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\signature{\'Oscar A. Barbosa} % Your name for the signature at the bottom
\address{Bogot\'a, Colombia.}%, 111321.  \\+57 312 491 0666}  % Your address and phone number 
\begin{document}
%% =========================================================================
%% at the Granular Media Laboratory of the University of Navarra, Spain. The contract, with a salary of about, will begin between Octuber
%% interests of the group within the field of non-equilibrium statistical physics, with focus on modelling of soft and active matter rheology and non-equilibrium dynamics on networks (non-equilibrium kinetics in complex mixtures and glassy dynamics on random graphs). Significant expertise in non-equilibrium statistical physics.
%%=========================================================================
\begin{letter}{Granular Media Laboratory of the University of Navarra\\
    Professors Iker Zuriguel and Ángel Garcimartin.
  }
\opening{\textbf{Re: Statement of Motivation for applying for the postdoctoral position on Robot Traffic.}\\[\baselineskip]
  Dear Professors Iker Zuriguel and Ángel Garcimartin:}

This letter is intended as an introduction to my professional statement and a description of my research experience and interests, aimed thereby at supportingthe pertinence of my application for
%an announced postdoctoral position within the group of professor Peter Sollich, which concerns the development of research activity on soft and active matter and nonequilibrium behavior on complex networks.\par
the postdoctoral position on robot traffic at the Laboratory of Granular Media of the University of Navarra.\par
%This letter is intended as a brief comment on my research experience and an account of the skills that, up to this point, I have acquired oduring my career. Thus, throguh this, I expect to convey an appropriate foundation from which you might be able to evaluate  my application for this position.
%
%Thus, I intend it to be a comment on my research experience from which you might obtain a general view on how the skill and knowledge that I have acquired would allow me to carry out the duties of this role.
%Thus, through this text I will sketch my experience and use it as a basis for describing the manner in which I gained the appropriate knowledge and skills to carry out the research duties entailed in this position. 
%Thus, it is intended as a comment conveying  
%the proper details to support my application. 
%appropriate details from which you might be able...
%suitable details to give you a basis from which you might be able to evaluate  my application for thi position.
%which you might be able to evaluate  my application for this position.
I did my PhD and MSc studies at the Institute of Physics of the University of São Paulo, Brazil, studying
%% paradigmatic models of statistical mechanics
%% subject to irreversible dynamical rules
under approaches founded on stochastic thermodynamics
%% paradigmatic models of condensed matter under an approach founded on nonequilibrium stochastic thermodynamics and statistical mechanics. 
 models of statistical mechanics 
 defined explicitly through irreversible dynamical rules.
%% This research was formulated according to methods founded on stochastic thermodynamics, hence framed within the body of statistical mechanics.
%% The analysis was done by an approach based on statistical mechanics and stochastic thermodynamics nonequilibrium versions of
The accomplished projects were proposed as studies of nonequilibrium critical phase transitions based on the characterisation of the divergent behavior the rate of entropy production, although some stochastic models of traffic jams were also considered.  
%% The method for this research was particularly formulated to carry out analysis of nonequilibrium phase transitions,  especially according to the manner in which the selfsame were reflected in the critical behavior of the rate of entropy production.
%according to the manner in which these were outlined by the rate of entropy production.
%by means of the rate of entropy production.
%intending to promote the pertinence of this quantity to the study of nonequilibrium systems.
%the subject of my research was the characterization of nonequilibrium critical phase transitions by means of the rate of entropy production.
%
I also have experience in the field of quantum information, as aiming to carry out the research on which I based the dissertation required for graduation, during my undergraduate studies at the National University of Colombia I joined the group of Chaos and Complexity of the Physics Department. My work with them consisted in evaluating chaos as a manner to enhance the generation of entanglement, especially in multipartite systems.
%
%With regard the undergraduate studies, I completed a BSc in physics at the National University of Colombia. There, to fulfill the research requirement for graduation, I joined the group of quantum information and chaos of the Physics Department. My work with them constituted the evaluation of chaos as a manner to enhance the generation of multipartite entanglement in chains of qubits. Obtaining the appropriate qualitative and quantitative description for fully characterize the system in both of these cases entailed the consideration of advanced approaches as random matrix theory and second order mean-field approximations. It was also necessary the improvement of some simulation techniques, as it was done with standard Monte Carlo and the five point stencil for derivatives.
%
% Besides,
%
%to attain the Physics degree/for graduating in Physics previously I had completed a BSc in physics at the National University of Colombia. where, among others, I took some courses on numerical methods and simulation of physical systems.
%
%I joined the chaos and complexity group of the Physics Department. There, my work mainly involved the evaluation of possible instances where the presence of chaos might favor the generation of entanglement.
%
%To fully comprehend the system in both of these studies, qualitatively and quantitatively (despite the restricted computational resources), 
%of a thorough understanding of advanced methods 
%
%In both cases the comprehension of the system required approaches founded on sophisticated methods, as random matrix theory and second order mean-field approximation,  and also the development of exhaustive numerical simulations, as enhanced implementation of Monte Carlo and five points derivative calculations, thoroughly restricted by limited computational resources.
\par Obtaining the appropriate qualitative and quantitative description for fully characterize the system in both of these cases 
%To fully comprehend the system in both of these studies, qualitatively and quantitatively (despite the restricted computational resources), 
entailed the usage of 
%of a thorough understanding of advanced methods 
nontrivial approaches as random matrix theory and second order mean-field approximations. It also became necessary to improve the available numerical and simulational techniques, as it was the case with the standard five point stencil for derivatives and Monte Carlo. 
%In both cases the comprehension of the system required approaches founded on sophisticated methods, as random matrix theory and second order mean-field approximation,  and also the development of exhaustive numerical simulations, as enhanced implementation of Monte Carlo and five points derivative calculations, thoroughly restricted by limited computational resources.
%
\par During my postgraduate studies I enhanced my knowledge of statistical mechanics and thermodynamics; also, I gained insight into the foundations of stochastic processes and irreversibility.
%its approach from stochastic thermodynamics,
%the particular characteristics of, 
%thereby developing skill and understanding of its conceptual structure and related techniques.
Still, even since the last period of my undergraduate studies I began to gather experience on the realization of an exhaustive study concerning a topic of current relevance.
%its approach from stochastic thermodynamics,
%the particular characteristics of, 
Actually, through my participation in the Chaos and Complexity group I deepened my understanding of quantum mechanics and my perception about the importance of statistics and simulations in physics. 

At this moment in time my main objective is the improvement of my research ability, emphasizing on my skill to perceive and analyze stochasticity in its relation to the intrinsic and most relevant
%properties of critical and nonequilibrium phenomena
characteristics of physical systems. 
Besides, my participation in different fields of study, whilst always working with simulations and using techniques relevant to statistical mechanics, allows me to appropriately keep in perspective the fundamental aspects of the research related to collective behavior and criticality. This, moreover, gives me tools that would allow me to assimilate efficiently the techniques and methodologies that I should learn for accomplishing the duties entailed in this position.
 %works, which I have published and presented in conferences, and also from the recognition that I have gained among my colleagues. Ultimately, I must thank you for considering my application..
%published works and my participation in conferences, and also from
%my recognition that I have gained among my colleagues.
%the recognition that I have among my colleagues.
Ultimately, I must thank you for considering my application.
%
%Moreover, going through the interface between these fields enriches my perspective on the general structure of physics and gives me tools for assimilating efficiently further techniques and methodologies.
%and, moreover, made possible for me to have an early entrance to the professional research context.

%% From then on, I have been always in pursuit of the consolidation of this aptitude,  emphasizing on my capability to perceive and sensibly analyze stochasticity in its relation to the intrinsic and most relevant
%% %properties of critical and nonequilibrium phenomena
%% characteristics of physical systems. Thus, during the postgraduate studies I became immersed in the theory of nonequilibrium statistical mechanics through a study on the critical behavior of the rate of entropy production in irreversible stochastic models. Thereby I have developed the analytical and practical skills that makes me an appropriate candidate for this position, as it could be inferred from my works, which I have published and presented in conferences, and also from the recognition that I have gained among my colleagues. Ultimately, I must thank you for considering my application.

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\closing{Sincerely,}
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