'Agnol
Experiments on field electron emission from single-tip nanoemitters have typically been carried out using a counter-electrode with a finite curvature radius , positioned at a di…
Bifractality in one-dimensional Wolf-Villain model
Edwin E. Mozo Luis, Silvio C. Ferreira, Thiago A. de Assis
We introduce a multifractal optimal detrended fluctuation analysis to study the scaling properties of the one-dimensional Wolf-Villain (WV) model for surface growth. This model pro…
Field emitter electrostatics: efficient improved simulation technique for highly precise calculation of field enhancement factors
Fernando F. Dall'Agnol, Thiago A. de Assis, Richard G. Forbes
When solving the Laplace equation numerically via computer simulation, in order to determine the field values at the surface of a shape model that represents a field emitter, it is…
Field emitter electrostatics: a review with special emphasis on modern high-precision finite-element modelling
Thiago A. de Assis, Fernando F. Dall'Agnol, Richard G. Forbes
This review of quantitative field emitter electrostatics, covering analytical, numerical and fitted-formula approaches, is thought the first of its kind. The review relates chiefly…
Statistics of adatom diffusion in a model of thin film growth
Edwin E. Mozo Luis, Ismael S. S. Carrasco, Thiago A. de Assis +1
We study the statistics of the number of executed hops of adatoms at the surface of films grown with the Clarke-Vvedensky (CV) model in simple cubic lattices. The distributions of…
Markov chain approach to anomalous diffusion on Newman-Watts networks
Alfonso Allen-Perkins, Alfredo Blanco Serrano, Thiago Albuquerque de Assis +2
A Markov chain (MC) formalism is used to investigate the mean-square displacement (MSD) of a random walker on Newman-Watts (NW) networks. It leads to a precise analysis of the cond…
Minimal domain size necessary to simulate the field enhancement factor numerically with specified precision
Thiago A. de Assis, Fernando F. Dall'Agnol
In the literature about field emission, finite elements and finite differences techniques are being increasingly employed to understand the local field enhancement factor (FEF) via…
Physics-based derivation of a formula for the mutual depolarization of two post-like field emitters
Fernando F. Dall'Agnol, Thiago A. de Assis, Richard G. Forbes
Recent analyses of the field enhancement factor (FEF) from multiple emitters have revealed that the depolarization effect is more persistent with respect to the separation between…
Superdiffusion on complex networks: the role of shortcuts and long-range interactions
Alfonso Allen-Perkins, Alfredo Blanco Serrano, Thiago Albuquerque de Assis +2
This work addresses the superdiffusive motion of a discrete time random walker on ordered discrete substrates and complex networks with the presence of long-range interactions (LRI…
Origin of the literature discrepancies in the fractional reduction of the apex-field enhancement factor considering small clusters of field emitters
Thiago A. de Assis, Fernando F. Dall'Agnol
Numerical simulations are important when assessing the many characteristics of field emission related phenomena. In small simulation domains, the electrostatic effect from the boun…
Interplay between morphological and shielding effects in field emission via Schwarz-Christoffel transformation
Edgar Marcelino, Thiago A. de Assis, Caio M. C. de Castilho
It is well known that sufficiently strong electrostatic fields are able to change the morphology of Large Area Field Emitters (LAFEs). This phenomenon affects the electrostatic int…
Unexpected validity of Schottky's conjecture for two-stage field emitters: a response via Schwarz-Christoffel transformation
Edgar Marcelino, Thiago A. de Assis, Caio M. C. de Castilho
The electric field in the vicinity of the top of an emitter with a profile consisting of a triangular protrusion on an infinite line is analytically obtained when this system is un…
Optimal detrended fluctuation analysis as a tool for the determination of the roughness exponent of the mounded surfaces
Edwin E. Mozo Luis, Thiago A. de Assis, Silvio C. Ferreira
We present an optimal detrended fluctuation analysis (DFA) and applied it to evaluate the local roughness exponent in non-equilibrium surface growth models with mounded morphology.…
Nanostructures mechanically stable with desirable characteristic field enhancement factor: a response from scale invariance in electrostatics
Thiago A. de Assis, Fernando F. Dall'Agnol
This work presents an accurate numerical study of the electrostatics of systems formed by individual nanostructure mounted on support substrate tip, a theoretical prototype for app…
The consequences of dependence between the formal area efficiency and the macroscopic electric field on linearity behavior in Fowler-Nordheim plots
Thiago A. de Assis, Fernando F. DAgnol, Roberto F. S. Andrade
This work presents a theoretical explanation for a crossover in the linear behavior in Fowler-Nordheim (FN) plots based on cold field electron emission (CFE) experimental data. It…
The role of Hurst exponent on cold field electron emission from conducting materials: from electric field distribution to Fowler-Nordheim plots
T. A. de Assis
This work considers the effects of the Hurst exponent () on the local electric field distribution and the slope of the Fowler-Nordheim (FN) plot when considering the cold field…
Height distribution of equipotential lines in a region confined by a rough conducting boundary
C. P. de Castro, T. A. de Assis, C. M. C. de Castilho +1
This work considers the behavior of the height distributions of the equipotential lines in a region confined by two interfaces: a cathode with an irregular interface and a distant…
Relaxation after a change in the interface growth dynamics
T. A. de Assis, F. D. A. Aarão Reis
The global effects of sudden changes in the interface growth dynamics are studied using models of the Edwards-Wilkinson (EW) and Kardar-Parisi-Zhang (KPZ) classes during their grow…
Thin film deposition with time varying temperature
T. A. de Assis, F. D. A. A. Reis
We study the effects of time-dependent substrate/film temperature in the deposition of a mesoscopically thick film using a statistical model that accounts for diffusion of adatoms…