Erofeev Vasily

1
Rational paradigm of plasma physics

• Erofeev Vasily
• Institute of Automation and Electrometry of the
  Siberian Branch of Russian Academy
• of Sciences

2
Plan of talk

• A) Discussion of paradigmatic shortcomings in
  the basement of traditional plasma physical
  theory
• 1. Irrationality of an ensemble method.
• 2. The key implications of asymptotic
  character of convergence of perturbation
  expansions
• gt 20 min
• Short discussion of some necessary
  reorganizations in current theoretical physics
  answers on questions
• the rest of allotted time

3
Irrationality of an ensemble method

• Origin of practice of ensemble studies

Gas kinetics by L. Boltzmann (1872)
Statistical thermodynamics by J.W. Gibbs (1902)
Studies by A. Einstein and others
Central culturally conditioned tradition of XXth
century Studies of probabilistic ensembles
4
Irrationality of an ensemble method
5
Irrationality of an ensemble method

• Alternative illustrations of shortsightedness
• of plasma ensemble studies
• Traditional theory distorts absolutely the
  picture of electron distribution evolution when
  the electrons scatter Langmuir waves and
• Undervalues substantially the intensity of
  respective scatter of short Langmuir waves

6
Irrationality of an ensemble method

• Some incarnations of the ensemble method in
  approaches of traditional plasma phyisics
• BBGKY plasma kinetics
• Hydrodynamic modelling of nonlinear plasma
  phenomena
• Hamiltonian approaches to description of
  phenomena in a turbulent plasma

7
Reduction of full plasma description to a kinetic
plasma description
8
Reduction of full plasma description to a kinetic
plasma description
Klimontovich Dupree Maxwell equations
9
Asymptotical convergence of perturbation theory
implications

• Dependence of final deductions of physical laws
  of plasma evolution on the lowest order solution
  of the perturbation theory Necessity of
  selection of the most rational choice of the
  lowest order solution of the theory
• Restrictions on appropriateness of certain
  mathematical procedures in intermediate
  calculations Fourier and Laplace transformations
  are fraught with substantial deviation of final
  theoretical deductions from objective physics of
  plasma evolution

10
Implications of discussed positions for
theoretical physics in general

• A necessity of thorough revision of existing
  conceptions of statistical mechanics
• A necessity of revision of physical kinetics it
  was always rendered as a theory paternal to
  traditional plasma kinetics
• A necessity of developing the physics of discrete
  media instead of the physics of continuous media

11
Key publications

• 1. V.I. Erofeev, Collisionless dissipation of
  Langmuir turbulence. Physics of Plasmas, 2002, 9
  (4), 1137-1149.
• 2. V.I. Erofeev, Impossibility of Zakharov's
  short-wavelength modulational instability in
  plasmas with intense Langmuir turbulence. Journ.
  Plasma Phys., 2002, 68 (1), 1-25.
• 3. V.I. Erofeev, Impossibility of Vedenov -
  Rudakov's plasma modulational instability as one
  more illustration of the inappropriateness of the
  recipes of nonequilibrium statistical mechanics.
  Physics of Plasmas, 2004, 11 (6), 3284-3295.
• 4. V.I. Erofeev, Langmuir wave scattering induced
  by plasma electrons in a single collisionless
  plasma. J. Fus. Energy, 2000, 19 (2), 99-113.
• 5. V.I. Erofeev, Derivation of evolution equation
  for two-time correlation function. Journ. Plasma
  Phys., 2004, 70 (3), 251-270.
• 6. V.I. Erofeev, Derivation of an equation for
  three-wave interactions based on the Klimontovich
  -Dupree equation. Journ. Plasma Phys., 1997, 57
  (2), 273-298.
• 7. V.I. Erofeev, Weak Plasma Turbulence and some
  other items of plasma kinetics. Australian Journ.
  Phys., 1998, 51 (5), 843-857.
• 8. V.I. Erofeev, Influence of Langmuir turbulence
  on plasma electron distribution during the
  induced wave scattering. Journ. Fus. Energy,
  2003, 22 (4), 257-273.