scholarly journals The One‐Dimensional Log‐Gas Free Energy Has a Unique Minimizer

2021 ◽  
Vol 74 (3) ◽  
pp. 615-675
Author(s):  
Matthias Erbar ◽  
Martin Huesmann ◽  
Thomas Leblé
Keyword(s):  
Free Energy ◽  
Unique Minimizer ◽  
One Dimensional ◽  
The One

Thermal Properties of the One-Dimensional Duffin–Kemmer–Petiau Oscillator Using Hurwitz Zeta Function

2015 ◽  
Vol 70 (10) ◽  
pp. 867-874 ◽  
Author(s):  
Abdelamelk Boumali
Keyword(s):  
Free Energy ◽  
Thermal Properties ◽  
Zeta Function ◽  
Function Method ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Hurwitz Zeta Function ◽  
Expectation Value ◽  
One Dimensional ◽  
The One

AbstractIn this paper, we investigated the thermodynamics properties of the one-dimensional Duffin–Kemmer–Petiau oscillator by using the Hurwitz zeta function method. In particular, we calculated the following main thermal quantities: the free energy, the total energy, the entropy, and the specific heat. The Hurwitz zeta function allowed us to compute the vacuum expectation value of the energy of our oscillator.

scholarly journals Renormalization Group Approach to a One-Dimensional Cooperative T–e Jahn-Teller System

1977 ◽  
Vol 32 (1) ◽  
pp. 111-112
Author(s):  
S. Brühl ◽  
E. Sigmund
Keyword(s):  
Free Energy ◽  
Renormalization Group ◽  
Ising Model ◽  
Linear Chain ◽  
Group Approach ◽  
One Dimensional ◽  
Renormalization Group Approach ◽  
Jahn Teller ◽  
Jahn Teller Effect ◽  
The One

Abstract A linear chain of T-e molecules exhibiting the cooperative Jahn-Teller effect is considered. Following Nauenberg's1 treatment of the one-dimensional Ising model a renormalization group approach is used. The series-expansion of the free energy is put into a closed form.

Mesoscopic free energy as a framework for modeling shape memory alloys

2019 ◽  
Vol 30 (13) ◽  
pp. 1969-2012
Author(s):  
Wesley Ballew ◽  
Stefan Seelecke
Keyword(s):  
Free Energy ◽  
Shape Memory ◽  
Latent Heat ◽  
Compressive Behavior ◽  
Temperature Dependent ◽  
One Dimensional ◽  
Dimensional Shape ◽  
The Difference ◽  
The One

This article presents a reinterpretation of the one-dimensional shape memory alloy model by Müller, Achenbach, and Seelecke (M-A-S) that offers extended capabilities and a simpler formulation. The cornerstone of this model is a continuous, multi-well free energy that governs phase change at a mesoscopic material scale. The free energy has been reformulated to allow asymmetric tensile and compressive behavior as well as temperature-dependent hysteresis while maintaining the necessary smoothness conditions. The free energy is then used to derive expressions for latent heat coefficients that include the influence of stress, the difference in stiffness between the phases, and irreversibility. Special attention is devoted to the role of irreversibility and latent heat predictions, which are compared to experimental measurements. The new model also includes an updated set of kinetics equations that operate on the convexity of the energy wells instead of the height of the energy barriers. This modification eliminates several sets of equations from the overall formulation without any compromises in performance and also bypasses limitations of the barrier-based equations.

Thermodynamics Properties of One-Dimensional Z3 Quantum Potts Chain

1997 ◽  
Vol 11 (18) ◽  
pp. 785-793
Author(s):  
M. E. Fouladvand ◽  
A. S. Khorashad
Keyword(s):  
Free Energy ◽  
Thermodynamic Properties ◽  
Integral Representation ◽  
Two Dimensional ◽  
Double Chain ◽  
One Dimensional ◽  
Path Integral Representation ◽  
The One ◽  
Chain Approximation ◽  
Potts Chain

The method of Discretized Path Integral Representation (DPIR) is used to convert the one-dimensional quantum Z3 Potts chain into a two-dimensional classical Interaction-Round a Face (IRF) model. Then we use the Double-Chain approximation to obtain the free energy and thermodynamic properties of the model.

VARIATIONAL PRINCIPLE FOR NON-EQUILIBRIUM STEADY STATES OF THE XX MODEL

2003 ◽  
Vol 15 (08) ◽  
pp. 905-923 ◽  
Author(s):  
TAKU MATSUI ◽  
YOSHIKO OGATA
Keyword(s):  
Dynamical System ◽  
Free Energy ◽  
Variational Principle ◽  
Steady States ◽  
Range Interaction ◽  
One Dimensional ◽  
Long Range Interaction ◽  
The One ◽  
Xx Model ◽  
Non Equilibrium

We show that non-equilibrium steady states of the one-dimensional exactly-solved XX model can be characterized by the variational principle of free energy of a long range interaction and that they cannot be a KMS state for any C*-dynamical system of the UHF algebra.

scholarly journals Effects of sulfonic group and fluorine on free energy profile of proton confined in the one-dimensional proton conductive channel

2017 ◽  
Vol 142 ◽  
pp. 1166-1171
Author(s):  
Shaomin Chen ◽  
Yuechun Song ◽  
Boyun Yang ◽  
Jun Huo ◽  
Gaohong He ◽  
...  
Keyword(s):  
Free Energy ◽  
Energy Profile ◽  
Free Energy Profile ◽  
Sulfonic Group ◽  
One Dimensional ◽  
Conductive Channel ◽  
The One

Exploring the Multidimensional Facets of Authoritarianism: Authoritarian Aggression and Social Dominance Orientation

2008 ◽  
Vol 67 (1) ◽  
pp. 51-60 ◽  
Author(s):  
Stefano Passini
Keyword(s):  
Social Dominance ◽  
Factor Model ◽  
Three Dimensional ◽  
Social Dominance Orientation ◽  
Model Fit ◽  
Regression Analyses ◽  
One Dimensional ◽  
Confirmatory Factor ◽  
The One ◽  
Better Than

The relation between authoritarianism and social dominance orientation was analyzed, with authoritarianism measured using a three-dimensional scale. The implicit multidimensional structure (authoritarian submission, conventionalism, authoritarian aggression) of Altemeyer’s (1981, 1988) conceptualization of authoritarianism is inconsistent with its one-dimensional methodological operationalization. The dimensionality of authoritarianism was investigated using confirmatory factor analysis in a sample of 713 university students. As hypothesized, the three-factor model fit the data significantly better than the one-factor model. Regression analyses revealed that only authoritarian aggression was related to social dominance orientation. That is, only intolerance of deviance was related to high social dominance, whereas submissiveness was not.

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