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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
OAChacón-Acosta, G., García-Perciante, A.L., Méndez, A. (2026).Relativistic Equilibrium Distribution of Rapidity: A Kinetic Theory Perspective. Springer Aerospace Technology,1507273-281
Chacón-Acosta, G., Hernández-Hernández, H., Ruvalcaba-Rascón, J. (2026).Semiclassical effective description of a quantum particle on a sphere with non-central potential. Annals of Physics,490
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
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)
OAChacón-Acosta, G., Núñez-López, M. (2024).Entropy Production in Reaction–Diffusion Systems Confined in Narrow Channels. Entropy,26(6)
Chacón-Acosta, G., Hernández-Hernández, H., Ruvalcaba-Rascón, J. (2024).Effective description of a quantum particle constrained to a catenoid. Annals of Physics,467
OAJ Sevilla, F., Chacón-Acosta, G., Sandev, T. (2024).Anomalous diffusion of self-propelled particles. Journal of Physics A: Mathematical and Theoretical,57(33)
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)
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)
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)
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)
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
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
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 |
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)
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)
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., Hernández-Hernández, H., Velázquez, M. (2021).Effective dynamics of the quantum falling particle. European Journal of Physics,42(1)
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)
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
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 |
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)
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

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Courses taught by the professor in recent trimesters

*Courses are conducted in spanish

Num.Trim.Course NameLevel
1
26I
Proyecto de Investigación IIIPosgrado
2
26I
Proyecto Terminal ILicenciatura
3
26I
Proyecto Terminal IILicenciatura
4
26I
Proyecto Terminal IILicenciatura
5
26I
Proyecto Terminal IILicenciatura
6
26I
Física ClásicaLicenciatura
7
25O
Proyecto de Investigación IIPosgrado
8
25O
Seminario IIPosgrado
9
25O
Proyecto Terminal ILicenciatura
10
25O
Proyecto Terminal ILicenciatura
11
25O
Estadística IILicenciatura
12
25O
Calculo EstocásticoLicenciatura
13
25P
Proyecto Terminal IIILicenciatura
14
25P
Temas Selectos IIIPosgrado
15
25P
Seminario IIIPosgrado
16
25P
Seminario IIIPosgrado
17
25P
Proyecto Terminal IIILicenciatura
18
25P
Proyecto Terminal ILicenciatura
19
25P
Proyecto Terminal ILicenciatura
20
25P
Proyecto de Investigación IPosgrado
21
25P
Probabilidad IILicenciatura
22
25P
Mecánica CuánticaLicenciatura
23
25I
Proyecto Terminal IILicenciatura
24
25I
Temas Selectos IVPosgrado
25
25I
Seminario IPosgrado
26
25I
Proyecto Terminal IIILicenciatura
27
25I
Proyecto Terminal IIILicenciatura
28
25I
Proyecto de Investigación IIIPosgrado
29
25I
Mecánica EstadísticaLicenciatura
30
25I
Ecuaciones Diferenciales ParcialesLicenciatura
31
24O
Estadística IILicenciatura
32
24O
Temas Selectos IPosgrado
33
24O
Taller de Literacidad AcadémicaLicenciatura
34
24O
Seminario IIPosgrado
35
24O
Proyecto Terminal ILicenciatura
36
24O
Proyecto de Investigación IIPosgrado
37
24O
Calculo EstocásticoLicenciatura
38
24O
Proyecto Terminal IILicenciatura
39
24P
Matemáticas Aplicadas IIPosgrado
40
24P
Probabilidad IILicenciatura
41
24P
Proyecto de Investigación IPosgrado
42
24P
Proyecto Terminal ILicenciatura
43
24P
Proyecto Terminal ILicenciatura
44
24P
Proyecto Terminal ILicenciatura
45
24I
Ecuaciones Diferenciales ParcialesLicenciatura
46
24I
Mecánica CuánticaLicenciatura
47
24I
Métodos MatemáticosPosgrado
48
24I
Seminario IPosgrado
49
23O
Estadística IILicenciatura
50
23O
Taller de MatemáticasLicenciatura
51
23O
Proyecto Terminal IIILicenciatura
52
23P
Proyecto Terminal IILicenciatura
53
23P
Temas Selectos de Matemáticas Aplicadas ILicenciatura
54
23P
Temas Selectos de Matemáticas Aplicadas IIILicenciatura
55
23I
Ecuaciones Diferenciales ParcialesLicenciatura
56
23I
Proyecto Terminal ILicenciatura
57
23I
Temas Selectos de Matemáticas Aplicadas IILicenciatura
58
23I
Temas Selectos de Matemáticas Aplicadas IVLicenciatura
59
22O
Calculo EstocásticoLicenciatura
60
22O
Calculo IILicenciatura
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Universidad Autónoma Metropolitana, 2026.