Higher-Order Critical Points in Magnetic Systems

1983 ◽  
pp. 40-55 ◽  
Author(s):  
R. M. Hornreich
Keyword(s):  
Critical Points ◽  
Higher Order ◽  
Magnetic Systems

scholarly journals Two Soluble Models of Magnetic Systems Showing Critical Points of Higher Order

1973 ◽  
Author(s):  
Alex Hankey ◽  
T. S. Chang ◽  
H. E. Stanley ◽  
Hugh C. Wolfe ◽  
C. D. Graham ◽  
...  
Keyword(s):  
Critical Points ◽  
Higher Order ◽  
Magnetic Systems

Phase diagrams and higher-order critical points

1975 ◽  
Vol 12 (1) ◽  
pp. 345-355 ◽  
Author(s):  
Robert B. Griffiths
Keyword(s):  
Phase Diagrams ◽  
Critical Points ◽  
Higher Order

Exponents for critical points of higher order

1975 ◽  
Vol 54 (1) ◽  
pp. 1-2 ◽  
Author(s):  
F.J. Wegner
Keyword(s):  
Critical Points ◽  
Higher Order

scholarly journals Renormalization group calculation for critical points of higher order with general propagator

1976 ◽  
Vol 58 (1) ◽  
pp. 1-2 ◽  
Author(s):  
J.F. Nicoll ◽  
G.F. Tuthill ◽  
T.S. Chang ◽  
H.E. Stanley
Keyword(s):  
Renormalization Group ◽  
Critical Points ◽  
Higher Order ◽  
Renormalization Group Calculation

Extracting Higher Order Critical Points and Topological Simplification of 3D Vector Fields

2006 ◽  
Author(s):  
T. Weinkauf ◽  
H. Theisel ◽  
Kuangyu Shi ◽  
H.-C. Hege ◽  
H.-P. Seidel
Keyword(s):  
Critical Points ◽  
Vector Fields ◽  
Higher Order

THE R3 EXTENSION OF NEW MASSIVE GRAVITY IN AdS3 SPACE

2013 ◽  
Vol 28 (14) ◽  
pp. 1350048
Author(s):  
M. R. SETARE ◽  
M. SAHRAEE
Keyword(s):  
Critical Points ◽  
Massive Gravity ◽  
Higher Order ◽  
Higher Order Gravity

In this paper, we investigate the behavior of linearized gravitational excitation in the R3 extension of new massive gravity in AdS 3 space. We show that this higher-order gravity propagate two graviton with different mass on AdS 3 background. This model has two critical points, where the massive gravitons become massless and the graviton energies are zero.

scholarly journals Application of Generalized (Hyper-) Dual Numbers in Equation of State Modeling

2021 ◽  
Vol 3 ◽  
Author(s):  
Philipp Rehner ◽  
Gernot Bauer
Keyword(s):  
Equation Of State ◽  
Open Source ◽  
Critical Points ◽  
Higher Order ◽  
Dual Numbers ◽  
Science And Engineering ◽  
Thermodynamic Potentials ◽  
Complex Models ◽  
Derivatives Of

The calculation of derivatives is ubiquitous in science and engineering. In thermodynamics, in particular, state properties can be expressed as derivatives of thermodynamic potentials. The manual differentiation of complex models can be tedious and error-prone. In this work, we revisit dual and hyper-dual numbers for the calculation of exact derivatives and show generalizations to higher order derivatives and derivatives with respect to vector quantities. The methods described in this paper are accompanied by an open source Rust implementation with Python bindings. Applications of the generalized (hyper-) dual numbers are given in the context of equation of state modeling and the calculation of critical points.

Renormalization-group calculations of exponents for critical points of higher order

1974 ◽  
Vol 9 (11) ◽  
pp. 4882-4887 ◽  
Author(s):  
T. S. Chang ◽  
George F. Tuthill ◽  
H. Eugene Stanley
Keyword(s):  
Renormalization Group ◽  
Critical Points ◽  
Higher Order
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