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The soliton concept and its inter-, trans- and pluri-disciplinary ubiquity. Truth and consequences. From the macro- to the nano-world

Life and Matter Sciences International Symposium November 7-8, 2016 Madrid

General information

Venue: Fundación Ramón Areces, Vitruvio, 5. 28006. Madrid
Limited capacity

  • Free registration

Organized by:

Fundación Ramón Areces


Manuel G. VelardeInstituto Pluridisciplinar. Universidad Complutense. Madrid. Spain

  • Description
  • Programme

Soliton-assisted transport (with commercial purposes) was (re)invented in modern times by the ship-building architect and engineer J. S. Russell who in mid-XIXth Century made the discovery of the solitary wave at Union Canal near Edinburgh. Indeed, solitary waves, e.g., at the sea shore, and bores in rivers, permit matter transport and surfing. Bores had been observed and used by peasants in China several centuries ago. They used them to transport goods surfing upstream, with small boats, and getting back to origin with the downstream river flow. In the last quarter of the XIXth century, such waves received a good theoretical explanation by Boussinesq (B) and Lord Rayleigh. Later on came Korteweg and de Vries (KdV) who rediscovered the solitary wave evolution equation (fifteen years after Boussinesq). It was not until mid-XXth Century that the curiosity of the solitary wave attracted the interest of N. J. Zabusky and M. D. Kruskal who numerically explored the solutions of the BKdV theory, and their (overtaking) collisions, and coined the soliton word and concept. Their research was motivated by earlier work done by Fermi, Pasta and Ulam (FPU) on heat transfer and equipartition in (anharmonic) lattices at Los Alamos National Lab using the MANIAC computer. Eventually, subsequent mathematical work about BKdV theory and other soliton-bearing dynamics led to a new area in Applied Mathematics and General Physics (in particular, by using computers to gain insight and not just numerical results).

In the last fifteen years, the soliton concept has been applied to such complex phenomena as the coupled motion of nuclei and electrons in crystalline solids (insulators and semiconductors, in particular). This constitutes an interesting problem because while the heavy "particles" are treated classically, the lighter ones (electrons or positive holes) must be treated quantum mechanically. Theory has shown the possibility of transferring the soliton-like motion to the charges which could "surf" on the soliton wave. This opens the path to practical application in nano-electronics through the design of novel, ultrafast transistors with extremely low heat dissipation.

At present, the soliton concept and other related concepts like discrete breathers (a.k.a. intrinsic localized modes genuine of perfect crystal lattices) underlie a powerful paradigm providing a unifying understanding of a disparate collection of phenomena found in several branches of Science and not just Physics (Fluid Physics, Hydraulics, Oceanography, Nonlinear Optics and Lasers, Optical Fiber transmission, Acoustics, Plasmas, Science and Engineering of advanced materials, Nano-electronics, Cosmological relativity, Neuro-dynamics, Robotics, etc.).

Monday, 7


Welcoming Remarks and Introductions

Federico Mayor Zaragoza
Chairman of the Scientific Council. Fundación Ramón Areces. Spain.  

José María Medina
Deputy Chairman, Scientific Council. Fundación Ramón Areces. Spain. 

Manuel G. Velarde
Coordinator of the Symposium. 


Introduction: The soliton concept and the new world of computational/experimental nonlinear science and beyond

Manuel G. Velarde 
Instituto Pluridisciplinar. Universidad Complutense. Madrid.  Spain


Solitons and solectrons and the mechanical control of electrons (electron surfing)

Werner Ebeling
Humboldt-Universität zu Berlin. Germany. 


Electrons in Molecules: Solitons and polarons in dopable conducting polymers

Jean-Pierre Launay
CNRS. Toulouse. Francia.  




Solitons and solectrons: Computer simulations I

Alexander P. Chetverikov 
Saratov State University. Russia. 


Bisolitons and bisolectrons

Larissa Brizhik
Bogolyubov Institute for Theoretical Physics. National Academy of Sciences of Ukraine. Kiev. Ukraine. 




Solitons and "discrete breathers" (intrinsic localized modes in crystals)

Sergey V. Dmitriev
Institute for Metals Superplasticity. RAS.  Ufa. Russian Federation. 


Solitons, discrete breathers and kinks in ionic crystals

Juan F. R. Archilla
Universidad de Sevilla. 


Solitons and solectrons: Computer simulations II

Alexander P. Chetverikov
Saratov State University. Russia. 

Tuesday, 8


Experiments with solitons and intrinsic localized modes

Víctor Sánchez-Morcillo
Universidad Politécnica de Valencia. Spain


Soliton-like motions in biomolecular wires such as DNA and the like

Victor D. Lakhno
Institute of Mathematical Problems of Biology. RAS. Pushchino. Rusia.


Nano-soliton-assisted electron transport (electron surfing) and a novel ballistic-like field effect transistor (SFET) with extremely low heat dissipation

E. Guy Wilson
Queen Mary University of London. United Kingdom. 




Action potentials as solitons in neuro-dynamics

Alberto Ferrús
Instituto Cajal. CSIC. Madrid.  Spain. 




Solitonic gaits in insects (hexapods)

Ezequiel del Río
Universidad Politécnica de Madrid. Spain


Gravitational waves and solitons: Predictions

Enric Verdaguer
Universidad de Barcelona. Spain.   


Gravitational waves and solitons: Detection

Francisco R. Villatoro
Universidad de Málaga. Spain.


Open forum: Conclusions and outlook

Manuel G. Velarde
Instituto Pluridisciplinar. Universidad Complutense. Madrid. Spain.

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