复杂性驱动温度涨落的对称性破缺
Complexity drives the symmetry breaking of temperature fluctuations
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中文总结 AI 辅助
本研究通过$q$-指数函数级数展开描述近平衡非广延系统，发现温度涨落随非广延参数增大从对称变为非对称，揭示了复杂性驱动温度涨落对称性破缺的机制。
中文摘要 AI 辅助
通常，非广延系统通过$q$-指数函数来描述，其中$q$参数决定系统偏离平衡态的程度。在本工作中，我们研究受限于$q-1\ll1$的系统，以描述接近热平衡的系统，并推导出概率密度函数和温度涨落。为此，我们推导了$q$-指数函数的级数展开，得到一个由伽马分布叠加而成的微扰级数。另一方面，温度涨落被表示为狄拉克δ函数及其导数的叠加，这意味着系统主体保持恒定温度，而点温度变化出现，标志着系统偏离热平衡。随着非广延参数的增加，温度涨落的统计呈现出从对称分布到非对称分布的转变。这些结果为非广延性的出现与温度涨落对称性破缺之间的关联提供了证据。
英文摘要
Frequently, nonextensive systems are described through $q$-exponential functions, where the $q$-parameter determines how far a system is from equilibrium. In this work, we study systems constrained to $q-1\ll1$ to describe systems near thermal equilibrium, and derive the probability density function and temperature fluctuations. To this end, we derive the series expansion of the $q$-exponential function, yielding a perturbative series that is a superposition of gamma distributions. On the other hand, the temperature fluctuations are expressed as a superposition of Dirac delta functions and their derivatives, meaning that the bulk of the system remains at a constant temperature, while point-temperature variations emerge, marking the system's departure from thermal equilibrium. The statistics of the temperature fluctuations exhibit a transition from a symmetric to a nonsymmetric distribution as the nonextensive parameter increases. These results provide evidence of the association between the emergence of nonextensivity and the symmetry breaking of temperature fluctuations.
发表机构
- Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla（普埃布拉自治大学物理数学科学学院）
机构由 AI 辅助整理，请以论文原文为准。
