Quasiclassical approach to kinetic equations for superfluid 3helium: General theory and application to the spin dynamics

1981 ◽  
Vol 133 (1) ◽  
pp. 214
Keyword(s):  
General Theory ◽  
Spin Dynamics ◽  
Kinetic Equations

Kinetic equations for plasmas subjected to a strong time-dependent extenal field. Part 2. The weak-interaction approximation

1974 ◽  
Vol 11 (3) ◽  
pp. 377-387 ◽  
Author(s):  
R. Balescu ◽  
J. H. Misguich
Keyword(s):  
Kinetic Equation ◽  
General Theory ◽  
Weak Interaction ◽  
Weak Coupling ◽  
Kinetic Equations ◽  
Time Dependent ◽  
External Fields ◽  
Interaction Approximation

The general theory developed in part 1 is illustrated for a plasma described by the weak-coupling (Landau) approximation. The kinetic equation, valid for arbitrarily strong external fields, is written out explicitly.

The “Fractional” Kinetic Equations and General Theory of Dielectric Relaxation

2005 ◽  
Author(s):  
Raoul R. Nigmatullin
Keyword(s):  
General Theory ◽  
Dielectric Relaxation ◽  
Collective Motion ◽  
Kinetic Equations ◽  
Heterogeneous Materials ◽  
Complex Conjugate ◽  
Electric Circuits ◽  
Self Similar ◽  
Fractional Kinetic Equations ◽  
Frequency Temperature

Based on the Mori-Zwanzig formalism it becomes possible to suggest a general decoupling procedure, which reduces a wide set of various micromotions distributed over a self-similar structure to a few collective/reduced motions describing the relaxation/exchange behavior of a complex system in the mesoscale region. The frequency dependence of the reduced collective motion contains real and pair of complex-conjugate power-law exponents in the frequency domain and explains naturally the “universal response” (UR) phenomenon discovered by A. Jonscher in a wide class of heterogeneous materials. This strict mathematical result allows in developing a consistent and general theory of dielectric relaxation that can describe wide set of dielectric spectroscopy (DS) data measured in some frequency/temperature range in many heterogeneous materials. Based on this result it becomes possible also to suggest a new set of two-pole elements, which generalizes the conventional RLC-elements and can constitute the basis of new theory of the linear electric circuits.

General theory of multistage geminate reactions of isolated pairs of reactants. I. Kinetic equations

2014 ◽  
Vol 140 (18) ◽  
pp. 184104 ◽  
Author(s):  
Alexander B. Doktorov ◽  
Alexey A. Kipriyanov
Keyword(s):  
General Theory ◽  
Kinetic Equations

Kinetic equations for plasmas subjected to a strong time-dependent external field. Part 1. General theory

1974 ◽  
Vol 11 (3) ◽  
pp. 357-375 ◽  
Author(s):  
R. Balescu ◽  
J. H. Misguich
Keyword(s):  
Distribution Function ◽  
Kinetic Equation ◽  
General Theory ◽  
External Field ◽  
Projection Operator ◽  
Nonlinear Response ◽  
Particle Distribution ◽  
Kinetic Equations ◽  
Time Dependent ◽  
Distribution Vector

It is shown that the concept of subdynamics introduced by Prigogine, George & Henin, and extended by Balescu & Wallenborn, can be generalized nontrivially to systems submitted to time-dependent external fields. The distribution vector of the system is split into two components by means of a time- dependent projection operator. Each of these obeys an independent equation of evolution. The description of the evolution of one of these components (the superkinetic component) can be reduced to a kinetic equation for a one-particle distribution function. It is shown that, when the external field vanishes for all times t ≤ t0, and if the system has reached a (field-free) equilibrium (or a ‘kinetic state’) at time t0, then for t ≥ t0 the kinetic equation derived here provides an exact and complete description of the evolution. A general expression for the nonlinear response of the system to the external field is derived.

Extreme self-sacrifice beyond fusion: Moral expansiveness and the special case of allyship

2018 ◽  
Vol 41 ◽  
Author(s):  
Daniel Crimston ◽  
Matthew J. Hornsey
Keyword(s):  
General Theory ◽  
Biological Markers ◽  
Natural Environment ◽  
Relevant Dimension ◽  
Special Case

AbstractAs a general theory of extreme self-sacrifice, Whitehouse's article misses one relevant dimension: people's willingness to fight and die in support of entities not bound by biological markers or ancestral kinship (allyship). We discuss research on moral expansiveness, which highlights individuals’ capacity to self-sacrifice for targets that lie outside traditional in-group markers, including racial out-groups, animals, and the natural environment.

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