Some Comments of Vlasov-Liouville Equation and its Relation with Gravitational Field
نویسندگان
چکیده
We discuss here the possibility to write the Liouville-Vlasov equation for the Wignerfunction of a spinor field coupled to a gauge field with field strength tensor F μν in a curved space-time versus a local Lorentz manifold (introduction of local Lorentz coordinates) with an appropriate definition of a covariant derivative carried out using a spin connection B μ (x). [email protected]/[email protected] [email protected]
منابع مشابه
Mean Field Limit and Propagation of Chaos for Vlasov Systems with Bounded Forces
We consider large systems of particles interacting through rough but bounded interaction kernels. We are able to control the relative entropy between the N-particle distribution and the expected limit which solves the corresponding Vlasov system. This implies the Mean Field limit to the Vlasov system together with Propagation of Chaos through the strong convergence of all the marginals. The met...
متن کاملLiouville and Bogoliubov Equations with Fractional Derivatives
The Liouville equation, first Bogoliubov hierarchy and Vlasov equations with derivatives of non-integer order are derived. Liouville equation with fractional derivatives is obtained from the conservation of probability in a fractional volume element. This equation is used to obtain Bogoliubov hierarchy and fractional kinetic equations with fractional derivatives. Statistical mechanics of fracti...
متن کاملNumerical convergence in solving the Vlasov equation.
When the Vlasov equation is investigated numerically using the method of test particles, the two-body interactions that inevitably arise in the simulation (but are not present in the Vlasov equation itself) drive the collection of test particles toward a state of classical thermal equilibrium. We estimate the relaxation time associated with this thermalization. The Vlasov equation plays a centr...
متن کاملAiry equation with memory involvement via Liouville differential operator
In this work, a non-integer order Airy equation involving Liouville differential operator is considered. Proposing an undetermined integral solution to the left fractional Airy differential equation, we utilize some basic fractional calculus tools to clarify the closed form. A similar suggestion to the right FADE, converts it into an equation in the Laplace domain. An illustration t...
متن کاملConnecting SLE and minisuperspace Liouville gravity
We show that Fokker-Planck equation for chordal SLE process under a simple rescaling of the probability density can be traced to the minisuperspace Wheeler-de Witt equation for boundary operator in 2d Liouville gravity. Insertion of an operator, calculating SLE critical exponent, corresponds to adding matter contribution to WdW equation. This observation may be useful for understanding of why S...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000