A dynamical model based on the two-fluid dynamical equations with energy generation and loss is obtained and used to investigate the self-generated magnetic fields in high-temperature dense plasmas such as the solar core. The self-generation of magnetic fields might be looked at as a selforganization-type behavior of stochastic thermal radiation fields, as expected for an open dissipative syste...

In this article we show in detail the derivation of an integration scheme for the dissipative particle dynamic model (DPD) using the stochastic Trotter formula [1]. We explain some subtleties due to the stochastic character of the equations and exploit analyticity in some interesting parts of the dynamics. The DPD-Trotter integrator demonstrates the inexistence of spurious spatial correlations ...

Using a combination of Kawashimaand Goodman-type energy estimates, we establish spectral stability of general small-amplitude relaxation shocks of symmetric dissipative systems. This extends previous results obtained by Plaza and Zumbrun [9] by singular perturbation techniques under an additional technical assumption, namely, that the background equation be noncharacteristic with respect to the...

Using a combination of Kawashimaand Goodman-type energy estimates, we establish spectral stability of general small-amplitude relaxation shocks of symmetric dissipative systems. This extends previous results obtained by Plaza and Zumbrun [9] by singular perturbation techniques under an additional technical assumption, namely, that the background equation be noncharacteristic with respect to the...

Smoothed Dissipative Particle Dynamics (SDPD) is a novel coarse-grained mesoscopic method for the simulation of complex fluids representing the effect of microscopic scales by a stochastic process. It has some advantages over more traditional particle-based methods but, on the other hand, shares some problems common to particle-based simulations of microfluidic systems. In particular a prohibit...

Quantum dynamics of a general dissipative system investigated by its coupling to a Klein-Gordon type field as the environment by introducing a minimal coupling method. As an example, the quantum dynamics of a damped three dimensional harmonic oscillator investigated and some transition probabilities indicating the way energy flows between the subsystems obtained. The quantum dynamics of a dissi...

This paper shows that any thermodynamic potential fulfilling some thermodynamic stability criterion (e.g. the chemical affinity or the ectropy) can be used as a potential function for the dissipative (pseudo) Port Hamiltonian formulation of the non isothermal Continuous Stirred Tank Reactor (CSTR) model. Besides Brayton-Moser formulation is used to obtain some dissipative Port Hamiltonian repre...

We show dissipative spatial solitons in nonlinear optical microresonators in which the refractive index is laterally modulated. In addition to "normal" and "staggered" dissipative solitons, similar to those in spatially modulated conservative systems, a narrow "midband" soliton is shown, having no counterparts in conservative systems.

We comment on recently proposed dissipative inflationary models. It is shown that the strength of the inflationary expansion is related to a specific combination of thermodynamic variables which is known to measure the instability of self–gravitating dissipative systems. Also at UCV, Caracas, Venezuela; E-mail address: [email protected] On leave from Universidad Central de Venezuela, Caraca...

In this work, we consider a class of linear dissipative evolution equations. We show that the solution of this class has a polynomial rate of decay as time tends to infinity, but does not have exponential decay. c © 2004 Elsevier Science Ltd. All rights reserved. Keywords—Dissipative systems, Decay rate, Semigroups.