We show that the Boltzmann factor has a geometrical origin. Its derivation follows from the microcanonical picture. The Maxwell-Boltzmann distribution or the wealth distribution in human society are some direct applications of this new interpretation.

We consider a new Stefan-type problem for the classical heat equation with latent and phase-change temperature depending of variable time. prove equivalence this Stefan class boundary value problems nonlinear canonical evolution involving source term two free boundaries. This is obtained by applying reduction to Burgers reciprocal-type transformations. Moreover, particular case, we obtain uniqu...

En este trabajo se analiza el problema de la radiación cuerpo negro considerando acción 4D efectiva proveniente 6D un campo norma libre en una geometría no factorizable, donde las dos dimensiones extra son compactas, pero con diferente topología. Nuestro punto partida es descomposición Kaluza-Klein Maxwell sectores 4D. El primer sector contiene sin masa, mientras que segundo produce conjunto in...

Multicomponent gas transport in porous media and at the interface between free flow occurs a wide range of technical environmental systems. Modeling tools are required for quantitative description such coupled compartments. We present benchmark study to compare different diffusion models as well coupling concepts employed multicomponent medium/free-flow interface. The problems allowed us two (F...

Maxwell equation ∂F = 0 for F ∈ sec ∧2 M ⊂ sec Cl(M), where Cl(M) is the Clifford bundle of differential forms, have subluminal and superluminal solutions characterized by F 2 6= 0. We can write F = ψγ21ψ̃ where ψ ∈ sec Cl(M). We can show that ψ satisfies a non linear DiracHestenes Equation (NLDHE). Under reasonable assumptions we can reduce the NLDHE to the linear Dirac-Hestenes Equation (DHE)....

We show that the Maxwell equations for arbitrary inhomogeneous media are equivalent to a single quaternionic equation which can be considered as a generalization of the Vekua equation for generalized analytic functions.

We present in this paper a stability study concerning nite volume schemes applied to the Maxwell system. A stability condition is proved for the rst-order upwind scheme using a rectangular mesh. Stability comparisons between the Yee scheme and the nite volume formulation are proposed. We also compare the stability domains obtained when considering the Maxwell system and the convection equation.