A) They only work for dense gases. B) They contradict Newtonian mechanics. C) They are mathematically impossible to solve. D) They are not generally usable in practical problems.
A) Exact inverse power laws B) The BBGKY expansion C) Hilbert's sixth problem D) Lattice Boltzmann methods
A) Proving that particles have internal degrees of freedom. B) Defining the trajectory of cancer cells. C) Representing the solution close to local equilibrium. D) Calculating the size of pointlike particles.
A) The BBGKY hierarchy B) The Enskog equation C) Euler and Navier–Stokes equations D) Newtonian mechanics
A) They ignore translational motion. B) They are not defined for rarefied gases. C) They are always equal to zero. D) They have singularities.
A) The Enskog generalization B) Lanford's theorem C) The hypersonic aerodynamics limit D) Hilbert's sixth problem
A) Particles are exclusively charged. B) Particles are spheres of fixed radius. C) Particles have varying mass. D) Particles are pointlike.
A) It ignores collisions completely. B) It assumes all particles are at rest. C) It only applies to plasma flows. D) It accounts for particles having finite size.
A) It must be generalized and may include inelastic collisions. B) It is no longer valid for dilute gases. C) It becomes the Euler equation. D) It must be solved using only binary collisions.
A) Using the BBGKY hierarchy. B) By assuming pointlike particles. C) Using the Navier–Stokes equations. D) Through the Chapman–Enskog expansion.
A) Chemotaxis-related effects B) Hypersonic aerodynamics C) Electrical conductivity calculations D) Boundary value deformation
A) Oscar Lanford B) Yu Deng, Zaher Hani, and Xiao Ma C) Hilbert and Boltzmann D) The authors of the lattice Boltzmann method
A) It failed to account for pointlike particles. B) It was restricted to very short time intervals. C) It only worked for plasma flows. D) It relied solely on numerical methods.
A) The mesoscopic kinetic description. B) The macroscopic Navier–Stokes equations. C) The calculation of electrical conductivity. D) The study of cancer cell invasion.
A) How macroscopic irreversibility emerges from time-reversible laws. B) The singularity of higher-order expansion terms. C) The exact size of molecules in a liquid. D) How to solve the Enskog equation for dense gases.
A) Conservation of momentum B) Conservation of particle number C) Conservation of mass D) Conservation of entropy
A) Viscous stress tensor plus hydrostatic pressure B) Only viscous stress tensor C) Only hydrostatic pressure D) The heat flux vector
A) Conservation of momentum B) Conservation of energy C) Conservation of angular momentum D) Conservation of charge
A) Heat flux vector B) Density flux C) Force vector D) Pressure tensor
A) m(v_i)2 B) m(v_i)3 C) m(v_i)/2 D) m(v_i)
A) Viscous stress B) External force term C) Kinetic thermal energy D) Pressure gradient
A) m(v_i)2 / 2 B) p_i v_i C) m(v_i) / 2 D) m(v_i)2
A) Only hydrostatic pressure B) Heat flux vector J_qi C) The time derivative of density D) The particle mass m
A) Maxwell-Boltzmann equation B) Fermi-Dirac equation C) Vlasov equation D) Bose-Einstein equation
A) Two-body interaction postulate B) Differential cross section hypothesis C) Molecular chaos assumption D) Statistical equilibrium assumption
A) Total number of particles B) Mass density C) Differential cross section D) Force field intensity
A) The change in mass B) The application of a force field C) The measurement of time D) The collision
A) Position-based scalar product B) Momentum-space integral C) Time-dependent derivative D) Force field vector sum
A) v = mp B) p = v/m C) p = mv D) p = m/v
A) The collision integral B) Newton's second law C) The diffusion constant D) Liouville's theorem
A) Δf B) ∂f/∂t C) ∇r D) ∇p
A) ∂/∂px, ∂/∂py, ∂/∂pz B) ∂/∂x, ∂/∂y, ∂/∂z C) ∂/∂v, ∂/∂m, ∂/∂t D) ∂/∂t, ∂/∂r, ∂/∂p
A) Vacuum state B) Absolute zero C) Static equilibrium D) Non-equilibrium
A) 12-dimensional B) 6-dimensional C) 3-dimensional D) 4-dimensional
A) Three B) One C) Nine D) Six
A) Quantum entanglement B) Viscosity C) General relativity D) Atomic decay
A) Yes B) Only in mixtures C) Only at absolute zero D) No, they are always different
A) A superconducting wire B) A fluid with temperature gradients C) A gravitational field D) A static solid crystal
A) f B) ν C) p D) m
A) Time interval B) Spatial dimension C) Chemical species D) Force vector component
A) Ω B) j C) r D) t
A) Integration over spatial volume B) Integration over time C) Integration over solid angle D) Integration over force magnitude
A) n B) g C) m D) p
A) Newtonian summation convention B) Maxwell summation convention C) Einstein summation convention D) Boltzmann summation convention
A) Liouville operator B) Langevin operator C) Lagrangian operator D) Linearization operator
A) Quantum optics B) Stellar nucleosynthesis C) Fluid statistics D) Galactic dynamics
A) Christoffel symbol B) Density gradient C) Gamma function D) Gravitational constant
A) Thermodynamic equilibrium calculations B) Classical mechanics C) Baryogenesis D) Newtonian gravity
A) Mixed contravariant-covariant B) Fully contravariant C) Euclidean D) Fully covariant
A) Supernova explosion B) Galaxy formation C) Big Bang nucleosynthesis D) Solar flare activity |