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Perfil investigador
Esp
Dr. Guillermo Chacón Acosta

Professor
Departament of Applied Mathematics and Systems

Division of Natural Sciences and Engineering


Level 2
Member of the National System of Researchers
(SNII)

Physics-Mathematics and Earth Sciences



Cuajimalpa Campus

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Sustainable Development Goals

• 15 Life on Land


Research interests

• Dissemination processes in confined systems
• Kinetic theory of relativistic systems: fluids
• Econophisic: Agent models for distribution
• Polymeric quantum systems and approach

Profile

Doctor Guillermo Chacón Acosta (CDMX, 1981) is a Mexican research professor. He studied from undergraduate to a doctorate at the Universidad Autónoma Metropolitana (UAM). During his master's degree, he stayed at the Federal University of Paraná with Professor Gilberto Kremer, and during his doctorate at the University of Mainz and the Pennsylvania State University.

He has specialized in the study of the in- and out-of-equilibrium statistical physics of various systems, particularly relativistic high-temperature gases. He has also worked on applying these tools to quantum systems for the study of the phenomenology of quantum gravity and recently on social processes such as model economies and option price variation. Currently, he has started to work on the study of diffusion theory in confined systems, curved surfaces, and networks, being of interest the mathematics behind pattern formation.

He has 51 scientific articles and four collective book editions. He has presented about 130 papers, from specialized international forums to scientific dissemination talks. He has supervised ten theses at all levels, from undergraduate to doctoral. He has organized around ten national and international events. He has been a referee in several scientific journals and has been part of several evaluation committees. From 2015-2017 he was a member of the board of directors of the Division of Gravitation and Mathematical Physics of the Mexican Society of Physics, and from 2015 to 2018, he was the Coordinator of the Graduate Program in Natural Sciences and Engineering at the Universidad Autónoma Metropolitana (UAM).

He has been a National System of Researchers member since 2013 and currently holds the Level I distinction.



Information provided by the academic staff

Research interests

• Dissemination processes in confined systems
• Kinetic theory of relativistic systems: fluids
• Econophisic: Agent models for distribution
• Polymeric quantum systems and approach

Academic Work

On the following pages you can consult the research work:



Other sites of interest

Consult the research work on other websites:






Some examples of publications

Select the bibliographic reference to consult each publication:


Open Access References UN SDGs
Javier Valdez, C.R., Hernandez-Hernandez, H., Chacón-Acosta, G. (2025).Effective description of the quantum damped harmonic oscillator: revisiting the Bateman dual system. Physica Scripta,100(3)
OAChacón-Acosta, G., Perez-Rodriguez, A. (2025).Dynamics of Subordinate Fractional Diffusion Moments on Curved Surfaces at Short Times. Dynamics,5(4)
Chacón-Acosta, G., Del Valle, D. (2025).Effect of Stochastic Resetting on the Fractional Black-Scholes Equation. Modeling and Optimization in Science and Technologies,21101-115
OAGórska, K., Sevilla, F.J., Chacón-Acosta, G. and 1 more (...) (2024).Fractional Telegrapher’s Equation under Resetting: Non-Equilibrium Stationary States and First-Passage Times. Entropy,26(8)
OAJ Sevilla, F., Chacón-Acosta, G., Sandev, T. (2024).Anomalous diffusion of self-propelled particles. Journal of Physics A: Mathematical and Theoretical,57(33)
Chacón-Acosta, G., Hernández-Hernández, H., Ruvalcaba-Rascón, J. (2024).Effective description of a quantum particle constrained to a catenoid. Annals of Physics,467
OAChacón-Acosta, G., Núñez-López, M. (2024).Entropy Production in Reaction–Diffusion Systems Confined in Narrow Channels. Entropy,26(6)
OAGarcía-Perciante, A.L., Méndez, A.R., Chacón-Acosta, G. (2024).The Rayleigh-Brillouin spectrum for bidimensional relativistic fluids in the relaxation approximation. AIP Conference Proceedings,2996(1)
Chacón-Acosta, G., León-Ramírez, A., González-Gaxiola, O. (2023).Biharmonic Fick–Jacobs diffusion in narrow channels. Physica A: Statistical Mechanics and its Applications,628
Ledesma-Durán, A., León-Velasco, D.A., Chacón-Acosta, G. and 1 more (...) (2023).Surface diffusion in narrow channels on curved domains. Physical Review E,107(3)
OALeón-Ramírez, A., González-Gaxiola, O., Chacón-Acosta, G. (2023).Analytical Solutions to the Chavy-Waddy–Kolokolnikov Model of Bacterial Aggregates in Phototaxis by Three Integration Schemes. Mathematics,11(10)
OASalazar, J.F., García-Perciante, A.L., Méndez, A.R. and 1 more (...) (2023).Stability Analysis of a Self-Gravitating Fluid within EIT Theory. Universe,9(7)
OAChacon-Acosta, G., Salas, R.O. (2022).Projection of the two-dimensional Black-Scholes equation for options with underlying stock and strike prices in two different currencies. Revista Mexicana de Fisica,68(1)
OAGonzález-Gaxiola, O., León-Ramírez, A., Chacón-Acosta, G. (2022).Application of the Kudryashov Method for Finding Exact Solutions of the Schamel – Kawahara Equation. Russian Journal of Nonlinear Dynamics,18(2) 203-215
Cervantes-Ojeda, J., Gómez-Fuentes, M., Chacón-Acosta, G. (2022).Can non-developers learn a simplified modeling notation quickly?. Journal of Software: Evolution and Process,34(8)
Méndez, A.R., García-Perciante, A.L., Chacón-Acosta, G. (2022).Dissipative Properties of Degenerate Relativistic Gases: The Complete Kernel Calculation in a (d+ 1) Flat Space-Time. Journal of Statistical Physics,186(3)
Castellanos, E., Chacón-Acosta, G., Mastache, J. (2022).Nonrelativistic Boson stars as N-body quantum systems. International Journal of Modern Physics D,31(7)
Núñez-López, M., Chacón-Acosta, G. (2022).Pattern formation in a predator–prey system with a finite interaction range in a channel-like region using the Fick–Jacobs diffusion approach. Physica D: Nonlinear Phenomena,433| 15 |
OAChacón-Acosta, G., Ángeles-Sánchez, V. (2021).Effect of savings on a gas-like model economy with credit and debt. Entropy,23(2) 1-13| 8| 10 |
OALeón-Velasco, D.A., Chacón-Acosta, G. (2021).Full Finite Element Scheme for Reaction-Diffusion Systems on Embedded Curved Surfaces in ℝ3. Advances in Mathematical Physics,2021
Chacón-Acosta, G., Garcia-Chung, A. (2021).The relation between the symplectic group Sp (4, R) and its Lie algebra: Applications to polymer quantum mechanics. Physical Review D,104(12)
Chacón-Acosta, G., Hernández-Hernández, H., Velázquez, M. (2021).Effective dynamics of the quantum falling particle. European Journal of Physics,42(1)
Méndez, A.R., García-Perciante, A.L., Chacón-Acosta, G. (2021).Dissipation in 2D degenerate gases with non-vanishing rest mass. Physica A: Statistical Mechanics and its Applications,567
Chacón-Acosta, G., Núñez-López, M., Pineda, I. (2020).Turing instability conditions in confined systems with an effective position-dependent diffusion coefficient. Journal of Chemical Physics,152(2)
OAMéndez, A.R., García-Perciante, A.L., Chacón-Acosta, G. (2020).Thermal Dissipation in Two Dimensional Relativistic Fermi Gases with a Relaxation Time Model. Journal of Statistical Physics,178(4) 936-953
OAAragón-Muñoz, L., Chacón-Acosta, G., Hernandez-Hernandez, H. (2020).Effective quantum tunneling from a semiclassical momentous approach. International Journal of Modern Physics B,34(29)

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Courses taught by the professor in recent trimesters

*Courses are conducted in spanish

Num.Trim.Course NameLevel
1
25O
Estadística IILicenciatura
2
25O
Calculo EstocásticoLicenciatura
3
25O
Proyecto de Investigación IIPosgrado
4
25O
Seminario IIPosgrado
5
25O
Proyecto Terminal ILicenciatura
6
25O
Proyecto Terminal ILicenciatura
7
25P
Probabilidad IILicenciatura
8
25P
Mecánica CuánticaLicenciatura
9
25P
Proyecto Terminal ILicenciatura
10
25P
Proyecto Terminal ILicenciatura
11
25P
Proyecto Terminal IIILicenciatura
12
25P
Proyecto Terminal IIILicenciatura
13
25P
Seminario IIIPosgrado
14
25P
Seminario IIIPosgrado
15
25P
Proyecto de Investigación IPosgrado
16
25P
Temas Selectos IIIPosgrado
17
25I
Ecuaciones Diferenciales ParcialesLicenciatura
18
25I
Temas Selectos IVPosgrado
19
25I
Proyecto de Investigación IIIPosgrado
20
25I
Seminario IPosgrado
21
25I
Proyecto Terminal IIILicenciatura
22
25I
Proyecto Terminal IIILicenciatura
23
25I
Proyecto Terminal IILicenciatura
24
25I
Mecánica EstadísticaLicenciatura
25
24O
Temas Selectos IPosgrado
26
24O
Proyecto de Investigación IIPosgrado
27
24O
Seminario IIPosgrado
28
24O
Taller de Literacidad AcadémicaLicenciatura
29
24O
Proyecto Terminal ILicenciatura
30
24O
Estadística IILicenciatura
31
24O
Calculo EstocásticoLicenciatura
32
24O
Proyecto Terminal IILicenciatura
33
24P
Probabilidad IILicenciatura
34
24P
Proyecto Terminal ILicenciatura
35
24P
Proyecto Terminal ILicenciatura
36
24P
Proyecto Terminal ILicenciatura
37
24P
Proyecto de Investigación IPosgrado
38
24P
Matemáticas Aplicadas IIPosgrado
39
24I
Ecuaciones Diferenciales ParcialesLicenciatura
40
24I
Mecánica CuánticaLicenciatura
41
24I
Seminario IPosgrado
42
24I
Métodos MatemáticosPosgrado
43
23O
Taller de MatemáticasLicenciatura
44
23O
Proyecto Terminal IIILicenciatura
45
23O
Estadística IILicenciatura
46
23P
Temas Selectos de Matemáticas Aplicadas ILicenciatura
47
23P
Temas Selectos de Matemáticas Aplicadas IIILicenciatura
48
23P
Proyecto Terminal IILicenciatura
49
23I
Temas Selectos de Matemáticas Aplicadas IILicenciatura
50
23I
Temas Selectos de Matemáticas Aplicadas IVLicenciatura
51
23I
Ecuaciones Diferenciales ParcialesLicenciatura
52
23I
Proyecto Terminal ILicenciatura
53
22O
Calculo EstocásticoLicenciatura
54
22O
Calculo IILicenciatura
55
22P
Proyecto Terminal IIILicenciatura
56
22P
Proyecto de Investigación Doctoral XIIPosgrado
57
22I
Proyecto de Investigación Doctoral XIPosgrado
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