Reversible and irreversible processes Physics 110 -- Entropy 28 - PowerPoint PPT Presentation

Reversible and irreversible processes Physics 110 -- Entropy 28 September 2011

Isolated systems thermal reservoir • may exchange heat • temperature does not change battery • reversibly stores work engine • may exchange heat or work • operates in a cycle ideal gas • may exchange heat or work

Heat flow warmer warmer q q colder colder possible impossible Second Law of Thermodynamics (Clausius) No process can have as its sole result the transfer of heat from a colder system to a warmer system.

Heat flow same warmer warmer q q q same colder colder possible possible impossible irreversible reversible Second Law of Thermodynamics (Clausius) No process can have as its sole result the transfer of heat from a colder system to a warmer system.

Work and heat q q w w q = w q = w possible ????

Work and heat warmer q possible w q = w impossible q colder Overall process violates the Second Law!

Work and heat q q w w q = w q = w possible impossible irreversible

Expansion of an ideal gas free expansion isothermal expansion ∆E = 0 Q = 0 q = w W = 0 q ∆ E = 0 ∆ T = 0 w possible possible reversible We can also perform isothermal compression.

Free compression? free compression Step 1: isothermal expansion colder Q = 0 q W = 0 w ∆ E = 0 ∆ T = 0 q ???? warmer Note that the gas has expanded.

Free compression? free compression Step 2: free compression colder Q = 0 W = 0 ∆ E = 0 ∆ T = 0 impossible warmer Overall process violates the Second Law!

Expansion of an ideal gas free expansion isothermal expansion ∆E = 0 Q = 0 W = 0 q = w ∆ E = 0 q ∆ T = 0 w possible irreversible possible reversible We can also perform isothermal compression.

Heat engines perfect heat engine general heat engine warmer q-q'=w q q w w q' impossible colder possible* *provided waste heat q' is not too small

Refrigerators perfect refrigerator general refrigerator warmer warmer q q w q=w+q' q q' colder colder impossible possible* *provided work input w is not too small

End review

Reversible and irreversible processes Physics 110 -- Entropy 28 - PowerPoint PPT Presentation

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Reversible and irreversible processes Physics 110 -- Entropy 28 - PowerPoint PPT Presentation

Reversible and irreversible processes Physics 110 -- Entropy 28 September 2011 Isolated systems thermal reservoir may exchange heat temperature does not change battery reversibly stores work engine may exchange heat or work

Universality Issues in Reversible Computing Systems and Cellular Automata Kenichi Morita

Reversible Computation and Reversible Programming Languages Tetsuo Yokoyama Graduate School of

Electric network for non-reversible Markov chains joint with Aron Folly M arton Bal

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Reversible calculus Ioana Cristescu 22 June 2012 Ioana Cristescu Reversible calculus

Toward a Curry-Howard Correspondence for Linear, Reversible Computation Reversible Computation

Coding Theorems for Reversible Embedding Frans Willems and Ton Kalker T.U. Eindhoven, Philips

On the inverse of reversible CA Jarkko Kari University of Iowa, USA, and University of Turku,

CSC321 Lecture 20: Reversible and Autoregressive Models Roger Grosse Roger Grosse CSC321

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Search-based Transformation Synthesis for 3-valued Reversible Circuits D. Michael Miller* and

Reversible Digital Watermarking Chang-Tsun Li Department of Computer Science University of

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Second Order Predicting- Error Sorting for Reversible Data Hiding Jiajia Xu, Hang Zhou, Weiming

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