scholarly journals Reply to “Comment on ‘Inference with minimal Gibbs free energy in information field theory’ ”

2012 ◽  
Vol 85 (3) ◽  
Author(s):  
Torsten A. Enßlin ◽  
Cornelius Weig
Keyword(s):  
Field Theory ◽  
Free Energy ◽  
Gibbs Free Energy

scholarly journals Comment on “Inference with minimal Gibbs free energy in information field theory”

2012 ◽  
Vol 85 (3) ◽  
Author(s):  
D. Iatsenko ◽  
A. Stefanovska ◽  
P. V. E. McClintock
Keyword(s):  
Field Theory ◽  
Free Energy ◽  
Gibbs Free Energy

GIBBS FREE ENERGY OF A SYSTEM OF TWO HIGHLY CHARGED PLATES IMMERSED IN AN ELECTROLYTE

2005 ◽  
Vol 19 (20) ◽  
pp. 3217-3241 ◽  
Author(s):  
TADATOMI SHINOHARA ◽  
MARTIN V. SMALLEY ◽  
IKUO S. SOGAMI
Keyword(s):  
Field Theory ◽  
Boundary Condition ◽  
Free Energy ◽  
Gibbs Free Energy ◽  
Dirichlet Boundary ◽  
Mean Field Theory ◽  
Mean Field ◽  
Adiabatic Potential ◽  
Medium Range ◽  
Repulsive Part

The Gibbs free energy of two highly charged plates immersed in an electrolyte solution in a finite container is investigated using mean field theory. Adiabatic potential of the charged plates, which is derived from the Gibbs free energy, has a long-range weak attractive part and medium range strong repulsive part under the Dirichlet boundary condition. From comparison with the Helmholtz adiabatic potential, it is proved that the two adiabatic potentials have qualitatively the same structure of a repulsive component and an attractive component and that the Gibbs adiabatic potential shows the stronger attractive effect.

Chemical equilibrium and chemical kinetics

2018 ◽  
Author(s):  
Dennis Sherwood ◽  
Paul Dalby
Keyword(s):  
Free Energy ◽  
Equilibrium Constant ◽  
Gibbs Free Energy ◽  
Chemical Kinetics ◽  
Chemical Equilibrium ◽  
First Principles ◽  
Effect Of Temperature ◽  
Total System ◽  
Free Energies

Building on the previous chapter, this chapter examines gas phase chemical equilibrium, and the equilibrium constant. This chapter takes a rigorous, yet very clear, ‘first principles’ approach, expressing the total Gibbs free energy of a reaction mixture at any time as the sum of the instantaneous Gibbs free energies of each component, as expressed in terms of the extent-of-reaction. The equilibrium reaction mixture is then defined as the point at which the total system Gibbs free energy is a minimum, from which concepts such as the equilibrium constant emerge. The chapter also explores the temperature dependence of equilibrium, this being one example of Le Chatelier’s principle. Finally, the chapter links thermodynamics to chemical kinetics by showing how the equilibrium constant is the ratio of the forward and backward rate constants. We also introduce the Arrhenius equation, closing with a discussion of the overall effect of temperature on chemical equilibrium.

scholarly journals Boundary conditions in topological AdS4/CFT3

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Pietro Benetti Genolini ◽  
Matan Grinberg ◽  
Paul Richmond
Keyword(s):  
Field Theory ◽  
Free Energy ◽  
Boundary Conditions ◽  
Smooth Solution ◽  
Three Dimensional ◽  
Field Theories ◽  
Legendre Transformation ◽  
Generating Functional ◽  
Holographic Duals

Abstract We revisit the construction in four-dimensional gauged Spin(4) supergravity of the holographic duals to topologically twisted three-dimensional $$ \mathcal{N} $$ N = 4 field theories. Our focus in this paper is to highlight some subtleties related to preserving supersymmetry in AdS/CFT, namely the inclusion of finite counterterms and the necessity of a Legendre transformation to find the dual to the field theory generating functional. Studying the geometry of these supergravity solutions, we conclude that the gravitational free energy is indeed independent from the metric of the boundary, and it vanishes for any smooth solution.

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