### Conveners

#### Special Ideas, Methods, and Applications

- Constantino Tsallis (Centro Brasileiro de Pesquisas Fisicas)

#### Special Ideas, Methods, and Applications

- Peter Van (Wigner FK, RMI, Elméleti Fizika Osztály)

### Description

Diverse ideas from all areas of theoretical physics.

In modern continuum mechanics there are several mathematical methods to deduce the consequences of the entropy inequality: establis constitutive functions, constitutive relations and evolution equations. These methods are challenged by gradient dependent constitutive state spaces. One of the most powerfull techniques is Liu procedure, a method to solve conditional inequalities. Then one can...

We consider the evolution equations for the bulk viscous pressure, diffusion current and shear

tensor derived within the second order relativistic dissipative hydrodynamics from kinetic theory.

By matching the higher order moments directly to the dissipative quantities, all terms which are

of second order in the Knudsen number Kn vanish, leaving only terms of order O(Re−1 Kn) and

O(Re−2)...

In most of the engineering problems, the classical constitutive laws such as Fourier and Navier-Stokes equations are applicable. However, there are certain cases when these models require the generalization of the constitutive equations [1]. Such deviation can be observed also in case of rarefied gases. The deviation occurs due to the so-called ballistic propagation effects [2].

In this...

We find an argument related to the existence of a Z_2-symmetry for the renormalization group flow derived from the bare Yang–Mills Lagrangian, and show that the cancellation of the vacuum energy may arise motivated both from the renormalization group flow solutions and the effective Yang–Mills action. In the framework of the effective Savvidy’s action, two Mirror minima are allowed, with...

Proton therapy is a novel treatment against cancer, thanks to its advantageous deep dose distribution

containing the so-called Bragg-peak, just before the stopping position of the protons. To focus this peak

into the tumor volume is a big challenge, as it requires the determination of the deep dose distribution

for every beam during dose planning. This incoming information of the deep dose...

The introduction of nonadditive entropies enables a convenient generalization of Boltzmann-Gibbs statistical mechanics, currently referred to as nonextensive statistical mechanics. Its foundations and illustrative applications to high energy physics, plasmas and scale-free networks will be briefly presented.

Updated Bibliography is available at http://tsallis.cat.cbpf.br/biblio.htm ,...