H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 85 Citations 25,699 210 World Ranking 50 National Ranking 5

Research.com Recognitions

Awards & Achievements

2015 - Three Physicists Prize (Prix des trois physiciens), École Normale Supérieure (ENS)

2011 - Member of Academia Europaea

2001 - Ampère Prize (Prix Ampère de l’Électricité de France), French Academy of Sciences

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

Bernard Derrida spends much of his time researching Statistical physics, Condensed matter physics, Mathematical analysis, Simple and Phase transition. Bernard Derrida specializes in Statistical physics, namely Large deviations theory. In general Condensed matter physics, his work in Electronic structure is often linked to Exponent linking many areas of study.

His work in Mathematical analysis covers topics such as Asymmetric simple exclusion process which are related to areas like Stochastic process and Particle. His work investigates the relationship between Simple and topics such as Current that intersect with problems in Additive function, Matrix, Distribution, Ring and Function. His studies deal with areas such as Reaction–diffusion system, Spin glass, Phase, Phase velocity and Nonlinear system as well as Phase transition.

His most cited work include:

  • Exact solution of a 1d asymmetric exclusion model using a matrix formulation (1124 citations)
  • Random-energy model: An exactly solvable model of disordered systems (1023 citations)
  • Non-equilibrium steady states: fluctuations and large deviations of the density and of the current (677 citations)

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

The scientist’s investigation covers issues in Statistical physics, Condensed matter physics, Simple, Mathematical analysis and Phase transition. His Statistical physics research is multidisciplinary, incorporating elements of Current and Random energy model. His study looks at the relationship between Current and fields such as Mathematical physics, as well as how they intersect with chemical problems.

His Condensed matter physics research incorporates themes from Phase and Scaling. His Mathematical analysis study combines topics in areas such as Lattice and Asymmetric simple exclusion process. He combines subjects such as Deviation function, Combinatorics and Brownian motion with his study of Large deviations theory.

He most often published in these fields:

  • Statistical physics (52.62%)
  • Condensed matter physics (17.23%)
  • Simple (18.77%)

What were the highlights of his more recent work (between 2011-2021)?

  • Statistical physics (52.62%)
  • Brownian motion (9.54%)
  • Simple (18.77%)

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

His primary areas of investigation include Statistical physics, Brownian motion, Simple, Large deviations theory and Symmetry breaking. His multidisciplinary approach integrates Statistical physics and Coalescence in his work. His Brownian motion study also includes

  • Random walk, which have a strong connection to Mathematical physics, Power law and Phase transition,
  • Position, which have a strong connection to Mathematical analysis and Probability distribution,
  • Particle which intersects with area such as Classical mechanics,
  • Branching that intertwine with fields like Polymer,
  • Displacement that connect with fields like Realization, Distribution and Limit.

His work carried out in the field of Simple brings together such families of science as Tree, Moment-generating function and Critical regime. His research on Large deviations theory also deals with topics like

  • Deviation function which intersects with area such as Combinatorics,
  • WKB approximation which is related to area like Ring, Langevin dynamics, Markov process, Stochastic process and Discrete time and continuous time. His study focuses on the intersection of Symmetry breaking and fields such as Random energy model with connections in the field of Thermodynamic limit, Symmetry and Ansatz.

Between 2011 and 2021, his most popular works were:

  • Universal current fluctuations in the symmetric exclusion process and other diffusive systems (38 citations)
  • Exact solution of a Lévy walk model for anomalous heat transport. (38 citations)
  • The Depinning Transition in Presence of Disorder: A Toy Model (35 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

His primary scientific interests are in Statistical physics, Brownian motion, Large deviations theory, Position and Random walk. His research integrates issues of Simple, Current, Generalization and Steady state in his study of Statistical physics. His Brownian motion study deals with Particle intersecting with Displacement.

His Large deviations theory study also includes fields such as

  • Deviation function together with Branching random walk, Exponential growth and Particle number,
  • WKB approximation together with Classical mechanics, Ring, Markov process, Stochastic process and Discrete time and continuous time. Bernard Derrida has researched Position in several fields, including Probability distribution, Initial value problem, Laplace transform, Mathematical analysis and Term. As part of one scientific family, Bernard Derrida deals mainly with the area of Random walk, narrowing it down to issues related to the Mathematical physics, and often Conjecture, Essential singularity and Phase transition.

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.

Top Publications

Random-energy model: An exactly solvable model of disordered systems

Bernard Derrida.
Physical Review B (1981)

1635 Citations

Exact solution of a 1d asymmetric exclusion model using a matrix formulation

B Derrida;M R Evans;V Hakim;V Pasquier.
Journal of Physics A (1993)

1374 Citations

Non-equilibrium steady states: fluctuations and large deviations of the density and of the current

Bernard Derrida.
Journal of Statistical Mechanics: Theory and Experiment (2007)

1075 Citations

AN EXACTLY SOLUBLE NON-EQUILIBRIUM SYSTEM : THE ASYMMETRIC SIMPLE EXCLUSION PROCESS

B. Derrida.
Physics Reports (1998)

982 Citations

Random-Energy Model: Limit of a Family of Disordered Models

B. Derrida.
Physical Review Letters (1980)

968 Citations

Random networks of automata: a simple annealed approximation

B. Derrida;Y. Pomeau.
EPL (1986)

891 Citations

An exact solution of a one-dimensional asymmetric exclusion model with open boundaries

B. Derrida;E. Domany;D. Mukamel.
Journal of Statistical Physics (1992)

654 Citations

An Exactly Solvable Asymmetric Neural Network Model

B. Derrida;E. Gardner;A. Zippelius.
EPL (1987)

617 Citations

Optimal storage properties of neural network models

E Gardner;B Derrida.
Journal of Physics A (1988)

546 Citations

Polymers on disordered trees, spin glasses, and traveling waves

B. Derrida;H. Spohn.
Journal of Statistical Physics (1988)

542 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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