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Theory of Thermodynamic Measurements of Quantum Systems Far from Equilibrium

Theory of Thermodynamic Measurements of Quantum Systems Far from Equilibrium

Abhay Shastry

 

106,99 EUR
Lieferzeit 12-13 Tage



106,99 EUR
Lieferzeit 12-13 Tage



Produktinformation
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Übersicht


Verlag : Springer International Publishing
Buchreihe : Springer Theses
Sprache : Englisch
Erschienen : 09. 12. 2019
Einband : Gebunden
Höhe : 235 mm
Breite : 155 mm
ISBN : 9783030335731
Sprache : Englisch

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Stichworte aus dem enthaltenen Werk


Stichworte im VLB : nonequilibrium quantum thermodynamics, Onsager matrix, second law of thermodynamics, local entropy in quantum system, temperature in quantum system, voltage in quantum system, scanning probe microscopy, temperature outside equilibrium


Produktinformation


This thesis presents several related advances in the field of nonequilibrium quantum thermodynamics. The central result is an ingenious proof that the local temperature and voltage measurement in a nonequilibrium system of fermions exists and is unique, placing the concept of local temperature on a rigorous mathematical footing for the first time. As an intermediate step, a proof of the positivity of the Onsager matrix of linear response theory is given -- a statement of the second law of thermodynamics that had lacked an independent proof for 85 years. A new experimental method to measure the local temperature of an electron system using purely electrical techniques is also proposed, which could enable improvements to the spatial resolution of thermometry by several orders of magnitude. Finally, a new mathematically-exact definition for the local entropy of a quantum system in a nonequilibrium steady state is derived. Several different measures of the local entropy are discussed, relating to the thermodynamics of processes that a local observer with varying degrees of information about the microstates of the system could carry out, and it is shown that they satisfy a hierarchy of inequalities. Proofs of the third law of thermodynamics for generic open quantum systems are presented, taking into account the entropic contribution due to localized states. Appropriately normalized (per-state) local entropies are defined and are used to quantify the departure from local equilibrium.

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Buchhandlung LeseLust
Inh. Gernod Siering

Georgenstraße 2
99817 Eisenach

03691/733822
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Montag-Freitag 9-17 Uhr
Sonnabend 10-14 Uhr



Deine Buchhandlung
Buchhandlung LeseLust
Inh. Gernod Siering

Georgenstraße 2
99817 Eisenach

03691/733822
kontakt@leselust-eisenach.de

Montag-Freitag 9-17 Uhr
Sonnabend 10-14 Uhr