scholarly journals Thermodynamics of Markov processes with nonextensive entropy and free energy

2020 ◽  
Vol 101 (2) ◽  
Author(s):  
Liangrong Peng ◽  
Hong Qian ◽  
Liu Hong
Keyword(s):  
Free Energy ◽  
Markov Processes ◽  
Nonextensive Entropy

scholarly journals A Second Law for Open Markov Processes

2016 ◽  
Vol 23 (01) ◽  
pp. 1650006 ◽  
Author(s):  
Blake S. Pollard
Keyword(s):  
Free Energy ◽  
Markov Process ◽  
Markov Processes ◽  
Relative Entropy ◽  
Upper Bound ◽  
Equilibrium Distribution ◽  
Detailed Balance ◽  
Rate Of Change ◽  
Second Law ◽  
Boundary States

In this paper we define the notion of an open Markov process. An open Markov process is a generalization of an ordinary Markov process in which populations are allowed to flow in and out of the system at certain boundary states. We show that the rate of change of relative entropy in an open Markov process is less than or equal to the flow of relative entropy through its boundary states. This can be viewed as a generalization of the Second Law for open Markov processes. In the case of a Markov process whose equilibrium obeys detailed balance, this inequality puts an upper bound on the rate of change of the free energy for any non-equilibrium distribution.

Encultured minds, not error reduction minds

2020 ◽  
Vol 43 ◽  
Author(s):  
Robert Mirski ◽  
Mark H. Bickhard ◽  
David Eck ◽  
Arkadiusz Gut
Keyword(s):  
Free Energy ◽  
Error Reduction ◽  
Energy Principle ◽  
Free Energy Principle ◽  
Current Article

Abstract There are serious theoretical problems with the free-energy principle model, which are shown in the current article. We discuss the proposed model's inability to account for culturally emergent normativities, and point out the foundational issues that we claim this inability stems from.

On the free energy of a ferromagnet : anisotropy and rotation

1987 ◽  
Vol 48 (2) ◽  
pp. 169-171 ◽  
Author(s):  
G. Aubert ◽  
E. du Tremolet de Lacheisserie
Keyword(s):  
Free Energy

Smectic A-Smectic B interface : faceting and surface free energy measurement

1989 ◽  
Vol 50 (24) ◽  
pp. 3527-3534 ◽  
Author(s):  
P. Oswald ◽  
F. Melo ◽  
C. Germain
Keyword(s):  
Free Energy ◽  
Surface Free Energy ◽  
Energy Measurement ◽  
Smectic A

ON THE FREE ENERGY OF VORTICES IN ROTATING He II

1978 ◽  
Vol 39 (C6) ◽  
pp. C6-222-C6-223
Author(s):  
L. J. Campbell ◽  
R. Ziff
Keyword(s):  
Free Energy
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