# Kinetic solutions of the Boltzmann-Peierls equation and its moment systems

## Related Articles

- Fokker-Planck Equation and Thermodynamic System Analysis. Lucia, Umberto; Gervino, Gianpiero // Entropy;2015, Vol. 17 Issue 2, p763
The non-linear Fokker-Planck equation or Kolmogorov forward equation is currently successfully applied for deep analysis of irreversibility and it gives an excellent approximation near the free energy minimum, just as Boltzmann's definition of entropy follows from finding the maximum entropy...

- Canonical-dissipative limit cycle oscillators with a short-range interaction in phase space. Mongkolsakulvong, S.; Frank, T. D. // Condensed Matter Physics;Apr2010, Vol. 13 Issue 1, p13001.1
We consider limit cycle oscillators in terms of canonical-dissipative systems that exhibit a short-range interaction in velocity and position space as described by the Dirac delta function. We derive analytical expressions for stationary distribution functions in phase space and energy space and...

- Colored Cross-Correlated Noises Driven Dynamical Systems: Time Dependence of Information Entropy and Its Time Derivative. Goswami, Gurupada; Majee, Pradip; Bag, Bidhan // International Journal of Theoretical Physics;May2008, Vol. 47 Issue 5, p1173
In this paper we have studied information entropy and its time derivative for colored cross-correlated noise driven open systems. These quantities are calculated based on the Fokkerâ€“Planck description of stochastic processes. Our results consider the effect of the noise correlation...

- Potential and flux field landscape theory. II. Non-equilibrium thermodynamics of spatially inhomogeneous stochastic dynamical systems. Wei Wu; Jin Wang // Journal of Chemical Physics;9/14/2014, Vol. 141 Issue 10, p1
We have established a general non-equilibrium thermodynamic formalism consistently applicable to both spatially homogeneous and, more importantly, spatially inhomogeneous systems, governed by the Langevin and Fokker-Planck stochastic dynamics with multiple state transition mechanisms, using the...

- Thermal Equilibrium and KMS Condition at the Planck Scale. Bogdanoff, G.; Bogdanoff, I. // Chinese Annals of Mathematics;Apr2003, Vol. 24 Issue 2, p267
Considering the expected thermal equilibrium characterizing the physics at the Planck scale, it is here stated, for the first time, that, as a system, the space-time at the Planck scale must be considered as subject to the Kubo-Martin-Schwinger (KMS) condition. Consequently, in the interior of...

- Free energy landscape for the translocation of polymer through an interacting pore. Sun, Li-Zhen; Cao, Wei-Ping; Luo, Meng-Bo // Journal of Chemical Physics;11/21/2009, Vol. 131 Issue 19, p194904
Free energy landscapes for polymer chain translocating through an interacting pore are calculated by using exact enumeration method. A potential barrier exists at weak attractive or repulsive polymer-pore interaction and it changes to a potential well with the increase in the attraction. The...

- Free energies based on generalized entropies and H-theorems for nonlinear Fokker-Planck equations. Shiino, Masatoshi // Journal of Mathematical Physics;Jun2001, Vol. 42 Issue 6
The relationship between H-theorems and free energies is studied on the basis of generalized entropies. Two kinds of nonlinear Fokker-Planck equations with different nonlinear diffusion terms that exhibit the power-law-type equilibrium distributions of Tsallis thermostatistics are investigated...

- Fundamental limitations on plasma fusion systems not in thermodynamic equilibrium. Rider, Todd H. // Physics of Plasmas;Apr97, Vol. 4 Issue 4, p1039
Discusses the use of analytical Fokker-Planck calculations to accurately determine the minimum power that must be recycled in order to maintain a plasma out of thermodynamic equilibrium despite collisions. Comparison of the minimum recirculating power to the fusion power; Inability of grossly...

- Nonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations. Chavanis, P. H. // European Physical Journal B -- Condensed Matter;Mar2008, Vol. 62 Issue 2, p179
We study a general class of nonlinear mean field Fokker-Planck equations in relation with an effective generalized thermodynamical (E.G.T.) formalism. We show that these equations describe several physical systems such as: chemotaxis of bacterial populations, Bose-Einstein condensation in the...