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.


协同学是一门跨学科的科学，以远离热力学平衡态的开放系统中斑图及结构的自组织及其形成为研究对象。由赫尔曼 · 哈肯受激光理论的启发而创立。哈肯将激光原理解释为非平衡系统的自我组织，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.


许多非线性相互作用的子系统构成的“宏观”系统是自组织的前提条件。自组织基于外部控制参数（环境、能量通量）而发生。

Order-parameter concept

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。

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” ，认为快速释放(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。

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。这可能解释了物理、化学和生物学中许多不同系统中的自组织斑图。



"[...] 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

See also

参见










References

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.


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