Thermodynamic dual structure of linear-dissipative driven systems

Thermodynamic dual structure of linear-dissipative driven systems.

It is often assumed that maximization of the statistical entropy cannot account for the spontaneous emergence of currents or compositional heterogeneity associated with them, and that other principles involving entropy production (its maximization or minimization) must be invoked to explain the emergence and robustness of the order in driven dissipative systems. I show for a class of simple mod...

Approximating solution of fully fuzzy linear systems in dual form

Stability of Quasi-linear Hyperbolic Dissipative Systems

1. Introduction In this work we want to explore the relationship between certain eigenvalue condition for the symbols of first order partial differential operators describing evolution processes and the linear and nonlinear stability of their stationary solutions. Consider the initial value problem for the following general first order quasi-linear system of equations

Deformation quantization of linear dissipative systems

A simple pseudo-Hamiltonian formulation is proposed for the linear inhomogeneous systems of ODEs. In contrast to the usual Hamiltonian mechanics, our approach is based on the use of a non-stationary Poisson bracket, i.e. the corresponding Poisson tensor is allowed to explicitly depend on time. Starting from this pseudo-Hamiltonian formulation we develop a consistent deformation quantization pro...

Localized States in Driven Dissipative Systems

Localized States in Driven Dissipative Systems