Equilibrium and Linear Response of a Classical Scalar Plasma (original) (raw)
Related papers
On the nature of the plasma equilibrium
We calculate the energy of a homogeneous one component plasma and find that the energy is lower for correlated motions of the particles as compared to uncorrelated motion. Our starting point is the conserved approximately relativistic (Darwin) energy for a system of electromagnetically interacting particles that arises from the neglect of radiation. For the idealized model of a homogeneous one component plasma the energy only depends on the particle canonical momenta and the vector potential. The vector potential is then calculated in terms of the canonical momenta using recent theoretical advances and the plasma Hamiltonian is obtained. The result can be understood either as due to the energy lowering caused by the attraction of parallel currents or, alternatively, as due to the inductive inertia associated with the flow of net current.
Physical Review, 1968
The behavior of the relativistic scalar plasma in the Viasov approximation is analyzed. Equilibrium properties are discussed (equation of state, Debye-Huckel law"phase transitions). A dispersion relation for the propagation of a small disturbance is derived. Hydrodynamical equations are obtained. A number of ambiguities inherent in the theory are emphasized and discussed.
Quantum fluctuations of the relativistic scalar plasma in the Hartree-Vlasov approximation
Physical Review D, 1984
The quantum fluctuations of the relativistic quantum scalar plasma (i.e. , a system of spin-2 fermions interacting through the exchange of scalar particles via a Yukawa-type interaction) are considered within the context of the covariant signer-function approach studied elsewhere. The usual infinities occurring in the conventional many-body theory appear as a consequence of a vacuum Wigner function. They are removed in the Hartree-Vlasov approximation for thermal equilibrium. Results previously obtained by Chin are recovered. The effect of these quantum fluctuations on abnormal matter is briefly discussed. For the sake of illustration, numerical results are given and compared to those first obtained by Kalman.
Bound States of a Relativistic Scalar Plasma System
Structure and Interaction of Hadronics Systems - Proceedings of the VIII International Workshop on Hadron Physics 2002, 2003
We investigate the physics of elementary excitations for the so called relativistic scalar plasma system. Following the standard many-body procedure we have obtained the RPA equations for this model by linearizing the TDHFB equations of motion around equilibrium and shown that these oscillation modes give one-meson and two-fermion state of the theory. The resulting equations have a closed solution, from which one can examinate the conditions for the existence of bound states.
Elementary Excitations of a Relativistic Scalar Plasma System
1999
We investigate the physics of elementary excitations for the so called relativistic scalar plasma system. Following the standard many-body procedure we have obtained the RPA equations for this model by linearizing the TDHFB equations of motion around equilibrium and shown that these oscillation modes give one-meson and two-fermion state of the theory. The resulting equations have a closed solution, from
Initial-value problem in quantum field theory: an application to the relativistic scalar plasma
Physical Review D, 1998
A framework to describe the real-time evolution of interacting fermion-scalar field models is set up. On the basis of the general dynamics of the fields, we derive formal equations of kinetic-type to the set of one-body dynamical variables. A time-dependent projection technique is used then to generate a nonperturbative mean-field expansion leading to a set of self-consistent equations of motion for these observable, where the lowest order corresponds to the Gaussian approximation. As an application, we consider an uniform system of relativistic spin-1/2 fermion field coupled, through a Yukawa term, to a scalar field in 3+1 dimensions, known as quantum scalar plasma. The renormalizability for the Gaussian mean-field equations, both static and dynamical, are examined and initial conditions discussed. We also investigate solutions for the gap equation and show that the energy density has a single minimum.
Statistical thermodynamics of strongly coupled plasma
2004
To analyze nonidealities inherent to degenerate plasma, a quantum collective approach is developed. Thermodynamic functions of a system of partially degenerate electrons and strongly coupled ions are derived from first principles. The model takes into account the energy eigenvalues of i) the thermal translational particle motions, ii) the random collective electron and ion motions, and iii) the static Coulomb interaction energy of the electrons and ions in their oscillatory equilibrium positions. These statistical thermodynamic calculations lead to simple analytical expressions for internal energy as well as an equation of state (EOS). A dispersion relation for the high frequency branch of the plasma oscillations is introduced to take into account the partial degeneracy character and thereby to quantify temperature finiteness effects on thermodynamic properties of a partially degenerate plasma. The present results are in good quantitative agreement with the existing models. These latter being based mainly on numerical experiments while in the present model more physical insight is explicitly stated. This makes a contribution to the theoretical knowledge of coupled plasma for thermonuclear fusion as well as of astrophysical interests.
Fermion pairing dynamics in the relativistic scalar plasma
Physical Review D, 1999
Using many-body techniques we obtain the time-dependent Gaussian approximation for interacting fermion-scalar field models. This method is applied to an uniform system of relativistic spin-1/2 fermion field coupled, through a Yukawa term, to a scalar field in 3+1 dimensions, the so-called quantum scalar plasma model. The renormalization for the resulting Gaussian mean-field equations, both static and dynamical, are examined and initial conditions discussed. We also investigate solutions for the gap equation and show that the energy density has a single minimum.