NameArchilla, Juan F. R.
DepartmentFísica Aplicada I
Knowledge areaFísica Aplicada
Professional categoryCatedrático de Universidad
E-mailRequest
           
  • No. publications

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Quodon Current in Tungsten and Consequences for Tokamak Fusion Reactors

Russell, Francis Michael; Archilla, Juan F. R.; Más Balbuena, José Luis (WILEY-V C H VERLAG GMBH, 2024)
Tokamak fusion reactors produce energetic He ions that penetrate surfaces less than 20 μm and neutrons that spread throughout ...
Article
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Intrinsic localized modes in polymers and hyperconductors

Russell, F. Michael; Archilla, Juan F. R. (American Institute of Physics, 2022)
The history of the experimental study of nonlinear lattice excitations in layered silicate materials, when exposed to swift ...
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Frequency–momentum representation of moving breathers in a two dimensional hexagonal lattice

Bajārs, Jānis; Archilla, Juan F. R. (ScienceDirect, 2022)
We study nonlinear excitations propagating in a hexagonal layer which is a model for the cation layer of silicates. We ...
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Splitting Methods for Semi-Classical Hamiltonian Dynamics of Charge Transfer in Nonlinear Lattices

Bajārs, Jānis; Archilla, Juan F. R. (MDPI, 2022)
We propose two classes of symplecticity-preserving symmetric splitting methods for semi-classical Hamiltonian dynamics of ...
Chapter of Book
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Localized waves in silicates. What do we know from experiments?

Russell, F. Michael; Archilla, Juan F. R.; Medina Carrasco, Santiago; Skiadas, Christos H.; Dimotikalis, Yannis (Springer International Publishing, 2021)
Since the latest review about solitary localized waves in muscovite, called quodons, (F.M. Russell in Quodons in Mica. ...
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Ballistic charge transport by mobile nonlinear excitations

Russell, F. Michael; Archilla, Juan F. R. (Wiley, 2021)
The developments in hyperconductivity, the loss-free transmission of electric charge at room temperature and above, due ...
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Pterobreathers in a model for a layered crystal with realistic potentials: Exact moving breathers in a moving frame

Archilla, Juan F. R.; Doi, Yusuke; Kimura, Masayuki (American Physical Society, 2019)
In this article we perform a thorough analysis of breathers in a one-dimensional model for a layered silicate for which ...
Article
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Hyperconductivity in fluorphlogopite at 300 K and 1.1 T

Russell, F. Michael; Russell, Mark W.; Archilla, Juan F. R. (European Physical Society, 2019)
We report on studies of hyperconductivity in which electric charge moves in a solid in the absence of an applied electric ...
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Nonlinear waves in a model for silicate layers

Archilla, Juan F. R.; Zolotaryuk, Yaroslav; Kosevich, Yuriy A.; Doi, Yusuke (American Institute of Physics, 2018)
Some layered silicates are composed of positive ions, surrounded by layers of ions with opposite sign. Mica muscovite is ...
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Nonlinear waves in a chain of magnetically coupled pendula

García Raffi, Luis M.; Salmerón-Contreras, Luis J.; Jiménez, Noé; Ahmed, Mehem; Sánchez-Morcillo, Víctor J.; Picó, Rubén; Archilla, Juan F. R. (Acoustical Society of America, 2018)
A motivation for the study of reduced models like one-dimensional systems in Solid State Physics is the complexity of the ...
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Infinite charge mobility in muscovite at 300K

Russell, F. Michael; Archilla, Juan F. R.; Frutos Rayego, Fabián; Medina Carrasco, Santiago (IOP, 2017)
Evidence is presented for infinite charge mobility in natural crystals of muscovite mica at room temperature. Muscovite ...
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Quantum dynamics of wave packets in a non-stationary parabolic potential and the Kramers escape rate theory

Dubinko, Vladimir; Alexander S., Mazmanishvili; Laptev, Denis V.; Archilla, Juan F. R. (World Scientific Publishing, 2016)
At sufficiently low temperatures, the reaction rates in solids are controlled by quantum rather than by thermal fluctuations. ...
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Energy localization and shape transformations in semiflexible polymer rings

Yu B. Gaididei; Archilla, Juan F. R.; Sánchez-Morcillo, Víctor J.; Carlos Gorria (American Physical Society, 2016)
Shape transformations in driven and damped molecular chains are considered. Closed chains of weakly coupled molecular ...
Book
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Book of abstracts: NoLineal 2016, International Conference on Nonlinear Mathematics and Physics

Palmero Acebedo, Faustino; Carmona Centeno, Victoriano; Casado Pascual, Jesús; Cuevas-Maraver, Jesús; Fernández Sánchez, Fernando; García Medina, Elisabeth; Lemos, M. Carmen; Quintero, Niurka R.; Sánchez-Rey, Bernardo; Archilla, Juan F. R. (NoLineal 2016Juan F.R. Archilla, 2016)
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On the charge of quodons

Archilla, Juan F. R.; Russell, F. Michael (Institute for Metals Superplasticity Problems of Russian Academy of Sciences, 2016)
Muscovite mica is a mineral in which the tracks of charged swift particles, from radioactivity or cosmic rays, can be ...
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Long range annealing of defects in germanium by low energy plasma ions

Archilla, Juan F. R.; Coelho, Sergio M.M.; Auret, F.D.; Dubinko, Vladimir; Hizhnyakov, Vladimir (Elsevier, 2015)
Ions arriving at a semiconductor surface with very low energy (2 - 8 eV) are interacting with defects deep inside the ...
Chapter of Book
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A Supersonic Crowdion in Mica Ultradiscrete Kinks with Energy between 40K Recoil and Transmission Sputtering

Archilla, Juan F. R.; Kosevich, Yuriy A.; Jiménez, Noé; Sánchez Morcillo, Víctor J.; García Raffi, Luis M. (Springer, 2015)
In this work we analyze in detail the behaviour and properties of the kinks found in an one dimensional model for the close ...
Chapter of Book
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Rate Theory of Acceleration of Defect Annealing Driven by Discrete Breathers

Dubinko, Vladimir; Archilla, Juan F. R.; Dmitriev, S.V.; Hizhnyakov, Vladimir; Archilla, Juan F. R.; Jiménez, Noé; Sánchez-Morcillo, Víctor J.; García Raffi, Luis M. (Springer International Publishing, 2015)
Novel mechanisms of defect annealing in solids are discussed, which are based on the large amplitude anharmonic lattice ...
Chapter of Book
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The origin of defects induced in ultra-pure germanium by Electron Beam Deposition

Coelho, Sergio M.M.; Archilla, Juan F. R.; Danie Auret, F.; Nel, Jackie M. (Springer, 2015)
The creation of point defects in the crystal lattices of various semiconductors by subthreshold events has been reported ...
Chapter of Book
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Experimental observation of moving intrinsic localized modes in germanium

Archilla, Juan F. R.; Coelho, Sergio M.M.; Danie Auret, F.; Nyamhere, Cloud; Dubinko, Vladimir; Hizhnyakov, Vladimir (Springer, 2015)
Deep level transient spectroscopy shows that defects created by alpha irradiation of germanium are annealed by low energy ...
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Ultra-discrete kinks with supersonic speed in a layered crystal with realistic potentials

Archilla, Juan F. R.; Kosevich, Yuriy A.; Jiménez, Noé; Sánchez-Morcillo, Víctor J.; García Raffi, Luis M. (American Physical Society, 2015)
In this paper we develop a dynamical model of the propagating nonlinear localized excitations, supersonic kinks, in the ...
Chapter of Book
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Supersonic Kinks in Coulomb lattices

Archilla, Juan F. R.; Kosevich, Yuriy A.; Jiménez, Noé; Sánchez-Morcillo, Víctor J.; García Raffi, Luis M.; Carretero-González, Ricardo; Cuevas-Maraver, Jesús; Frantzeskakis, Dimitri J.; Karachalios, Nikolaos I.; Kevrekidis, Panayotis G.; Palmero Acebedo, Faustino (Springer International Publishing, 2014)
There exist in nature examples of lattices of elements for which the interaction is repulsive, the elements are kept in ...
Book
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Book of abstracts: Quodons in Mica 2013 - Nonlinear Localized Travelling Excitations in Crystals

Archilla, Juan F. R.; Sánchez Morcillo, Víctor J.; García Raffi, Luis M.; Jiménez, Noé (CC-BY-ND 4.0 by Quodons in Mica, 2013)
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Kinks supersónicos en redes repulsivas

Jiménez, Noé; Sánchez Morcillo, Víctor J.; García Raffi, Luis M.; Archilla, Juan F. R. (Real Sociedad Española de Física, 2013)
We have founds supersonics kinks in a model for the cation layer of mica muscovite. They are proposed as a posible explanation for the dark tracks in the mineral
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Moving Excitations in Cation Lattices

Archilla, Juan F. R.; Kosevich, Yuriy A.; Jiménez, Noé; Sánchez-Morcillo, Víctor J.; García Raffi, Luis M. (National Academy of Sciences of Ukrain, 2013)
We consider a model made out of identical particles that repel each other with the Coulomb interaction. We study numerically ...
Presentation
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Kinks in Coulomb’s chains

Archilla, Juan F. R.; Kosevich, Yuriy A.; Russell, Mike (Universidad de Sevilla, 2012)
Chains of identical ions, for which the dominant interaction is the electrostatic repulsion, appear in layered silicates. ...
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Nonsymmetric moving breather collisions in the Peyrard-Bishop DNA model

Álvarez Chillida, María Azucena; Romero Romero, Francisco; Romero, José M.; Archilla, Juan F. R. (American Institute of Mathematical Sciences (AIMS), 2011)
We study nonsymmetric collisions of moving breathers (MBs) in the Peyrard-Bishop DNA model. In this paper we have considered ...
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Stability of non-time-reversible phonobreathers

Cuevas-Maraver, Jesús; Archilla, Juan F. R.; Romero Romero, Francisco (2011)
Non-time reversible phonobreathers are non-linear waves that can transport energy in coupled oscillator chains by means ...
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Multibreather and vortex breather stability in Klein–Gordon lattices: equivalence between two different approaches

Cuevas-Maraver, Jesús; Koukouloyannis, Vassilis; Kevrekidis, Panayotis G.; Archilla, Juan F. R. (2011)
In this work, we revisit the question of stability of multibreather configurations, i.e. discrete breathers with multiple ...
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Reaction-rate theory with account of the crystal anharmonicity

Dubinko, Vladimir; Selyshchev, P.A.; Archilla, Juan F. R. (American Physical Society, 2011)
Reaction rate theory in solids is modified taking into account intrinsic localized modes or discrete breathers (DBs) that ...
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New classes of stable exact solutions for a nonlinear rotational DNA model

Ramirez, J.; Romero, J.L.; Romero Romero, Francisco; Álvarez Chillida, María Azucena; Archilla, Juan F. R. (Jagellonian University, 2010)
We consider a system of two coupled nonlinear partial differential equations for describing the rotational motions of bases ...
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Moving breather collisions in Klein-Gordon chains of oscillators

Álvarez Chillida, María Azucena; Romero Romero, Francisco; Cuevas-Maraver, Jesús; Archilla, Juan F. R. (2009)
We investigate the collisions of moving breathers, with the same frequency, in three different Klein-Gordon chains of ...
Chapter of Book
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Moving breather collisions in the Peyrard-Bishop DNA model

Álvarez Chillida, María Azucena; Romero Romero, Francisco; Cuevas-Maraver, Jesús; Archilla, Juan F. R.; Zhou, Jie (Springer, 2009)
We consider collisions of moving breathers (MBs) in the Peyrard-Bishop DNA model. Two identical stationary breathers, ...
Presentation
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Effect of breather existence on reconstructive transformations in mica muscovite

Archilla, Juan F. R.; Cuevas-Maraver, Jesús; Romero Romero, Francisco (2008)
Reconstructive transformations of layered silicates as mica muscovite take place at much lower temperatures than expected. ...
Presentation
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Discrete breathers collisions in nonlinear Schrödinger and Klein-Gordon lattices

Cuevas-Maraver, Jesús; Álvarez Chillida, María Azucena; Romero Romero, Francisco; Archilla, Juan F. R. (2008)
Collisions between moving localized modes (moving breathers) in non- integrable lattices present a rich outcome. In this ...
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Discrete moving breather collisions in a Klein-Gordon chain of oscillators

Álvarez Chillida, María Azucena; Romero Romero, Francisco; Cuevas-Maraver, Jesús; Archilla, Juan F. R. (2008)
We study the collisions of moving breathers with the same frequency, traveling with opposite directions within a Klein–Gordon ...
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A neutron scattering study of strong-symmetric hydrogen bonds in potassium and cesium hydrogen bistrifluoroacetates: Determination of the crystal structures and of the single-well potentials for protons

Fillaux, François; Cousson, Alain; Archilla, Juan F. R.; Tomkinson, John (AIP Publishing, 2008)
The crystal structures of potassium and cesium bistrifluoroacetates, KH CF3COO2 and CsH CF3COO2, respectively, were ...
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Breather trapping and breather transmission in a DNA model with an interface

Álvarez Chillida, María Azucena; Romero Romero, Francisco; Archilla, Juan F. R.; Cuevas-Maraver, Jesús; Larsen, Peter V. (2006)
We study the dynamics of moving discrete breathers in an interfaced piecewise DNA molecule. This is a chain in which all ...
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Discrete breathers for understanding reconstructive mineral processes at low temperatures

Archilla, Juan F. R.; Cuevas-Maraver, Jesús; Alba, María D.; Naranjo Muñoz, Moisés; Trillo de Leyva, José María (American Chemical Society, 2006)
Reconstructive transformations in layered silicates need a high temperature in order to be observed. However, very recently, ...
Chapter of Book
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Polaronic charge transport mechanism in DNA

Hennig, Dirk; Archilla, Juan F. R.; Starikov, Evgeni B.; Lewis, James; Tanaka, Shigenori (Elsevier, 2006)
For the detailed understanding of the conduction mechanism in DNA we use models based on the concept of polaron and breather ...
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Interaction of moving discrete breathers with vacancies

Cuevas-Maraver, Jesús; Archilla, Juan F. R.; Sánchez-Rey, Bernardo; Romero Romero, Francisco (2006)
In this paper a Frenkel–Kontorova model with a nonlinear int eraction potential is used to describe a vacancy defect in a ...
Chapter of Book
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Classical and quantum nonlinear localized excitations in discrete systems

Romero Romero, Francisco; Archilla, Juan F. R.; Palmero Acebedo, Faustino; Sánchez-Rey, Bernardo; Álvarez Chillida, María Azucena; Cuevas-Maraver, Jesús; Romero Romero, José María (Transworld Research Network, 2005)
Discrete breathers, or intrinsic localized modes, are spatially localized, time–periodic, nonlinear excitations that can ...
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Effect of the introduction of Impurities on the stability properties of multibreathers at low coupling

Cuevas-Maraver, Jesús; Archilla, Juan F. R.; Romero Romero, Francisco (2005)
Using a theorem dubbed the multibreather stability theorem (Archilla J F R et al 2003 Physica D 180 235) we have obtained ...
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Modeling the thermal evolution of enzyme-created bubbles in DNA

Hennig, Dirk; Archilla, Juan F. R.; Romero, J.M. (Royal Society, 2005)
The formation of bubbles in nucleic acids (NAs) is fundamental in many biological processes such as DNA replication, ...
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Localization Properties of Electronic States in Polaron Model of poly(dG)-poly(dC) and poly(dA)-poly(dT) DNA polymers

Yamada, Hiroaki; Starikov, Eugen B.; Hennig, Dirk; Archilla, Juan F. R. (Societá Italiana di Fisica, 2005)
We numerically investigate localization properties of electronic states in a static model of poly(dG)-poly(dC) and ...
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Moving breathers in bent DNA with realistic parameters

Cuevas-Maraver, Jesús; Starikov, Evgeni B.; Archilla, Juan F. R.; Hennig, Dirk (2004)
Recent papers have considered moving breathers (MBs) in DNA models including long range interaction due to the dipole ...
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Energy funneling in a bent chain of Morse oscillators with long-range coupling

Larsen, Peter V.; Christiansen, P.L.; Bang, O.; Archilla, Juan F. R.; Gaididei, Yu B. (American Physical Society, 2004)
A bent chain of coupled Morse oscillators with long-range dispersive interaction is considered. Moving localized excitations ...
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Stretching and relaxation dynamics in double stranded DNA

Hennig, Dirk; Archilla, Juan F. R. (Elsevier, 2004)
We study numerically the mechanical stability and elasticity properties of duplex DNA molecules within the frame of a ...
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Bright and dark breathers in Fermi-Pasta-Ulam lattices

Sánchez-Rey, Bernardo; James, Guillaume; Cuevas-Maraver, Jesús; Archilla, Juan F. R. (2004)
In this paper we study the existence and linear stability of bright and dark breathers in one-dimensional FPU lattices. ...
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Effect of base-pair inhomogeneities on charge transport along the DNA molecule, mediated by twist and radial polarons

Palmero Acebedo, Faustino; Hennig, Dirk; Romero Romero, Francisco; Archilla, Juan F. R. (2004)
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Bubble generation in a twisted and bent DNA-like model

Larsen, Peter V.; Christiansen, P.L.; Bang, O.; Archilla, Juan F. R.; Gaididei, Yu B. (American Physical Society, 2004)
The DNA molecule is modeled by a parabola embedded chain with long-range interactions between twisted base pair dipoles. ...
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Multi-site H-bridge breathers in a DNA–shaped double strand

Hennig, Dirk; Archilla, Juan F. R. (IOP Publishing, 2004)
We investigate the formation process of nonlinear vibrational modes representing broad H-bridge multi–site breathers in a ...
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Interaction of Moving Localized Oscillations with a Local Inhomogeneity in Nonlinear Hamiltonian Klein-Gordon Lattices

Cuevas Maraver, Jesús; Palmero Acebedo, Faustino; Archilla, Juan F. R.; Romero, F. R. (Springer, 2003)
We study the interaction of moving localized oscillations with a local inhomogeneity in a discrete nonlinear Hamiltonian ...
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Influence of moving breathers on vacancies migration

Cuevas-Maraver, Jesús; Katerji, C.; Archilla, Juan F. R.; Eilbeck, J. Chris; Russell, F. Michael (Elsevier, 2003)
A vacancy defect is described by a Frenkel-Kontorova model with a discommensuration. This vacancy can migrate when interacts ...
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Charge transport in poly(dG)-poly(dC) and poly(dA)-poly(dT) DNA polymers

Hennig, Dirk; Starikov, Eugen B.; Archilla, Juan F. R.; Palmero Acebedo, Faustino (Springer, 2003)
We investigate the charge transport in synthetic DNA polymers built up from single types of base pairs. In the context of ...
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Demonstration of the stability or instability of multibreathers at low coupling

Archilla, Juan F. R.; Cuevas-Maraver, Jesús; Sánchez-Rey, Bernardo; Romero Romero, Francisco (2003)
Whereas there exists a mathematical proof for one-site breathers stability, and an unpublished one for two-site breathers, ...
Presentation
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Interaction of moving breathers with an impurity

Cuevas-Maraver, Jesús; Palmero Acebedo, Faustino; Archilla, Juan F. R.; Romero Romero, Francisco (World Scientific, 2003)
We analyze the influence of an impurity in the evolution of moving discrete breathers in a Klein–Gordon chain with non-weak ...
Presentation
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Charge transport in a nonlinear, three-dimensional DNA model with disorder

Archilla, Juan F. R.; Hennig, Dirk; Agarwal, J. (WorldScientific, 2003)
We study the transport of charge due to polarons in a model of DNA which takes in account its 3D structure and the coupling ...
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Nonlinear charge transport mechanism in periodic and disordered DNA

Hennig, Dirk; Archilla, Juan F. R.; Agarwal, J. (Elsevier, 2003)
We study a model for polaron-like charge transportmechanism along DNA molecules with emphasis on the impact of parametrical ...
Presentation
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Breathers in FPU systems, near and far from the phonon band

Sánchez-Rey, Bernardo; Archilla, Juan F. R.; James, Guillaume; Cuevas-Maraver, Jesús (World Scientific, 2003)
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Moving breathers in a bent DNA model

Cuevas-Maraver, Jesús; Palmero Acebedo, Faustino; Archilla, Juan F. R.; Romero Romero, Francisco (2002)
We study the properties of moving breathers in a bent DNA model with short range interaction, due to the stacking of ...
PhD Thesis
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Localización y transferencia de energía en redes anarmónica no homogéneas

Cuevas-Maraver, Jesús; Archilla, Juan F. R.; Romero Romero, Francisco (2002)
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Dark breathers in Klein-Gordon lattices. Band analysis of their stability properties

Álvarez Chillida, María Azucena; Archilla, Juan F. R.; Cuevas-Maraver, Jesús; Romero Romero, Francisco (2002)
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Stationary and moving breathers in a simplified model of curved alpha--helix proteins

Archilla, Juan F. R.; Gaididei, Yu B.; Christiansen, P.L.; Cuevas-Maraver, Jesús (2002)
The existence, stability and movability of breathers in a model for alpha-helix proteins is studied. This model basically ...
Presentation
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Localized oscillations in nonlinear hamiltonian Klein-Gordon lattices. Breathers and Anderson modes

Cuevas-Maraver, Jesús; Palmero Acebedo, Faustino; Archilla, Juan F. R.; Romero Romero, Francisco; Muriel, M.C. (2002)
There are two different sources of localization in discrete lattices: • Anderson modes in disordered harmonic lattices [1] • Discrete breathers in homogeneous nonlinear lattices [2]
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Moving discrete breathers in a Klein–Gordon chain with an impurity

Cuevas-Maraver, Jesús; Palmero Acebedo, Faustino; Archilla, Juan F. R.; Romero Romero, Francisco (2002)
We analyse the influence of an impurity in the evolution of moving discrete breathers in a Klein–Gordon chain with non-weak ...
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Breathers in a system with helicity and dipole interaction

Sánchez-Rey, Bernardo; Archilla, Juan F. R.; Palmero Acebedo, Faustino; Romero Romero, Francisco (American Physical Society, 2002)
Recent papers that have studied variants of the Peyrard-Bishop model for DNA, have taken into account the long range ...
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Moving breathers in a DNA model with competing short and long range dispersive interactions

Cuevas-Maraver, Jesús; Archilla, Juan F. R.; Gaididei, Yu B.; Romero Romero, Francisco (2002)
Moving breathers is a means of transmitting information in DNA. We study the existence and properties of moving breathers ...
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Static and moving breathers in a DNA model with competing short–range and long–range dispersive interactions

Cuevas-Maraver, Jesús; Palmero Acebedo, Faustino; Sánchez-Rey, Bernardo; Archilla, Juan F. R. (2001)
So far, all the studies on breathers on DNA have considered models with either short–range or long-range interaction. ...
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Numerical study of breathers in a bent chain of oscillators with long-range interaction

Archilla, Juan F. R.; Christiansen, P.L.; Mingaleev, S.F.; Gaididei, Yu B. (IOP Science, 2001)
Most of the studies of breathers in networks of oscillators are limited to nextneighbour interaction. However, long-range ...
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Interplay of nonlinearity and geometry in a DNA-related, Klein-Gordon model with long-range dipole-dipole interaction

Archilla, Juan F. R.; Christiansen, P.L.; Gaididei, Yu B. (American Physical Society, 2001)
Most of the studies on mathematical models of DNA are limited to next neighbor interaction. However, the coupling between ...
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Numerical study of two-dimensional disordered Klein-Gordon lattices with cubic soft anharmonicity

Cuevas-Maraver, Jesús; Archilla, Juan F. R.; Palmero Acebedo, Faustino; Romero Romero, Francisco (2001)
Localized oscillations appear both in ordered nonlinear lattices (breathers) and in disordered linear lattices (Anderson ...
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Discrete breathers and Anderson modes: two faces of the same phenomenon?

Archilla, Juan F. R.; MacKay, R. S.; Marín, J.L. (Elsevier, 1999)
Time-periodic localized oscillations occur in a variety of contexts, in particular in weakly coupled anharmonic lattices ...
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Lie symmetries and multiple solutions in lambda-omega reaction-diffusion systems

Archilla, Juan F. R.; Romero, Juan L.; Romero Romero, Francisco; Palmero Acebedo, Faustino (IOP, 1997)
Lie theory of transformation groups is applied to the study of lambda-omega reaction-diffusion systems in two-dimensional ...
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Spiral waves solutions in reaction-diffusion equations with symmetries. Analysis through specific models

Archilla, Juan F. R.; Romero Romero, Juan Luis; Romero Romero, Francisco; Palmero Acebedo, Faustino (IOP Science, 1997)
Symmetries of nonlinear reaction-diffusion equations determine the existence of regular rotating spiral waves. They are ...
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Intersection of crisis loci in a driven nonlinearly damped oscillator

Palmero Acebedo, Faustino; Romero Romero, Francisco; Romero Romero, Juan Luis; Archilla, Juan F. R. (Elsevier, 1995)
We report on a phenomenon observed in a driven nonlinearly damped oscillator when two control parameters, the frequency ...
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Diffusion in a class of exactly solvable non-harmonic potentials. Intrinsic effects induced by non-linearities

Romero Romero, Juan Luis; Ramírez, J.; Romero Romero, Francisco; Archilla, Juan F. R. (Elsevier, 1990)
This paper deals with the problem of a particle that diffuses in a potential with a reflecting barrier and has a point of ...
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Diffusion equations for nonhomogeneous media. Existence of similarity solutions

Romero Romero, Francisco; Romero Romero, J.L.; Archilla, Juan F. R. (Elsevier, 1985)
We study the invariance of the diffusion equation δP(x,t)/δt = (δ/δx)[D(x)δP(x,t)/δx] under continuous groups of transformations. We show the conditions which D(x) must satisfy for the existence of similarity solutions.