The free energy of the three‐dimensional Zamolodchikov model

1986 ◽  
Vol 27 (11) ◽  
pp. 2774-2775
Author(s):  
M. L. Glasser
Keyword(s):  
Free Energy ◽  
Three Dimensional ◽  
Zamolodchikov Model

scholarly journals On the Kirchhoff-Love Hypothesis (Revised and Vindicated)

2021 ◽  
Author(s):  
Olivier Ozenda ◽  
Epifanio G. Virga
Keyword(s):  
Free Energy ◽  
Dimension Reduction ◽  
Three Dimensional ◽  
Energy Functional ◽  
The Other ◽  
Variational Model ◽  
Two Dimensional ◽  
Elastic Plates ◽  
Kinematic Constraint ◽  
Free Energy Functional

AbstractThe Kirchhoff-Love hypothesis expresses a kinematic constraint that is assumed to be valid for the deformations of a three-dimensional body when one of its dimensions is much smaller than the other two, as is the case for plates. This hypothesis has a long history checkered with the vicissitudes of life: even its paternity has been questioned, and recent rigorous dimension-reduction tools (based on standard $\varGamma $ Γ -convergence) have proven to be incompatible with it. We find that an appropriately revised version of the Kirchhoff-Love hypothesis is a valuable means to derive a two-dimensional variational model for elastic plates from a three-dimensional nonlinear free-energy functional. The bending energies thus obtained for a number of materials also show to contain measures of stretching of the plate’s mid surface (alongside the expected measures of bending). The incompatibility with standard $\varGamma $ Γ -convergence also appears to be removed in the cases where contact with that method and ours can be made.

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.

scholarly journals Multi-Funnel Landscape of the Fold-Switching Protein RfaH-CTD

2017 ◽  
Author(s):  
Nathan A. Bernhardt ◽  
Ulrich H.E. Hansmann
Keyword(s):  
Free Energy ◽  
Transcription Factor ◽  
Biological Function ◽  
Double Helix ◽  
Energy Landscape ◽  
Three Dimensional ◽  
Conversion Process ◽  
Free Energy Landscape ◽  
Enhanced Sampling ◽  
Helix Bundle

AbstractProteins such as the transcription factor RfaH can change biological function by switching between distinct three-dimensional folds. RfaH regulates transcription if the C-terminal domain folds into a double helix bundle, and promotes translation when this domain assumes a β-barrel form. This fold-switch has been also observed for the isolated domain, dubbed by us RfaH-CTD, and is studied here with a variant of the RET approach recently introduced by us. We use the enhanced sampling properties of this technique to map the free energy landscape of RfaH-CTD and to propose a mechanism for the conversion process.TOC Image

Extended high temperature low field expansions for the Ising model

1979 ◽  
Vol 57 (8) ◽  
pp. 1239-1245 ◽  
Author(s):  
S. McKenzie
Keyword(s):  
Free Energy ◽  
High Temperature ◽  
Ising Model ◽  
Three Dimensional ◽  
Low Field ◽  
Hypercubic Lattice

High temperature low field expansions are derived from the free energy of the Ising model for several two- and three-dimensional lattices. These represent a considerable advance on earlier work. Expansions for the four-dimensional hypercubic lattice are also presented.

A Modified Microplane Model Using Transformation Surfaces to Consider Loading History on Phase Transition in Shape Memory Alloys

2014 ◽  
Author(s):  
Milad Shirani ◽  
Reza Mehrabi ◽  
Masood Taheri Andani ◽  
Mahmoud Kadkhodaei ◽  
Mohammad Elahinia ◽  
...  
Keyword(s):  
Free Energy ◽  
Constitutive Model ◽  
Three Dimensional ◽  
Constitutive Models ◽  
Phenomenological Approach ◽  
Material Point ◽  
Loading History ◽  
Energy Potential ◽  
Microplane Model ◽  
Thermodynamic Driving Force

In most of the existing SMA constitutive models, it is assumed that transformation starts when a thermodynamic driving force reaches a specified amount regardless of loading history. In this work, a phenomenological approach is used to develop an enhanced one-dimensional constitutive model in which loading history is directly considered as one of the main parameters affecting the transformation start conditions. To generalize the model to three-dimensional cases, a microplane formulation based on volumetric-deviatoric is employed. A free energy potential is defined at the microplane level, integrated over all orientations at a material point to provide the macroscopic free energy. Experiments are carried out on Nitinol superelastic tubes to validate the newly proposed constitutive model. In these experiments, interruptions are applied during transformations to show the effects of loading history on transformation start conditions. Numerical results are compared with the experimental data to demonstrate the accuracy of the enhanced model.

Free energy surface of two- and three-dimensional transitions of Au 12 nanoclusters obtained byab initiometadynamics

2010 ◽  
Vol 81 (17) ◽  
Author(s):  
Gianluca Santarossa ◽  
Angelo Vargas ◽  
Marcella Iannuzzi ◽  
Alfons Baiker
Keyword(s):  
Free Energy ◽  
Energy Surface ◽  
Three Dimensional ◽  
Free Energy Surface

Calculation of free energy of three-dimensional uniaxial magnet in external field based on the higher non-Gaussian distribution

2009 ◽  
Author(s):  
I. V. Pylyuk ◽  
M. P. Kozlovskii ◽  
Yurij Holovatch ◽  
Bertrand Berche ◽  
Nikolai Bogolyubov ◽  
...  
Keyword(s):  
Free Energy ◽  
External Field ◽  
Gaussian Distribution ◽  
Three Dimensional ◽  
Non Gaussian
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