协同学

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Synergetics is an interdisciplinary science explaining the formation and self-organization of patterns and structures in open systems far from thermodynamic equilibrium. It is founded by Hermann Haken, inspired by the laser theory. Haken's interpretation of the laser principles as self-organization of non-equilibrium systems paved the way at the end of the 1960s to the development of synergetics. One of his successful popular books is Erfolgsgeheimnisse der Natur, translated into English as The Science of Structure: Synergetics.

Synergetics is an interdisciplinary science explaining the formation and self-organization of patterns and structures in open systems far from thermodynamic equilibrium. It is founded by Hermann Haken, inspired by the laser theory. Haken's interpretation of the laser principles as self-organization of non-equilibrium systems paved the way at the end of the 1960s to the development of synergetics. One of his successful popular books is Erfolgsgeheimnisse der Natur, translated into English as The Science of Structure: Synergetics.

协同学是一门跨学科的科学，它解释了远离自我组织的开放系统中模式和结构的形成和热力学平衡。它由赫尔曼 · 哈肯创立，灵感来自于激光理论。哈肯将激光原理解释为非平衡体系的自我组织，这为协同学的发展在20世纪60年代末铺平了道路。他最成功的畅销书之一是《自然的成功》 ，英文译名为《结构科学: 协同学》。

Self-organization requires a 'macroscopic' system, consisting of many nonlinearly interacting subsystems. Depending on the external control parameters (environment, energy-fluxes) self-organization takes place.

Self-organization requires a 'macroscopic' system, consisting of many nonlinearly interacting subsystems. Depending on the external control parameters (environment, energy-fluxes) self-organization takes place.

自我组织需要一个宏观系统，由许多非线性相互作用的子系统组成。根据外部控制参数(环境、能量通量) ，自我组织发生。

Order-parameter concept

有序参数概念

Essential in synergetics is the order-parameter concept which was originally introduced in the Ginzburg–Landau theory in order to describe phase-transitions in thermodynamics. The order parameter concept is generalized by Haken to the "enslaving-principle" saying that the dynamics of fast-relaxing (stable) modes is completely determined by the 'slow' dynamics of as a rule only a few 'order-parameters' (unstable modes). The order parameters can be interpreted as the amplitudes of the unstable modes determining the macroscopic pattern.

Essential in synergetics is the order-parameter concept which was originally introduced in the Ginzburg–Landau theory in order to describe phase-transitions in thermodynamics. The order parameter concept is generalized by Haken to the "enslaving-principle" saying that the dynamics of fast-relaxing (stable) modes is completely determined by the 'slow' dynamics of as a rule only a few 'order-parameters' (unstable modes). The order parameters can be interpreted as the amplitudes of the unstable modes determining the macroscopic pattern.

协同学的本质是序参量的概念，这个概念最初是在 Ginzburg-Landau 理论中引入的，用来描述热力学中的相变。哈肯将序参量概念推广为“奴役原理” ，认为快放松(稳定)模态的动力学完全由“慢”动力学决定，一般只有少数“序参量”(不稳定模态)。阶参数可以解释为决定宏观模式的不稳定模态的振幅。

As a consequence, self-organization means an enormous reduction of degrees of freedom (entropy) of the system which macroscopically reveals an increase of 'order' (pattern-formation). This far-reaching macroscopic order is independent of the details of the microscopic interactions of the subsystems. This supposedly explains the self-organization of patterns in so many different systems in physics, chemistry and biology.

As a consequence, self-organization means an enormous reduction of degrees of freedom (entropy) of the system which macroscopically reveals an increase of 'order' (pattern-formation). This far-reaching macroscopic order is independent of the details of the microscopic interactions of the subsystems. This supposedly explains the self-organization of patterns in so many different systems in physics, chemistry and biology.

因此，自我组织意味着系统自由度(熵)的巨大减少，从宏观上揭示了“秩序”(模式形成)的增加。这种深远的宏观秩序独立于子系统之间微观相互作用的细节。这可能解释了在物理、化学和生物学中许多不同系统中模式的自我组织。

"[...] the statistical properties of laser light change qualitatively at the laser threshold. Below laser threshold noise increases more and more while above threshold it decreases again. [...] Below laser threshold, light consists of individual wave tracks which are emitted from the individual atoms independently of each other. Above laser threshold, a practically infinitely long wave track is produced. In order to make contact with other processes of self-organization let us interpret the processes in a lamp or in a laser by means of Bohr's model of the atom. A lamp produces its light in such a way that the excited electrons of the atoms make their transitions from the outer orbit to the inner orbit entirely independently of each other. On the other hand, the properties of laser light can be understood only if we assume that the transitions of the individual electrons occur in a correlated fashion. [...] Above laser threshold the coherent field grows more and more and it can slave the degrees of freedom of the dipole moments and of the inversion. Within synergetics it has turned out that is a quite typical equation describing effects of self-organization. [...] This equation tells us that the amplitude of the dipoles, which is proportional to A, is instantaneously given by the field amplitude B(t) (and by the fluctuating force). This is probably the simplest example of a principle which has turned out to be of fundamental importance in synergetics and which is called the slaving principle." (Light: Waves, Photons, and Atoms , vol. 2; Laser light dynamics - chapter 13)

"[...] the statistical properties of laser light change qualitatively at the laser threshold. Below laser threshold noise increases more and more while above threshold it decreases again. [...] Below laser threshold, light consists of individual wave tracks which are emitted from the individual atoms independently of each other. Above laser threshold, a practically infinitely long wave track is produced. In order to make contact with other processes of self-organization let us interpret the processes in a lamp or in a laser by means of Bohr's model of the atom. A lamp produces its light in such a way that the excited electrons of the atoms make their transitions from the outer orbit to the inner orbit entirely independently of each other. On the other hand, the properties of laser light can be understood only if we assume that the transitions of the individual electrons occur in a correlated fashion. [...] Above laser threshold the coherent field grows more and more and it can slave the degrees of freedom of the dipole moments and of the inversion. Within synergetics it has turned out that is a quite typical equation describing effects of self-organization. [...] This equation tells us that the amplitude of the dipoles, which is proportional to A, is instantaneously given by the field amplitude B(t) (and by the fluctuating force). This is probably the simplest example of a principle which has turned out to be of fundamental importance in synergetics and which is called the slaving principle." (Light: Waves, Photons, and Atoms , vol. 2; Laser light dynamics - chapter 13)

”[ ... ]激光的统计特性在激光阈值定性变化。低于激光阈值的噪声越来越大，而高于阈值的噪声又越来越小。[ ... ... ]在激光阈值以下，光由单个原子独立发射出来的单个波迹组成。在激光阈值以上，实际上产生了无限长的波迹。为了与自我组织的其他过程取得联系，让我们用玻尔的原子模型来解释灯或激光中的过程。灯产生光的方式使原子的受激电子完全独立地从外层轨道跃迁到内层轨道。另一方面，只有假设单个电子的跃迁以关联方式发生，才能理解激光的性质。[ ... ]超过激光阈值后，相干场增长越来越大，可以从属于偶极矩和反演的自由度。在协同学中，事实证明这是一个描述自我组织效应的非常典型的方程。这个方程告诉我们，偶极子的振幅，与 a 成正比，是由电场振幅 b (t)(和波动力)瞬时给出的。这可能是协同学中具有根本重要性的一个原则的最简单例子，这个原则被称为奴役原则。”(光: 波，光子和原子，卷。2; 激光光动力学-第13章) / blockquote

See also

参见

• Effective field theory

• Josiah Willard Gibbs

• Phase rule

• Free energy principle

• Fokker–Planck equation

• Ginzburg–Landau theory

• Alexander Bogdanov

References

参考资料

• H. Haken: "Synergetics, an Introduction: Nonequilibrium Phase Transitions and Self-Organization in Physics, Chemistry, and Biology", 3rd rev. enl. ed. New York: Springer-Verlag, 1983.

• H. Haken: Advanced Synergetics: Instability Hierarchies of Self-Organizing Systems and Devices. New York: Springer-Verlag, 1993.

• H. Haken: Synergetik. Springer-Verlag Berlin Heidelberg New York 1982,

  
  

  • H. Haken: Light: Waves, Photons, and Atoms,North Holland, Amsterdam, 1981

  
  

  • R. Graham, A. Wunderlin (Hrsg.): Lasers and Synergetics. Springer-Verlag Berlin Heidelberg New York 1987,

    
    

    • A. S. Mikhailov: Foundations of Synergetics I. Distributed active systems (2nd rev. ed. 1994). Springer Verlag, Berlin, 1990,
      .

      
      

      • A. S. Mikhailov, A. Yu. Loskutov: Foundations of Synergetics II. Chaos and Noise, 2nd revised and enlarged edition, Springer Series in Synergetics. Springer, Berlin — Heidelberg 1996 (erste Auflage 1991),
        .

        
        

        • Norbert Niemeier "Organisatorischer Wandel aus der Sicht der Synergetik"; Deutscher Universitätsverlag, Wiesbaden, 2000,

          
          

          • D.S. Chernavskii: "Синергетика и информация: Динамическая теория информации", 2-е изд. М.: УРСС.

            
            

            
            

            
            

            External links

            External links

            外部链接

            • Homepage of the former Institute for Theoretical Physics and Synergetics (IFTPUS)

            
            

            
            

            
            

            Category:Holism

            分类: 整体论

            Category:Cybernetics

            类别: 控制论

            Category:Thermodynamics

            分类: 热力学

            
            

            
            

            es:Sinergia

            属: Sinergia

            
            

            This page was moved from wikipedia:en:Synergetics (Haken). Its edit history can be viewed at 协同学/edithistory