scholarly journals Essential Nonlinearity in Field Theory and Continuum Mechanics. Second- and First-order Generally-Covariant Models

Author(s):  
Jan Jerzy Slawianowski
2013 ◽  
Vol 88 (10) ◽  
Author(s):  
Solomon Endlich ◽  
Alberto Nicolis ◽  
Rafael A. Porto ◽  
Junpu Wang

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Marieke Postma ◽  
Graham White

Abstract To obtain a first order phase transition requires large new physics corrections to the Standard Model (SM) Higgs potential. This implies that the scale of new physics is relatively low, raising the question whether an effective field theory (EFT) description can be used to analyse the phase transition in a (nearly) model-independent way. We show analytically and numerically that first order phase transitions in perturbative extensions of the SM cannot be described by the SM-EFT. The exception are Higgs-singlet extension with tree-level matching; but even in this case the SM-EFT can only capture part of the full parameter space, and if truncated at dim-6 operators, the description is at most qualitative. We also comment on the applicability of EFT techniques to dark sector phase transitions.


2012 ◽  
Vol 376 (45) ◽  
pp. 2922-2925 ◽  
Author(s):  
Emanuel Costabile ◽  
Marcio A. Amazonas ◽  
J. Roberto Viana ◽  
J. Ricardo de Sousa

2016 ◽  
Vol 18 (6) ◽  
pp. 4394-4404 ◽  
Author(s):  
D. O. López ◽  
B. Robles-Hernández ◽  
J. Salud ◽  
M. R. de la Fuente ◽  
N. Sebastián ◽  
...  

We have developed a Landau model that predicts a first order twist-bend nematic–nematic phase transition.


2002 ◽  
Vol 29 (12) ◽  
pp. 687-699 ◽  
Author(s):  
A. Echeverría-Enríquez ◽  
M. C. Muñoz-Lecanda ◽  
N. Román-Roy

We give a geometric formulation of the field equations in the Lagrangian and Hamiltonian formalisms of classical field theories (of first order) in terms of multivector fields. This formulation enables us to discuss the existence and nonuniqueness of solutions of these equations, as well as their integrability.


1987 ◽  
Vol 96 ◽  
Author(s):  
C. M. Williams ◽  
N. C. Koon ◽  
B. N. Das

ABSTRACTThe magnetocrystalline anisotropy energy has been determined for single crystal Y1.8 Er0.2Fe14B in the (001) and (100) planes between 5 K and 300 K using torque magnetometry techniques. The results are compared with a model based on crystal field theory. Excellent agreement was obtained between the model and experiment. Both experiment and model showed a first order spin reorientation between the [001] and an angle 70 degrees from the [001] in the (100) plane.


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