Bénard Cells: A Model Dissipative System
نویسندگان
چکیده
Bénard convection, is one of the more intensely studied dissipative systems, both theoretically and empirically. It is therefore a useful starting point for discussing the properties of dissipative structures and developing an analogy between such structures and development and evolution. Both the simplifications involved in the Bénard cells and the possibilities that are nonetheless allowed are remarkable. We will present some positive and negative analogies with more complex systems, and give two examples from biology, one from evolution, and the other from development.
منابع مشابه
A Dissipative Integral Sliding Mode Control Redesign Method
This paper develops a new method of integral sliding mode control redesign for a class of perturbed nonlinear dissipative switched systems by modifying the dissipativity-based control law that was designed for the unperturbed systems. The nominal model is considered affine with matched and unmatched perturbations. The redesigned control law includes an integral sliding-based control signal such...
متن کاملDilations, models, scattering and spectral problems of 1D discrete Hamiltonian systems
In this paper, the maximal dissipative extensions of a symmetric singular 1D discrete Hamiltonian operator with maximal deficiency indices (2,2) (in limit-circle cases at ±∞) and acting in the Hilbert space ℓ_{Ω}²(Z;C²) (Z:={0,±1,±2,...}) are considered. We consider two classes dissipative operators with separated boundary conditions both at -∞ and ∞. For each of these cases we establish a self...
متن کاملRayleigh-Bénard Convection as a Nambu-metriplectic problem
Abstract. The traditional Hamiltonian structure of the equations governing conservative Rayleigh-Bénard convection (RBC) is singular, i.e. it’s Poisson bracket possesses nontrivial Casimir functionals. We show that a special form of one of these Casimirs can be used to extend the bilinear Poisson bracket to a trilinear generalised Nambu bracket. It is further shown that the equations governing ...
متن کاملFinite temperature correlation function of two dissipative massive scalar fields: Thermofield approach
The present paper aims at investigating the manner of two dissipative massive scalar fields. Two massive scalar fields that interact with a reservoir were considered and a reservoir was modeled by continuum Klein-Gordon fields. The Lagrangian of the total system was canonically quantized and the dynamics of the system was determined using the Euler-Lagrange equation. Then, the explicit form of the...
متن کاملبررسی دینامیکی ذرات خارج شده از هسته برانگیخته با استفاده از روش لانژوین
Using Langevin dynamics and the dissipative nature of the fission process, we have studied dynamical variations of nucleus from the formation of the compound nucleus to separation stage of two fission fragments. During this dissipative process, particles such as neutron, proton, alpha particle and gamma ray emit from the compound system. In the present work, the number of emitted particles usin...
متن کامل