Non-Equilibrium Thermodynamics of Superfluid Helium and Quantum Turbulence: The Richness of Non-Fourier Heat Transport
暫譯: 超流氦與量子湍流的非平衡熱力學：非傅立葉熱傳輸的豐富性
Mongiovì, Maria Stella, Jou, David, Sciacca, Michele
- 出版商: Springer
- 出版日期: 2025-06-16
- 售價: $3,670
- 貴賓價: 9.5 折 $3,487
- 語言: 英文
- 頁數: 257
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031851471
- ISBN-13: 9783031851476
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相關分類:
熱力學 Thermodynamics、量子 Quantum
尚未上市，無法訂購
相關主題
商品描述
This book puts together non-equilibrium thermodynamics, heat transport properties of superfluid He II, and thermodynamic and dynamic aspects of quantum turbulence. A one-fluid extended model of superfluid helium, with heat flux as an additional independent variable, is presented and compared with the two-fluid model, to explore how both models complement each other. Important features arise in rotating situations and in superfluid turbulence, characterized by quantized vortices leading to strong nonlinearities between heat flux and temperature gradient. The dynamics of vortex lines and their interaction with heat dynamics, a central topic in superfluid turbulence, is dealt with by introducing the vortex line density as an independent variable and writing its dynamical equations, considering the transitions from laminar to turbulent flows and from diffusive to ballistic regimes. Classical and quantum turbulence are compared from a mesoscopic view and from their energy spectra.
The work also explores some parallelisms of quantum vortex thermodynamics with cosmic string thermodynamics and black-hole thermodynamics, exhibiting duality connections amongst them. It emphasizes didactical views over specialistic details, and may be used as an introduction to nonequilibrium thermodynamics of superfluid helium and its heat transport properties (second sound, nonlocal transport, nonlinear connections with quantum turbulence).
The book is useful to researchers in superfluid helium, in heat transport, and in thermodynamics of cosmic strings and black holes. The diversity and complexity of its several physical equations will be inspiring for researchers in mathematical physics.
商品描述(中文翻譯)
這本書將非平衡熱力學、超流體 He II 的熱傳導特性以及量子湍流的熱力學和動態方面結合在一起。書中提出了一個擴展的一流超流體氦模型，將熱通量作為一個額外的獨立變數，並與雙流體模型進行比較，以探討這兩個模型如何相輔相成。在旋轉情況和超流體湍流中出現了重要特徵，這些特徵以量子化渦旋為特徵，導致熱通量與溫度梯度之間的強非線性關係。渦旋線的動態及其與熱動力學的相互作用是超流體湍流中的一個核心主題，通過引入渦旋線密度作為獨立變數並撰寫其動態方程來處理，考慮從層流到湍流以及從擴散到彈道流的轉變。從介觀的角度以及它們的能量譜來比較經典湍流和量子湍流。
本書還探討了量子渦旋熱力學與宇宙弦熱力學和黑洞熱力學之間的一些平行性，展示了它們之間的對偶關聯。它強調教學觀點而非專業細節，並可作為超流體氦的非平衡熱力學及其熱傳導特性（第二聲音、非局部傳輸、與量子湍流的非線性關聯）的入門書。
本書對於超流體氦、熱傳導以及宇宙弦和黑洞的熱力學研究者非常有用。其多樣性和複雜性的多個物理方程將激勵數學物理領域的研究者。
作者簡介
David Jou has been professor of Condensed Matter Physics at the Autonomous University of Barcelona, Spain for forty years. His research interests deal with non-equilibrium thermodynamics and statistical physics, heat transport, superfluids, and nanosystems. He has published five research monographs, three hundred specialized papers, and eight scientific essays for the general public.
Maria Stella Mongiovì was professor of Mathematical Analysis, Theoretical Mechanics and Mathematical Physics at the University of Palermo, Italy. Her research interests deal with non-equilibrium thermodynamics (rational and irreversible) with application to superfluids and other complex systems. She has published two hundred research papers and books, and several teaching contributions.
Michele Sciacca is professor of Mathematical Analysis, Theoretical Mechanics and Mathematical Physics at the University of Palermo, Italy. His research interests deal with non-equilibrium thermodynamics applied to heat transport, superfluids and nanosystems; complete integrability of Partial Differential Equations; research of exact solutions in PDEs and in particular, travelling waves and solitons in complex systems.
作者簡介(中文翻譯)
大衛·喬（David Jou）在西班牙巴塞隆納自治大學擔任凝聚態物理教授已有四十年。他的研究興趣包括非平衡熱力學和統計物理、熱傳輸、超流體以及納米系統。他已發表五本研究專著、三百篇專業論文，以及八篇面向大眾的科學隨筆。
瑪麗亞·斯特拉·蒙喬維（Maria Stella Mongiovì）曾任意大利巴勒莫大學的數學分析、理論力學和數學物理教授。她的研究興趣集中在非平衡熱力學（理性和不可逆）及其在超流體和其他複雜系統中的應用。她已發表兩百篇研究論文和書籍，以及幾篇教學貢獻。
米凱萊·西亞卡（Michele Sciacca）是意大利巴勒莫大學的數學分析、理論力學和數學物理教授。他的研究興趣包括應用於熱傳輸、超流體和納米系統的非平衡熱力學；偏微分方程的完全可積性；以及在偏微分方程中尋找精確解，特別是複雜系統中的行波和孤立子。
