非平衡热力学中，熵产生率如何量化不可逆过程的「耗散」强度？
In non-equilibrium thermodynamics, how does the entropy production rate quantify the dissipation strength of irreversible processes?
在线性不可逆区，广义流 J 与广义力 X 满足昂萨格倒易关系 J = L X，熵产生率 σ = Σ J_i X_i ≥ 0 恒为非负。摩擦、热传导、扩散等过程都对应正的熵产生，其大小直接度量能量品质的退化速率。
In the linear irreversible regime, generalized fluxes J and forces X obey Onsager reciprocity J = L X, and the entropy production rate σ = Σ J_i X_i ≥ 0 is always non-negative. Friction, heat conduction, and diffusion each contribute positive entropy production, whose magnitude measures the rate of energy-quality degradation.
难度 专业 · 适合 高中(15-18)
CC BY 4.0 · 已核验 · Verified 2026-11-03
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Onsager, Phys. Rev. 37, 405 (1931)（不可逆过程倒易关系）；de Groot & Mazur, Non-Equilibrium Thermodynamics (1962)
L. Onsager, Phys. Rev. 37, 405 (1931) (reciprocal relations); S. R. de Groot & P. Mazur, Non-Equilibrium Thermodynamics (1962)
独立核验依据 · Independent verification: 核验依据 1 OPENLIBRARY 标识 /works/OL5358157W：Non-equilibrium thermod
#熵产生 #非平衡热力学 #昂萨格关系 #耗散
泽贝克效应如何实现将温度差直接转换为电压，可用于哪些能源场景？
How does the Seebeck effect convert a temperature difference directly into voltage, and what energy applications does it enable?
在两种不同导体构成的回路中，温度差引起载流子因扩散能力不同而在一端聚集，形成与温差成正比的开路电压 V = S ΔT，S 为泽贝克系数。该效应可用于废热发电、深空探测器（如放射性同位素热电发生器）与固态制冷。
In a circuit of two different conductors, a temperature difference causes carriers to accumulate at one end due to differing diffusion, producing an open-circuit voltage V = S ΔT proportional to the gradient, where S is the Seebeck coefficient. It enables waste-heat recovery, space probes (radioisotope thermoelectric generators), and solid-state cooling.
难度 进阶 · 适合 初中(12-15)
CC BY 4.0 · 已核验 · Verified 2026-11-04
来源 · Source
Goldsmid, Introduction to Thermoelectricity（Springer, 2010）；Seebeck 原始报道 Abh. Königl. Akad. Wiss. Berlin (1822–23)
H. J. Goldsmid, Introduction to Thermoelectricity (Springer, 2010); Seebeck original: Abh. Königl. Akad. Wiss. Berlin (1822–23)
独立核验依据 · Independent verification: 核验依据 1 Crossref DOI 10.1007/978-3-642-00716-3（本条出处含多部著作，按段登记，核到
#泽贝克效应 #热电 #废热发电 #温差电压
吉布斯自由能如何判断恒温恒压条件下的化学反应或相变方向？
How does Gibbs free energy determine the direction of a chemical reaction or phase transition at constant temperature and pressure?
在恒温恒压下，系统自发演化的方向使吉布斯自由能 G = H - TS 减小，平衡时达到极小。若 ΔG < 0 过程自发，ΔG = 0 达平衡，ΔG > 0 需外界做功，因而 G 是恒温恒压下判断方向与稳定性的判据。
At constant temperature and pressure, a system spontaneously evolves to reduce the Gibbs free energy G = H - TS, reaching a minimum at equilibrium. A process is spontaneous if ΔG < 0, at equilibrium if ΔG = 0, and requires work if ΔG > 0, making G the criterion for direction and stability under these conditions.
难度 进阶 · 适合 高中(15-18)
CC BY 4.0 · 来源待核验 · Source pending review
来源 · Source
出处备注：此条未指向带版次的可引用著作（通识性内容、机构文件或未展开的英文书名），本库不提供独立书目出处；如需精确引用，需由编辑补全具体篇目与版次。
Gibbs, Trans. Conn. Acad. Arts Sci. 3, 108 (1876)（异相物质平衡）
J. W. Gibbs, Trans. Conn. Acad. Arts Sci. 3, 108 (1876) (equilibrium of heterogeneous substances)
#吉布斯自由能 #相平衡 #自发过程 #焓熵
现代火力与核电站普遍采用朗肯循环，它由哪几个基本过程构成？
Modern fossil and nuclear power plants widely use the Rankine cycle; what basic processes does it consist of?
朗肯循环包括四步：给水泵将水加压（绝热压缩）、锅炉中定压汽化吸热、汽轮机内绝热膨胀做功、冷凝器定压放热凝结。它是蒸汽动力装置的基本理想循环，实际效率受限于卡诺上限与各项不可逆损失。
The Rankine cycle has four steps: adiabatic compression by a feed pump, isobaric vaporization and heat addition in a boiler, adiabatic expansion doing work in a turbine, and isobaric condensation rejecting heat. It is the basic ideal cycle of steam power plants, with real efficiency limited by the Carnot ceiling and irreversibilities.
难度 进阶 · 适合 大众
CC BY 4.0 · 来源待核验 · Source pending review
来源 · Source
出处备注：此条未指向带版次的可引用著作（通识性内容、机构文件或未展开的英文书名），本库不提供独立书目出处；如需精确引用，需由编辑补全具体篇目与版次。
Rankine, Philos. Mag. 12, 339 (1856)（蒸汽机热力学理论）
W. J. M. Rankine, Philos. Mag. 12, 339 (1856) (thermodynamic theory of steam engines)
#朗肯循环 #蒸汽动力 #汽轮机 #冷凝器
「麦克斯韦妖」思想实验如何引出了信息与热力学熵之间的深刻联系？
How does the Maxwell's demon thought experiment reveal a deep link between information and thermodynamic entropy?
麦克斯韦妖通过掌握分子速度信息来分类快慢分子，看似能违背熵增。但将该「妖」与其记忆视为系统一部分后，擦除信息所需的最小功由兰道尔原理限定为 k_B T ln2 每位，证明信息获取与熵之间不可分离。
Maxwell's demon appears to violate entropy increase by using knowledge of molecular speeds to sort fast and slow molecules. But treating the demon and its memory as part of the system, Landauer's principle requires at least k_B T ln2 of work per bit erased, proving information and entropy are inseparable.
难度 进阶 · 适合 高中(15-18)
CC BY 4.0 · 已核验 · Verified 2026-11-04
来源 · Source
Landauer,《Irreversibility and Heat Generation in the Computing Process》,IBM Journal of Research and Development,1961 (DOI: 10.1147/rd.53.0183)
R. Landauer, 'Irreversibility and Heat Generation in the Computing Process', IBM Journal of Research and Development, 1961, DOI: 10.1147/rd.53.0183
独立核验依据 · Independent verification: 核验依据 1 Crossref DOI 10.1147/rd.53.0183
#麦克斯韦妖 #信息熵 #兰道尔原理 #擦除
卡诺定理为何规定所有热机效率都不可能超过 1 - T_c/T_h？
Why does Carnot's theorem state no heat engine can exceed an efficiency of 1 - T_c/T_h?
卡诺定理基于热力学第二定律：不可能从单一热源取热完全变成功而不产生其他影响。在两热源 T_h、T_c 间可逆卡诺循环达到最高效率 η = 1 - T_c/T_h，任何实际（不可逆）热机都更低。
Carnot's theorem follows from the second law: no engine can convert heat from a single reservoir entirely into work without other effects. A reversible Carnot cycle between T_h and T_c reaches the maximum η = 1 - T_c/T_h, and any real irreversible engine is lower.
难度 进阶 · 适合 初中(12-15)
CC BY 4.0 · 已核验 · Verified 2026-11-03
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Fermi, Thermodynamics（Dover, 1937）；Carnot, Réflexions sur la puissance motrice du feu (1824)
E. Fermi, Thermodynamics (Dover, 1937); S. Carnot, Réflexions sur la puissance motrice du feu (1824)
独立核验依据 · Independent verification: 核验依据 1 OPENLIBRARY 标识 /works/OL5260822W：Réflexions sur la puiss
#卡诺定理 #热机效率 #热力学第二定律 #可逆循环
热力学第二定律中熵增原理描述了孤立系统的何种不可逆趋势？
What irreversible trend of an isolated system does the entropy-increase principle describe in the second law?
熵增原理指出孤立系统的总熵永不减少，宏观过程自发地由低概率有序态走向高概率无序态，直至热平衡时熵最大。这定量刻画了时间的单向性与不可逆过程的方向。
The entropy-increase principle states the total entropy of an isolated system never decreases; macroscopic processes spontaneously evolve from ordered low-probability states to disordered high-probability ones until entropy is maximized at equilibrium. It quantifies the arrow of time and direction of irreversible processes.
难度 进阶 · 适合 大众
CC BY 4.0 · 已核验 · Verified 2026-10-03 · 2 条独立证据
来源 · Source
《费曼物理学讲义》第1卷（热力学）
The Feynman Lectures on Physics vol.1 (thermodynamics)
独立核验依据 · Independent verification: 核验依据 2 ISBN 978-0-7382-0298-3 (2006 Pearson 版，原始版为1963-65 Addis
#熵增原理 #热力学第二定律 #不可逆 #热平衡
为什么打开冰箱门给屋子降温没用?空调又是怎么做到的?
Why can't an open fridge cool a room — but air conditioners can?
冰箱把箱内的热搬到背面散进屋里,顺便还把耗的电也变成热排出来。开着门,搬出来的热和吸走的热都在同一个房间,加上电的热量,屋子反而更热。空调的高明在于把室内热搬到室外去释放,内外分开,所以能真正降温。位置决定成败:热的出口必须在你想凉快的区域之外。
A fridge dumps heat from its box out its back coils into the same room, plus wastes electricity as extra heat — door open, both sides share one space so the room warms. Air conditioners win by moving indoor heat outside for release: separation is everything. Heat must exit the zone you want cool.
难度 进阶 · 适合 小学高段(9-12)
CC BY 4.0 · 已核验 · Verified 2026-10-03 · 2 条独立证据
来源 · Source
《十万个为什么》第六版物理分册,少年儿童出版社,2013
Ten Thousand Whys: Physics volume, 6th ed., Juvenile and Children Publishing House, 2013
独立核验依据 · Independent verification: 核验依据 1 ISBN 978-7-5324-9328-9 · 核验依据 2 ISBN 9787532493289
#热力学第二定律 #空调原理 #能量守恒