• Adiabatic-nonadiabatic transition in warm long-range interacting systems : the transport of intense inhomogeneous beams 

      Souza, Everton Granemann; Endler, Antônio; Rizzato, Felipe Barbedo; Pakter, Renato (2012) [Artigo de periódico]
      We investigate the role of the temperature in the onset of singularities and the consequent breakdown in a macroscopic fluid model for long-range interacting systems. In particular, we consider an adiabatic fluid description ...
    • Alternate islands of multiple isochronous chains in wave-particle interactions 

      Sousa, Meirielen Caetano de; Caldas, Ibere Luiz; Ozorio de Almeida, Alfredo Miguel; Rizzato, Felipe Barbedo; Pakter, Renato (2013) [Artigo de periódico]
      We analyze the dynamics of a relativistic particle moving in a uniform magnetic field and perturbed by a standing electrostatic wave. We show that a pulsed wave produces an infinite number of perturbative terms with the ...
    • An analytical model to determine equilibrium quantities of azimuthally symmetric and mismatched charged particle beams under linear focusing 

      Nunes, Roger Pizzato; Pakter, Renato; Rizzato, Felipe Barbedo (2008) [Artigo de periódico]
      The model developed here analytically allows to obtain equilibrium quantities of interest from high-intensity charged particle beams such as the emittance, beam envelope, and the number of beam halo particles. The results ...
    • Bifurcations leading to stochasticity in a cyclotron-maser system 

      Pakter, Renato; Corso, Gilberto Luiz; Caetano, Tiberio Silva; Dillenburg, Darcy; Rizzato, Felipe Barbedo (1994) [Artigo de periódico]
      This paper is concerned with the orbital dynamics of electrons in a cyclotron maser [CO Chen, Phys. Rev. A 46,6654 (1992)] with modulated maser fields. Amplitude modulation is a natural result of wave-particle energy ...
    • Centroid motion in periodically focused beams 

      Moraes, Jorge da Silva; Pakter, Renato; Rizzato, Felipe Barbedo (2005) [Artigo de periódico]
      The role of the centroid dynamics in the transport of periodically focused particle beams is investigated. A Kapchinskij–Vladimirskij equilibrium distribution for an off-axis beam is derived. It is shown that centroid and ...
    • Chaos and coherence in the conservative three-mode decay interaction 

      Frichembruder, Marcos; Pakter, Renato; Gerhardt, Gunther Johannes Lewczuk; Rizzato, Felipe Barbedo (2000) [Artigo de periódico]
      In this work we analyze the influence of chaos on the coherence of the mismatched three-wave interaction. Chaos starts to play a decisive role in the problem when adiabatic approximations leading to an integrable model for ...
    • Chaos and relaxation to equilibrium in systems with long-range interactions 

      Antunes, Felipe Leite; Benetti, Fernanda Pereira da Cruz; Pakter, Renato; Levin, Yan (2015) [Artigo de periódico]
      In the thermodynamic limit, systems with long-range interactions do not relax to equilibrium, but become trapped in nonequilibrium stationary states. For a finite number of particles a nonequilibrium state has a finite ...
    • Chaotic dynamics induced by space-charge waves in cyclotron resonance accelerators 

      Pakter, Renato; Caldas, Ibere Luiz; Couto, Flavia de Oliveira; Caetano, Tiberio Silva; Rizzato, Felipe Barbedo (1996) [Artigo de periódico]
      In this work, we analyze the effects produced by the inclusion of space-charge waves in a Hamiltonian model for a cyclotron resonant accelerator. We find that space charges impose limits on acceleration and that these ...
    • Chaotic particle heating due to an obliquely propagating wave in a magnetized plasma 

      Silva, Thales Marques Corrêa da; Pakter, Renato; Rizzato, Felipe Barbedo; Sousa, Meirielen Caetano de; Caldas, Ibere Luiz; Steffens, Fernanda Monti (2013) [Artigo de periódico]
      We study the dynamics of a relativistic charged particle in the presence of a uniform magnetic field and a stationary electrostatic wave that propagates at an arbitrary angle. The wave is considered as a series of periodic ...
    • Coherence–incoherence transition in nonlinear wave interactions 

      Frichembruder, Marcos; Pakter, Renato; Rizzato, Felipe Barbedo (2005) [Artigo de periódico]
      In this paper we analyze the transition from coherent to incoherent wave dynamics in a broad-band triplet interaction, where, in contrast to previous models, wave vector selection rules are imposed on the nonlinear terms ...
    • Cold-fluid equilibrium for a corkscrewing elliptic beam in a variably focusing channel 

      Pakter, Renato; Chen, Chiping (2000) [Artigo de periódico]
      It is shown that there exists a new class of cold-fluid corkscrewing elliptic beam equilibria for ultrahigh-brightness, space-charge-dominated beam propagation through a linear focusing channel consisting of uniform ...
    • Collisionless relaxation in gravitacional systems from violent relaxation to gravothermal collapse 

      Levin, Yan; Pakter, Renato; Rizzato, Felipe Barbedo (2008) [Artigo de periódico]
      Theory and simulations are used to study collisionless relaxation of a gravitational N-body system. It is shown that when the initial one-particle distribution function satisfies the virial condition—potential energy is ...
    • Collisionless relaxation in non-neutral plasmas 

      Levin, Yan; Pakter, Renato; Teles, Tarcisio Nunes (2008) [Artigo de periódico]
      A theoretical framework is presented which allows us to quantitatively predict the final stationary state achieved by a non-neutral plasma during a process of collisionless relaxation. As a specific application, the theory ...
    • Combined centroid-envelope dynamics of intense, magnetically focused charged beams surrounded by conducting walls 

      Fiuza, Karen; Rizzato, Felipe Barbedo; Pakter, Renato (2006) [Artigo de periódico]
      In this paper we analyze the combined envelope-centroid dynamics of magnetically focused high-intensity charged beams surrounded by conducting walls. Similar to the case where conducting walls are absent, it is shown that ...
    • Comment on "Thermostatistics of overdamped motion of interacting particles" 

      Pakter, Renato; Levin, Yan (2011) [Artigo de periódico]
    • Controlling chaos in wave-particle interactions 

      Sousa, Meirielen Caetano de; Caldas, Ibere Luiz; Rizzato, Felipe Barbedo; Pakter, Renato; Steffens, Fernanda Monti (2012) [Artigo de periódico]
      We analyze the behavior of a relativistic particle moving under the influence of a uniform magnetic field and a stationary electrostatic wave. We work with a set of pulsed waves that allows us to obtain an exact map for ...
    • Core-halo boundary in a sheet beam model 

      Carlan Júnior, Antônio Henrique; Pakter, Renato (2021) [Artigo de periódico]
      In this paper, halo formation in a sheet beam model is investigated. Special attention is given to the core-halo boundary. In particular, a the ory to determine the final stationary state achieved by an initially mismatched ...
    • Core-halo distribution in the Hamiltonian mean-field model 

      Pakter, Renato; Levin, Yan (2011) [Artigo de periódico]
      We study a paradigmatic system with long-range interactions: the Hamiltonian mean-field (HMF) model. It is shown that in the thermodynamic limit this model does not relax to the usual equilibrium Maxwell-Boltzmann distribution. ...
    • Correlation decay and partial coherence in nonlinear wave interactions 

      Rizzato, Felipe Barbedo; Pakter, Renato; Lopes, Sérgio Ribeiro (2003) [Artigo de periódico]
      In the present analysis we study the broad-band triplet interaction in regimes of large amplitudes. Linear response theories associated with nonlinear arguments are used to show that even though coherence of highfrequency ...
    • Driven one-component plasmas 

      Rizzato, Felipe Barbedo; Pakter, Renato; Levin, Yan (2009) [Artigo de periódico]
      A statistical theory is presented that allows the calculation of the stationary state achieved by a driven one-component plasma after a process of collisionless relaxation. The stationary Vlasov equation with appropriate ...