activity
20202025
most citedThe Kardar-Parisi-Zhang exponents for the dimensions

25 citations · 106 across the 9 of their papers we have counts for

collaborators

9 papers

cond-mat.mtrl-sci2025

Hexagonal ice density dependence on inter atomic distance changes due to nuclear quantum effects

Lucas T. S. de Miranda, Márcio S. Gomes-Filho, Mariana Rossi +2

Hexagonal ice (), the most common structure of ice, displays a variety of fascinating properties. Despite major efforts, a theoretical description of all its properties i…

cond-mat.soft2024

Free energy of self-avoiding polymer chain confined between parallel walls

Marcio S. Gomes-Filho, Eugene M. Terentjev

Understanding and computing the entropic forces exerted by polymer chains under confinement is important for many reasons, from research to applications. However, extracting proper…

cond-mat.stat-mech2024★ 8 cited

Restoring the fluctuation-dissipation theorem in Kardar-Parisi-Zhang universality class through a new emergent fractal dimension

Márcio S. Gomes-Filho, Pablo de Castro, Danilo B. Liarte +1

The Kardar-Parisi-Zhang (KPZ) equation describes a wide range of growth-like phenomena, with applications in physics, chemistry and biology. There are three central questions in th…

cond-mat.stat-mech2023★ 9 cited

The Fluctuation-Dissipation Relations: Growth, Diffusion, and Beyond

Márcio Sampaio Gomes-Filho, Luciano Calheiros Lapas, Ewa Gudowska-Nowak +1

In this review, we scrutinize historical and modern results on the linear response of dynamical systems to external perturbations with a particular emphasis on the celebrated relat…

cond-mat.stat-mech2022★ 10 cited

Size and Quality of Quantum Mechanical Data Sets for Training Neural Network Force Fields for Liquid Water

Márcio S. Gomes-Filho, Alberto Torres, Alexandre Reily Rocha +1

Molecular dynamics simulations have been used in different scientific fields to investigate a broad range of physical systems. However, the accuracy of calculation is based on the…

cond-mat.stat-mech2022★ 23 cited

The fractal geometry of growth: fluctuation-dissipation theorem and hidden symmetry

Petrus H. R. dos Anjos, Márcio S. Gomes-Filho, Washington S. Alves +2

Growth in crystals can be { usually } described by field equations such as the Kardar-Parisi-Zhang (KPZ) equation. While the crystalline structure can be characterized by Euclidean…

cond-mat.stat-mech2021★ 18 cited

Modeling the diffusion-erosion crossover dynamics in drug release

Márcio Sampaio Gomes-Filho, Fernando Albuquerque Oliveira, Marco Aurélio Alves Barbosa

A computational model is proposed to investigate drug delivery systems in which erosion and diffusion mechanisms are participating in the drug release process. Our approach allowed…

cond-mat.stat-mech2021★ 13 cited

The hidden fluctuation-dissipation theorem for growth

Márcio S. Gomes-Filho, Fernando A. Oliveira

In a stochastic process, where noise is always present, the fluctuation-dissipation theorem (FDT) becomes one of the most important tools in statistical mechanics and, consequently…

cond-mat.stat-mech2020★ 25 cited

The Kardar-Parisi-Zhang exponents for the dimensions

Márcio S. Gomes-Filho, André L. A. Penna, Fernando A. Oliveira

The Kardar-Parisi-Zhang (KPZ) equation has been connected to a large number of important stochastic processes in physics, chemistry and growth phenomena, ranging from classical to…