D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Engineering and Technology D-index 40 Citations 8,820 106 World Ranking 3529 National Ranking 72

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Electron
  • Mathematical analysis

The scientist’s investigation covers issues in Quantum mechanics, Breather, Nonlinear system, Mathematical analysis and Standard map. His work deals with themes such as Quasiperiodic function, Condensed matter physics and Mathematical physics, which intersect with Quantum mechanics. His Breather research includes elements of Phonon, Acceptor, Wave function and Instability.

As part of his studies on Nonlinear system, Serge Aubry frequently links adjacent subjects like Classical mechanics. His work on Class, Bounded function and Boundary value problem as part of general Mathematical analysis study is frequently linked to Bernoulli scheme, bridging the gap between disciplines. The study incorporates disciplines such as Lyapunov function and Golden ratio in addition to Standard map.

His most cited work include:

  • Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators (727 citations)
  • Breathers in nonlinear lattices: existence, linear stability and quantization (555 citations)
  • The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states (529 citations)

What are the main themes of his work throughout his whole career to date?

His main research concerns Quantum mechanics, Breather, Condensed matter physics, Nonlinear system and Phonon. His Breather study incorporates themes from Linear stability, Classical mechanics, Hamiltonian, Anharmonicity and Coupling. Serge Aubry has included themes like Hamiltonian system and Mathematical physics in his Hamiltonian study.

His research investigates the connection between Condensed matter physics and topics such as Adiabatic process that intersect with issues in Charge density wave. His Nonlinear system research includes themes of Quasiperiodic function, Mathematical analysis, Amplitude, Energy and Statistical physics. His work in the fields of Phonon, such as Phonon scattering, overlaps with other areas such as Coupling.

He most often published in these fields:

  • Quantum mechanics (40.00%)
  • Breather (38.00%)
  • Condensed matter physics (37.00%)

What were the highlights of his more recent work (between 2003-2014)?

  • Quantum mechanics (40.00%)
  • Nonlinear system (30.00%)
  • Electron transfer (9.00%)

In recent papers he was focusing on the following fields of study:

Quantum mechanics, Nonlinear system, Electron transfer, Breather and Cantor set are his primary areas of study. His Quantum mechanics research focuses on Quantum, Wave packet, Anharmonicity, Phonon and Ionic bonding. His studies in Nonlinear system integrate themes in fields like Amplitude, Statistical physics and Torus.

His study in Amplitude is interdisciplinary in nature, drawing from both Manifold and Energy. Serge Aubry combines subjects such as Hamiltonian and Quasiperiodic function with his study of Statistical physics. Serge Aubry performs integrative Breather and Transient research in his work.

Between 2003 and 2014, his most popular works were:

  • Absence of wave packet diffusion in disordered nonlinear systems. (159 citations)
  • Discrete Breathers: Localization and transfer of energy in discrete Hamiltonian nonlinear systems (115 citations)
  • KAM tori in 1D random discrete nonlinear Schrodinger model (61 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Electron
  • Mathematical analysis

His scientific interests lie mostly in Nonlinear system, Torus, Statistical physics, Cantor set and Kolmogorov–Arnold–Moser theorem. Serge Aubry studies Nonlinear system, namely Breather. His Torus research integrates issues from Second moment of area and Quantum mechanics.

His research in Statistical physics intersects with topics in Mathematical proof, Quasiperiodic function and Linear stability. His work deals with themes such as Amplitude, Manifold and Energy, which intersect with Quasiperiodic function. Among his Cantor set studies, there is a synthesis of other scientific areas such as Lyapunov exponent, Mathematical analysis, Initial value problem, Schrödinger equation and Nonlinear Schrödinger equation.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators

R S MacKay;S Aubry.
Nonlinearity (1994)

1172 Citations

Breathers in nonlinear lattices: existence, linear stability and quantization

Serge Aubry.
Physica D: Nonlinear Phenomena (1997)

1002 Citations

The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states

S. Aubry;P.Y. Le Daeron.
Physica D: Nonlinear Phenomena (1983)

860 Citations

The twist map, the extended Frenkel-Kontorova model and the devil's staircase

Serge Aubry.
Physica D: Nonlinear Phenomena (1983)

581 Citations

Breathers in nonlinear lattices: numerical calculation from the anticontinuous limit

J L Marín;S Aubry.
Nonlinearity (1996)

395 Citations

Critical behaviour at the transition by breaking of analyticity in the discrete Frenkel-Kontorova model

M Peyrard;S Aubry.
Journal of Physics C: Solid State Physics (1983)

378 Citations

A unified approach to the interpretation of displacive and order–disorder systems. I. Thermodynamical aspect

S. Aubry.
Journal of Chemical Physics (1975)

305 Citations

Breather Mobility in Discrete φ 4 Nonlinear Lattices

Ding Chen;S. Aubry;G. P. Tsironis.
Physical Review Letters (1996)

271 Citations

Absence of wave packet diffusion in disordered nonlinear systems.

G. Kopidakis;S. Komineas;S. Flach;S. Aubry.
Physical Review Letters (2008)

267 Citations

Devil's staircase and order without periodicity in classical condensed matter

S. Aubry.
Journal De Physique (1983)

266 Citations

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