Vladimir García Morales

 

Private

Scientific work

Fractals and Cellular Automata

Diagrammatic approach to cellular automata and the emergence of form with inner structure, Commun. Nonlinear Sci. Numer. Simulat. 63, 117 (2018)

From deterministic cellular automata to coupled map lattices, J. Phys. A: Math. Theor. 49, 295101 (2016)

Semipredictable dynamical systems, Commun. Nonlinear Sci. Numer. Simulat. 39, 81 (2016)

Cellular automaton for chimera states, EPL 114, 18002 (2016)

Fractal surfaces from simple arithmetic operations, Physica A 447, 535 (2016)

The pλn fractal decomposition: Nontrivial partitions of conserved physical quantities, Chaos Sol. Fract. 83, 27 (2016)

Origin of complexity and conditional predictability in cellular automata, Phys. Rev. E, 88, 042814 (2013)

Symmetry analysis of cellular automata, Phys. Lett. A, 377, 276 (2013)

Universal map for cellular automata, Phys. Lett. A, 376, 2645 (2012)

Cellular automata connections, (2017, preprint)

 

Applied Mathematics

A constructive theory of shape, Chaos Sol. Fract. 152, 111426 (2021)

On the nontrivial zeros of the Dirichlet eta function, arXiv:2007.04317 [math.GM] (2020)

A theorem on integration based on the digital expansion (with J. Cervera and J. A. Manzanares), arXiv:2003.04762 [math-ph] (2020)

Unifying vectors and matrices of different dimensions through nonlinear embeddings, J. Phys. Complex. 1, 025008 (2020)

A new approach to fuzzy sets: Application to the design of non-sinusoidal limit-cycle oscillations, Chaos Sol. Fract. 128, 191-202 (2019)

Nonlinear embeddings: Applications to analysis, fractals and polynomial root finding, Chaos Sol. Fract. 99, 312 (2017)

Digit replacement: A generic map for nonlinear dynamical systems, Chaos 26, 093109 (2016)

A new approach to fuzzy sets: Application to the design of non-sinusoidal limit-cycle oscillations, (2017, preprint)

On the characteristic function of a collection of sets, (2016, preprint)

 

Biophysics and Biomathematics

Continuum percolation theory of epimorphic regeneration, (2017, preprint)

Weakly coupled map lattice models for multicellular patterning and collective normalization of abnormal single-cell states (with J. A. Manzanares and S. Mafe), Phys. Rev. E 95, 042324 (2017)

 

Foundations of Physics

Quantum Mechanics and the Principle of Least Radix Economy, Found. Phys. 45, 295 (2015)

Thermodynamics based on the principle of least abbreviated action: Entropy production in a network of coupled oscillators (with J. Pellicer and J. A. Manzanares), Ann. Phys. (New York) 323, 1844 (2008)


Complex Ginzburg-Landau Equation with Local, Nonlocal and Global Coupling

Nonlocal complex Ginzburg-Landau equation for electrochemical systems (with K. Krischer), Phys. Rev. Lett. 100, 054101 (2008)

Irregular subharmonic cluster patterns in an autonomous photoelectrochemical oscillator (with I. Miethe and K. Krischer), Phys. Rev. Lett. 102, 194101 (2009)

Normal-form approach to spatiotemporal pattern formation in globally coupled electrochemical systems (with K. Krischer), Phys. Rev. E 78, 057201 (2008)

Coherent structures emerging from turbulence in the nonlocal complex Ginzburg-Landau equation (with R. Hölzel and K. Krischer), Phys. Rev. E 78, 026215 (2008)

Subharmonic phase clusters in the complex Ginzburg-Landau equation with nonlinear global coupling (with A. Orlov and K. Krischer), Phys. Rev. E 82, 065202(R) (2010)

The Complex Ginzburg-Landau Equation: An introduction (with K. Krischer), Contemp. Phys. 53, 79 (2012)

Turbulence and synchrony in spatially extended electrochemical oscillators (with K. Krischer), in Engineering of Chemical Complexity, A.S. Mikhailov and G. Ertl (Eds.) World Scientific Lecture Notes in Complex Systems, Singapore (2013) ISBN: 978-981-4390-45-3

Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling (with L. Schmidt, K. Schönleber and K. Krischer), Chaos 24, 013102 (2014)  

Unusual synchronization phenomena during electrodissolution of silicon: the role of nonlinear global coupling (with L. Schmidt, K. Schönleber and K. Krischer), in Engineering of Chemical Complexity II, A.S. Mikhailov and G. Ertl (Eds.) World Scientific Lecture Notes in Complex Systems, Singapore (2014) ISBN: 978-981-4616-12-6

 

Nonextensive Statistical Mechanics

Superstatistics in Nanoscale Electrochemical Systems (with K. Krischer), Proc. Natl. Acad. Sci. USA 108, 19535 (2011)

Nanothermodynamics (with J. Cervera and J. A. Manzanares), in Handbook of Nanophysics, Vol. 1, Principles and Methods, K.D. Sattler (Ed.) Taylor & Francis Books (CRC Press) (2011) ISBN: 9781420075403 

Microcanonical Foundation of Nonextensivity and Generalized Thermostatistics based on the Fractality of the Phase Space (with J. Pellicer), Physica A 361, 161 (2006)  

Correct Thermodynamic Forces in Tsallis Thermodynamics: Connection with Hill Nanothermodynamics (with J. Cervera and J. Pellicer), Phys. Lett. A 336, 82 (2005)  

Substitution Systems and Nonextensive Statistics, Physica A 440, 110 (2015)  

Coupling theory for counterion distributions based in Tsallis statistics (with J. Cervera and J. Pellicer), Physica A 339, 15 (2004)  

Calculation of the wetting parameter from a cluster model in the framework of Nanothermodynamics (with J. Cervera and J. Pellicer), Phys. Rev. E 67, 062103 (2003) 

 

Chemical Physics and Physical Chemistry

Fluctuation Enhanced Electrochemical Reaction Rates at the Nanoscale (with K. Krischer), Proc. Natl. Acad. Sci. USA 107, 4528 (2010)

Kinetic enhancement in nanoscale electrochemical systems caused by non-normal distributions of the electrode potential (with K. Krischer), J. Chem. Phys. 134, 244512 (2011)

Electrochemical Properties of Phospholipid Monolayers at Liquid-Liquid Interfaces (with H. A. Santos and C. M. Pereira), ChemPhysChem 11, 28 (2010)

Monolayer-protected metallic nanoparticles: limitations of the concentric-sphere capacitor model (with S. Mafé), J. Phys. Chem. C 111, 7242 (2007)

Pore entrance effects on the electrical potential distribution in charged porous membranes and ion channels (with J. Cervera and J. A. Manzanares), J. Electroanal. Chem. 599, 203 (2007)

Ion transport through polyelectrolyte multilayers under steady-state conditions (with T. H. Silva, C. Moura, J. A. Manzanares and F. Silva), J. Electroanal. Chem. 119, 111 (2004)

Electrochemical characterization of polyelectrolyte/gold nanoparticles multilayers self-assembled on gold electrodes (with M. Chirea, R. Gulaboski, C. M. Pereira, J. A. Manzanares and F. Silva), J. Phys. Chem. B, 109, 21808 (2005)

Electrochemical Impedance Spectroscopy of Polyelectrolyte Multilayers Modified Electrodes (with S. V. P. Barreira, C. M. Pereira, J. A. Manzanares and F. Silva), J. Phys. Chem. B, 108, 17973 (2004)

Electrochemical Impedance Spectroscopy of Polyelectrolyte Multilayer Modified Gold Electrodes: Influence of Supporting Electrolyte and Temperature (with T. H. Silva, C. Moura, J. A. Manzanares and F. Silva), Langmuir 21, 7461 (2005)

Electrochemical study of interfacial composite nanostructures: polyelectrolyte/gold nanoparticle multilayers assembled on phospholipid/dextran sulfate monolayers at a liquid-liquid interface (with H. A. Santos, M. Chirea, F. Silva, J. A. Manzanares and K. Kontturi), J. Phys. Chem. B, 109, 20105 (2005)

Interfacial Interaction between Dextran Sulfate and Lipid Monolayers: An Electrochemical Study (with H. A. Santos, R.-J. Roozeman, J. A. Manzanares and K. Kontturi), Langmuir 21, 5475 (2005)

Preparation of nanostructures composed of dextran sulfate/ruthenium nanoparticles and their interaction with phospholipid monolayers at a liquid-liquid interface (with H. A. Santos, L. Murtomäki, J. A. Manzanares and K. Kontturi), J. Electroanal. Chem. 599, 194 (2007)

Analysis of adsorption of phospholipids at the 1,2-dichloroethane/water interface by electrochemical impedance spectroscopy: A water study of the effect of the saturated alkyl chain (with M. C. Martins, C. M. Pereira, H. A. Santos, R. Dabirian, F. Silva, and J. A. Manzanares), J. Electroanal. Chem. 599, 367 (2007)

Estimation of pKa shifts in weak polyacids using a simple molecular model: effects of strong polybases, hydrogen bonding and divalent counterion binding (with S. Mafe and P. Ramirez), Chem. Phys. 296, 29-35 (2004)

Ion Size Effects on the Electrokinetic Flow in Nanoporous Membranes Caused by Concentration Gradients (with J. Cervera and J. Pellicer), J. Phys. Chem. B 107, 8300 (2003)

On the experimental values of the water surface tension used in some textbooks (with J. Pellicer, L. Guanter, M. J. Hernandez and M. Dolz), Am. J. Phys. 70, 705 (2002)

On the demonstration of the Young-Laplace equation in introductory physics courses (with J. Pellicer and M. J. Hernandez), Phys. Educ. 35, 126 (2000)

 

Applied Physics

Hybrid Circuits with Nanofluidic Diodes and Load Capacitors (with P. Ramirez, V. Gomez, M. Ali, S. Nasir, W. Ensinger, and S. Mafe), Phys. Rev. Applied 7, 064035 (2017)

 

Mathematical Reviews

Besides acting as referee for the American Physical Society (APS), the American Chemical Society (ACS), the Institute of Physics Publishing (IOP) and Springer, beginning on May 2016 I am also regular reviewer for Mathematical Reviews (MathSciNet) of the American Mathematical Society (AMS).

Here you can read mathematical reviews written by me that have already been published on MathSciNet.

 

Other works

Poetry

You can read here a selection of my poems (in Spanish), illustrated by Anxo Pastor

Here you can read a sonnet written by myself (in Spanish) using only “o” and here another one using only “i” as vowels


Theater

Como lentas aves (in Spanish) Hiru (Skene), Hondarribia (2004), ISBN: 84-95786-49-4

La superconductividad en el cristal de pentaceno (in Spanish) Hiru (Skene), Hondarribia (2005), ISBN: 84-95786-95-8

El silencio de Anton Webern (in Spanish) Hiru (Skene), Hondarribia (2005), illustrated by Aurèlia Pessarrodona , ISBN: 84-95786-95-8

En la luz dentro de tus ojos (in Spanish) Caos Editorial, Madrid (2010), ISBN: 978-84-95683-61-8 . Translated into Dutch by Stefan Beyst.

Translation

La luna el sol der Mond die Sonne, the blog of my translations into Spanish of selected texts in German 

Uljana Wolf, Fronteras del lenguaje, Antología (2005-2011) (German-Spanish edition) La Bella Varsovia, Córdoba (2011), ISBN: 978-84-93932-92-3

Poems by Steffen Popp and Ulrike Almut Sandig (German-Spanish) Galerna IX (2010), Revista Internacional de Literatura (Montclair NJ, USA), ISSN: 1541-4752

Von den Flughäfen / De los aeropuertos, by Durs Grünbein (German-Spanish) Catálogos de Valverde 32, Serie Cartoemas 3 (2010), ISSN: 1888-6205

Dieter Leisegang (1942-1973), Últimas palabras puramente (German-Spanish, illustrated by Marie-Claire Nun) La Nube Habitada (FronteraD, revista digital), ISSN: 2173-4186

Niebla conmocionada. Antología de poesía en lengua alemana (de la segunda mitad del siglo XX hasta nuestros días) (German-Spanish edition), unpublished

 

Links

The Fractals and the Stanzas

Thus saith the Lord