scholarly journals Straightforward quantum-mechanical derivation of the Crooks fluctuation theorem and the Jarzynski equality

2012 ◽  
Vol 86 (1) ◽  
Author(s):  
Doron Cohen ◽  
Yoseph Imry
Keyword(s):  
Fluctuation Theorem ◽  
Quantum Mechanical ◽  
Jarzynski Equality ◽  
Crooks Fluctuation Theorem

scholarly journals Quantum fluctuation relations

2017 ◽  
Vol 14 (08) ◽  
pp. 1740002 ◽  
Author(s):  
Paolo Facchi ◽  
Giancarlo Garnero ◽  
Marilena Ligabò
Keyword(s):  
Quantum Fluctuation ◽  
Classical Case ◽  
Fluctuation Theorem ◽  
Fluctuation Relations ◽  
Lecture Notes ◽  
Jarzynski Equality ◽  
Crooks Fluctuation Theorem

We present here a set of lecture notes on exact fluctuation relations. We prove the Jarzynski equality and the Crooks fluctuation theorem, two paradigmatic examples of classical fluctuation relations. Finally, we consider their quantum versions, and analyze analogies and differences with the classical case.

scholarly journals Flaw in Crooks Fluctuation Theorem

2018 ◽  
pp. 13-20
Author(s):  
Gokaran Shukla
Keyword(s):  
Finite Temperature ◽  
Second Law Of Thermodynamics ◽  
Microscopic Level ◽  
Fluctuation Theorem ◽  
Second Law ◽  
Length Scale ◽  
Short Time Period ◽  
Time Period ◽  
Short Time ◽  
Crooks Fluctuation Theorem

The existence of Crooks fluctuation theorem (even at microscopic level, in a very short time period) is a direct threat to the second law of thermodynamics. In this paper, we will underline the flaw that exists in Crooks fluctuation theorem assumptions, and thus, we will confirm the validity of the second law of thermodynamics at any temperature, pressure, and at any scale (time, and length-scale) in nature. We will validate the Loschmidts paradox, and will show that no physical directional-process can be perfectly-reversible at any non-zero, finite temperature (T>0 K) and pressure (P>0) in nature.

Improved predictions of rare events using the Crooks fluctuation theorem

2014 ◽  
Vol 89 (3) ◽  
Author(s):  
Julia Gundermann ◽  
Stefan Siegert ◽  
Holger Kantz
Keyword(s):  
Rare Events ◽  
Fluctuation Theorem ◽  
Crooks Fluctuation Theorem

Nonequilibrium Umbrella Sampling and the Functional Crooks Fluctuation Theorem

2011 ◽  
Vol 145 (4) ◽  
pp. 831-840 ◽  
Author(s):  
Stephen R. Williams ◽  
Denis J. Evans ◽  
Debra J. Searles
Keyword(s):  
Umbrella Sampling ◽  
Fluctuation Theorem ◽  
Crooks Fluctuation Theorem
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