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大小无更改 、 2021年2月21日 (日) 19:42
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In physics, self-organized criticality (SOC) is a property of dynamical systems that have a critical point as an attractor.  Their macroscopic behavior thus displays the spatial or temporal scale-invariance characteristic of the critical point of a phase transition, but without the need to tune control parameters to a precise value, because the system, effectively, tunes itself as it evolves towards criticality.
 
In physics, self-organized criticality (SOC) is a property of dynamical systems that have a critical point as an attractor.  Their macroscopic behavior thus displays the spatial or temporal scale-invariance characteristic of the critical point of a phase transition, but without the need to tune control parameters to a precise value, because the system, effectively, tunes itself as it evolves towards criticality.
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在物理学中,'''<font color="#ff8000"> 自组织临界性Self-organized criticality (SOC)</font>'''是动力系统的一种特性,动力系统有一个临界点作为'''<font color="#ff8000"> 吸引子Attractor</font>'''。它们的宏观行为因此显示了相变临界点的空间或时间尺度不变特性,但不需要把控制参数调整到一个精确的值,因为系统在趋向于临界状态时有效地自我调整。
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在物理学中,'''<font color="#ff8000"> 自组织临界性Self-organized criticality (SOC)</font>'''是动力系统的一种特性,动力系统有一个临界点作为'''<font color="#ff8000"> 吸引子Attractor</font>'''。它们在相变临界点的宏观行为因此显示了空间或时间尺度不变特性,但不需要把控制参数调整到一个精确的值,因为系统有效地自我调整趋向于临界状态。
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published in 1987 in Physical Review Letters, and is considered to be one of the mechanisms by which complexity<ref name=Bak1995>
 
published in 1987 in Physical Review Letters, and is considered to be one of the mechanisms by which complexity<ref name=Bak1995>
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1987年发表在《物理评论快报》上,被认为是复杂性的机制之一
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1987年发表在《物理评论快报》上,被认为是复杂性在自然界出现的机制之一
    
{{cite journal
 
{{cite journal
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|bibcode = 1995PNAS...92.6689B }}</ref> arises in nature.  Its concepts have been applied across fields as diverse as geophysics,<ref name=SmalleyTurcotteSolla85>
 
|bibcode = 1995PNAS...92.6689B }}</ref> arises in nature.  Its concepts have been applied across fields as diverse as geophysics,<ref name=SmalleyTurcotteSolla85>
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| bibcode 1995PNAS... 92.6689 b } / ref 在自然界中出现。它的概念已经被应用于各个领域,比如地球物理学,参考名称 smalleyturcottesolla85
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| bibcode 1995PNAS... 92.6689 b } / ref 它的概念已经被应用于各个领域,比如地球物理学,参考名称 smalleyturcottesolla85
    
{{cite journal
 
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SOC is typically observed in slowly driven non-equilibrium systems with many degrees of freedom and strongly nonlinear dynamics.  Many individual examples have been identified since BTW's original paper, but to date there is no known set of general characteristics that guarantee a system will display SOC.
 
SOC is typically observed in slowly driven non-equilibrium systems with many degrees of freedom and strongly nonlinear dynamics.  Many individual examples have been identified since BTW's original paper, but to date there is no known set of general characteristics that guarantee a system will display SOC.
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'''<font color="#ff8000"> SOC</font>'''是典型的多自由度、强非线性动力学的缓慢驱动非平衡系统。自从 BTW 的原始论文以来,已经确定了许多单独的例子,但是到目前为止还没有一组已知的一般特征来保证一个系统将显示 '''<font color="#ff8000"> SOC</font>'''。
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'''<font color="#ff8000"> SOC</font>'''通常在多自由度、强非线性动力学的缓慢驱动非平衡系统中被观察到。自从 BTW 的原始论文以来,已经确定了许多单独的例子,但是到目前为止还没有一组已知的一般特征来保证一个系统将显示 '''<font color="#ff8000"> SOC</font>'''。
     
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