This work is concerned with the Hamiltonian field formulation of the equations that describe two-dimensional non-dissipative gyroviscous onefluid plasmas [I, 2, 3, 4J. These equations differ from the usual Eulerian form of ideal MHO by the inclusion of a non-entropy-producing stress tensor that arises from the finiteness of the ion gyroradius. The physics of this stress \ensor is important for ...

We establish the mean-field bounds γ≥1, δ≥2 and △≥2 on critical exponents of Poisson-Boolean continuum percolation model under a moment condition radii; these were previously known only in special case fixed radii (in γ), or not at all δ △). deduce as consequences bound β≤1, recently established same [8], using relative entropy method introduced by authors previous work [7].

We prove upper bounds on the one-arm exponent $$\eta _1$$ for a class of dependent percolation models which generalise Bernoulli percolation; while our main interest is level set Gaussian fields, arguments apply to other in universality class, including Poisson–Voronoi and Poisson–Boolean percolation. More precisely, dimension $$d=2$$ we that _1 \le 1/3$$ continuous fields with rapid correlatio...

In this paper, we study type II Streater's models. These models describe the coupled evolution of the density of a cloud of particles in an external potential and a temperature, preserving the energy, with eventually a nonlocal Poisson coupling. We introduce an entropy and consider in a bounded domain, or in an unbounded domain with a conning external potential, the stationary solutions (with g...

In this paper, a robust watermarking scheme for digital video sequence which is based on Entropy concept and Hadamard transformation technique is proposed. The proposed technique can hide an entire image or pattern as a watermark directly into the original video sequence. Hadamard transformation is used for converting cover video from spatial domain to transform domain in order to reduce the co...

We propose a formal extension of thermodynamics and kinetic theories to a larger class of entropy functionals. Kinetic equations associated to Boltzmann, Fermi, Bose and Tsallis entropies are recovered as a special case. This formalism first provides a unifying description of classical and quantum kinetic theories. On the other hand, a generalized thermodynamical framework is justified to descr...

We prove existence of rotating star solutions which are steady-state solutions of the compressible isentropic Euler-Poisson (EP) equations in 3 spatial dimensions, with prescribed angular momentum and total mass. This problem can be formulated as a variational problem of finding a minimizer of an energy functional in a broader class of functions having less symmetry than those functions conside...

We consider a randomized policy to control the M/G/1 queueing system with an unreliable server, second optional service and general startup times. The server is subject to breaking down according to a Poisson process, and the repair time obeys a general distribution. All arrived customers demand the first required service, and only some of the arrived customers demand the second optional servic...

In this paper we analyze a single removable and unreliable server in the N policy M/G/1 queueing system in which the server breaks down according to a Poisson process and the repair time obeys an arbitrary distribution. The method of maximum entropy is used to develop the approximate steady-state probability distributions of the queue length in the M/G(G)/1 queueing system, where the second and...

We show that a reversible pumping mechanism operating between two states of a kinetic network can give rise to Poisson transitions between these two states. An external observer, for whom the pumping mechanism is not accessible, will observe a Markov chain satisfying local detailed balance with an emerging effective force induced by the hidden pump. Due to the reversibility of the pump, the act...