Nonlinear Perturbation of a Noisy Hamiltonian Lattice Field Model: Universality Persistence

Article Properties
Cite
Bernardin, Cédric, et al. “Nonlinear Perturbation of a Noisy Hamiltonian Lattice Field Model: Universality Persistence”. Communications in Mathematical Physics, vol. 361, no. 2, 2018, pp. 605-59, https://doi.org/10.1007/s00220-018-3191-z.
Bernardin, C., Gonçalves, P., Jara, M., & Simon, M. (2018). Nonlinear Perturbation of a Noisy Hamiltonian Lattice Field Model: Universality Persistence. Communications in Mathematical Physics, 361(2), 605-659. https://doi.org/10.1007/s00220-018-3191-z
Bernardin, Cédric, Patrícia Gonçalves, Milton Jara, and Marielle Simon. “Nonlinear Perturbation of a Noisy Hamiltonian Lattice Field Model: Universality Persistence”. Communications in Mathematical Physics 361, no. 2 (2018): 605-59. https://doi.org/10.1007/s00220-018-3191-z.
Bernardin C, Gonçalves P, Jara M, Simon M. Nonlinear Perturbation of a Noisy Hamiltonian Lattice Field Model: Universality Persistence. Communications in Mathematical Physics. 2018;361(2):605-59.
Refrences
Title Journal Journal Categories Citations Publication Date
3/4-Fractional Superdiffusion in a System of Harmonic Oscillators Perturbed by a Conservative Noise Archive for Rational Mechanics and Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Science: Mathematics
30 2016
Superdiffusion of Energy in a Chain of Harmonic Oscillators with Noise Communications in Mathematical Physics
  • Science: Mathematics
  • Science: Physics
43 2015
The One-Dimensional KPZ Equation and Its Universality Class Journal of Statistical Physics
  • Science: Mathematics
  • Science: Physics
145 2015
Anomalous Energy Transport in FPU- $$\beta $$ β Chain Journal of Statistical Physics
  • Science: Mathematics
  • Science: Physics
10 2015
From Normal Diffusion to Superdiffusion of Energy in the Evanescent Flip Noise Limit Journal of Statistical Physics
  • Science: Mathematics
  • Science: Physics
11 2015
Refrences Analysis
The category Science: Mathematics 6 is the most frequently represented among the references in this article. It primarily includes studies from Communications in Mathematical Physics The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
Derivation of Anomalous Behavior from Interacting Oscillators in the High-Temperature Regime

Communications in Mathematical Physics
  • Science: Mathematics
  • Science: Physics
2023
Non-equilibrium Stationary Properties of the Boundary Driven Zero-Range Process with Long Jumps Journal of Statistical Physics
  • Science: Mathematics
  • Science: Physics
1 2022
Stationary directed polymers and energy solutions of the Burgers equation Stochastic Processes and their Applications
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
6 2020
Equilibrium fluctuation for an anharmonic chain with boundary conditions in the Euler scaling limit Nonlinearity
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Mathematics
4 2020
Hyperbolic scaling limit of non-equilibrium fluctuations for a weakly anharmonic chain Electronic Journal of Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2020
Citations Analysis
The category Science: Mathematics 5 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Hyperbolic scaling limit of non-equilibrium fluctuations for a weakly anharmonic chain and was published in 2020. The most recent citation comes from a 2023 study titled Derivation of Anomalous Behavior from Interacting Oscillators in the High-Temperature Regime. This article reached its peak citation in 2020, with 3 citations. It has been cited in 5 different journals. Among related journals, the Communications in Mathematical Physics cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year