Specific heat near the lambda point in 4He and 3He-4He mixtures: Test of universality of the critical exponent and the amplitude ratio, and observation of the critical-tricritical crossover effect

1980 ◽  
Vol 41 (3-4) ◽  
pp. 221-241 ◽  
Author(s):  
Tadashi Takada ◽  
Takashi Watanabe
Keyword(s):  
Critical Exponent ◽  
Specific Heat ◽  
Amplitude Ratio ◽  
Crossover Effect ◽  
Lambda Point

CRITICAL BEHAVIOR OF THE SPECIFIC HEAT IN THE VICINITY OF THE TRANSITION TEMPERATURE FOR S-TRIAZINE

2009 ◽  
Vol 23 (09) ◽  
pp. 2253-2259 ◽  
Author(s):  
M. KURT ◽  
H. YURTSEVEN
Keyword(s):  
Experimental Data ◽  
Phase Transition ◽  
Transition Temperature ◽  
Critical Exponent ◽  
Specific Heat ◽  
Power Law ◽  
Order Phase Transition ◽  
Critical Behavior ◽  
First Order ◽  
Second Order Phase Transition

The critical behavior of the specific heat is studied in s-triazine ( C 3 N 3 H 3). Using the experimental data for the CP, the temperature dependence of the specific heat is analyzed according to a power-law formula and the values of the critical exponent for CP are extracted in the vicinity of the transition temperature (TC=198.07 K ). It is indicated that s-triazine undergoes a weakly first order (quasi-continuous) or second order phase transition.

Critical Behavior of the Dielectric Modulus in Nitrobenzene-Dodecane Mixture

2003 ◽  
Vol 58 (9-10) ◽  
pp. 541-545 ◽  
Author(s):  
P. Malik ◽  
S. J. Rzoska ◽  
A. Drozd-Rzoska ◽  
W. W. Sułkowskia ◽  
J. Jadzynb
Keyword(s):  
Dielectric Properties ◽  
Dielectric Permittivity ◽  
Critical Exponent ◽  
Specific Heat ◽  
Imaginary Part ◽  
Critical Behavior ◽  
Peak Frequency ◽  
Dielectric Modulus ◽  
Static Dielectric Permittivity ◽  
Temperature Dependences

The dielectric properties of a homogenous critical mixture of nitrobenzene-decane were studied in the range 1 Hz< f1 Mz. The temperature dependences of the “static” dielectric permittivity ε’ (1 MHz) and the electric conductivity σ(1 Hz) exhibit pretransitional anomalies which may be associated with the same critical exponent ø = 1−α ≈ 0.88, where α is the critical exponent of the specific heat. The same data were analyzed using the dielectric modulus representation. They show loss curves for the imaginary part of the modulus M ̋( f ). It was found that the temperature evolutions of the peak frequency τ = 1/2π fp and the peak maximum of M ̋ =M ̋( fp) also exhibit critical anomalies. Their forms resemble anomalies obtained for the imaginary part of the dielectric permittivity ε̋( f ), carried out for 40 MHz < f <1 GHz, in an ethanol-dodecane critical mixture [S. J. Rzoska, K. Orzechowski, and A. Drozd-Rzoska, Phys. Rev. E 65, 042501 (2002)]. - PACS: 64.70.Ja, 77.20.+y , 64.60.Fr

Specific Heat of Helium Confined to a 57-μmPlanar Geometry near the Lambda Point

2000 ◽  
Vol 84 (21) ◽  
pp. 4894-4897 ◽  
Author(s):  
J. A. Lipa ◽  
D. R. Swanson ◽  
J. A. Nissen ◽  
Z. K. Geng ◽  
P. R. Williamson ◽  
...  
Keyword(s):  
Specific Heat ◽  
Lambda Point

The Critical Amplitude for Bifurcation Points of the Logistic Map

1996 ◽  
Vol 51 (12) ◽  
pp. 1170-1174
Author(s):  
Takashi Tsuchiya
Keyword(s):  
Critical Exponent ◽  
Critical Exponents ◽  
Amplitude Ratio ◽  
Logistic Map ◽  
Adjustable Parameter ◽  
Critical Slowing Down ◽  
Critical Amplitude ◽  
Bifurcation Points ◽  
Slowing Down

Abstract The phenomenon called critical slowing down is studied for some analytically tractable bifurcation points of the logistic map. The critical amplitude and the critical amplitude ratio are introduced to describe the critical behaviors more precisely when the critical exponents are identically unity for two critical behaviors which are to be compared. Since Hao predicted unity of the critical exponent for 1-d maps assuming exponential damping of the distance from the attractor, the assumption is checked. The result is that the shrinkage of the valid region of the assumption occurs as the adjustable parameter approaches one of the bifurcation points.

Specific-heat exponent and critical-amplitude ratio at the Lifshitz multicritical point

1989 ◽  
Vol 40 (13) ◽  
pp. 9412-9415 ◽  
Author(s):  
V. Bindilatti ◽  
C. C. Becerra ◽  
N. F. Oliveira
Keyword(s):  
Specific Heat ◽  
Amplitude Ratio ◽  
Critical Amplitude ◽  
Multicritical Point

The specific heat of confined helium near the lambda point

1993 ◽  
Vol 92 (5-6) ◽  
pp. 353-366 ◽  
Author(s):  
J. A. Nissen ◽  
T. C. P. Chui ◽  
J. A. Lipa
Keyword(s):  
Specific Heat ◽  
Lambda Point

Critical Phenomena at the Antiferromagnetic Transition in MnO

1999 ◽  
Vol 602 ◽  
Author(s):  
B.F. Woodfield ◽  
J.L. Shapiro ◽  
R. Stevens ◽  
J. Boerio-Goates ◽  
M.L. Wilson
Keyword(s):  
Ising Model ◽  
Critical Exponent ◽  
Specific Heat ◽  
Temperature Dependence ◽  
Low Temperatures ◽  
Applied Pressure ◽  
Polycrystalline Sample ◽  
Type Ii ◽  
Two Dimensional ◽  
Antiferromagnetic Transition

AbstractThe specific heat of a polycrystalline sample of MnO was measured from T ≈ 1 K to T ≈ 400 K using two different experimental apparatuses at zero applied pressure. Features revealed by the data include a hyperfine contribution due to the Mn nuclei, a T2 temperature dependence at low temperatures due to the type-II antiferromagnetic magnon contribution, and a sharp but well defined antiferromagnetic transition (TN = 117.7095 K) that is clearly second order in nature. The critical exponent, α, deduced from the transition is consistent with a two dimensional Ising model. The specific heat of MnO is also compared with recent results on the type-A antiferromagnet LaMnO3.

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