DOI: 10.1007/bf01292798. Critical behaviour of the energy density in semi-infinite systems

Critical behaviour of the energy density in semi-infinite systems

10.1007/bf01292798

Crossref journal-article

Springer Science and Business Media LLC

Zeitschrift f�r Physik B Condensed Matter (297)

Bibliography

Dietrich, S., & Diehl, H. W. (1981). Critical behaviour of the energy density in semi-infinite systems. Zeitschrift Fï¿½r Physik B Condensed Matter, 43(4), 315â320.

Authors 2

S. Dietrich (first)
H. W. Diehl (additional)

References 19 Referenced 58

See for example Ref. 8 Burkhardt, T.W., Eisenriegler, E.: Critical Phenomena near Free Surfaces and Defect Planes. Preprint (1980) and Phys. Rev. B (to appear)
Diehl, H.W., Dietrich, S.: Phys. Lett.80A, 408 (1980) (10.1016/0375-9601(80)90783-5) / Phys. Lett. by H.W. Diehl (1980)
Diehl, H.W., Dietrich, S.: Z. Phys. B-Condensed Matter42, 65 (1981) (10.1007/BF01298293) / Z. Phys. B-Condensed Matter by H.W. Diehl (1981)
Diehl, H.W., Dietrich, S.: Phys. Rev. B (to appear)
Diehl, H.W., Dietrich, S., Eisenriegler, E.: (to be published)
The same model has been investigated by a variety of authors. Detailed references can be found in [3] (10.1007/BF01298293) / Z. Phys. B-Condensed Matter by H.W. Diehl (1981)
See for example: Bray, A.J., Moore, M.A.: J. Phys. A10, 1927 (1977) (10.1088/0305-4470/10/11/021) / J. Phys. A by A.J. Bray (1977)
Burkhardt, T.W., Eisenriegler, E.: Critical Phenomena near Free Surfaces and Defect Planes. Preprint (1980) and Phys. Rev. B (to appear) (10.1103/PhysRevB.24.1236)
Diehl, H.W., Dietrich, S.: (to be published)
Voorhoeve, R.J.H.: AIP Conference Proc, No18, pt. 1, 19 (1973) / AIP Conference Proc, No by R.J.H. Voorhoeve (1973)
Suhl, H.: Phys. Rev. B11, 2011 (1975) (10.1103/PhysRevB.11.2011) / Phys. Rev. B by H. Suhl (1975)
Zimmermann, W.: In: Lectures on Elementary Particles and Quantum Field Theory. Deser, S., Grisaru, M., Pendleton, H. (eds.) Cambridge: MIT Press 1971 / Lectures on Elementary Particles and Quantum Field Theory by W. Zimmermann (1971)
See also: Symanzik, K.: Small Distance Behaviour in Field Theory. In: Particles, Quantum Fields and Statistical Mechanics. Alexanian, M., Zapeda, A. (eds.), Berlin, Heidelberg, New York: Springer-Verlag 1975 / Particles, Quantum Fields and Statistical Mechanics by K. Symanzik (1975)
The counterterms needed for ??2? have also been discussed by Symanzik, K.: In: Desy preprint No. 81-004 and Nucl. Phys. B (to appear)
Kamke, E.: Differentialgleichungen, Lösungsmethoden und Lösungen. Bd. I, p. 16. New York: Chelsea Publishing Company 1971 / Differentialgleichungen, Lösungsmethoden und Lösungen. Bd. I by E. Kamke (1971)
Reed, P.: J. Phys. A11, 137 (1978) (10.1088/0305-4470/11/1/015) / J. Phys. A by P. Reed (1978)
Burkhardt and Eisenriegler [8] discuss also the critical behaviour of the energy density near a defect plane. They find that the energy density in the plane contains a term $$ \sim t^{2 - \alpha - v - \Phi _{||}^{ord} } $$ and a second one $$ \sim t^{2 - \alpha - v - \gamma _{11}^{ord} } $$ where $$\gamma _{11}^{ord} $$ is the exponent for the local susceptibility. In the case of thed=3 Ising model (n=1) the exponents of the two powers differ only slightly since $$2\gamma _{11}^{ord} \simeq - v$$ .
McCoy, B., Wu, T.T.: Phys. Rev.162, 436 (1967) (10.1103/PhysRev.162.436) / Phys. Rev. by B. McCoy (1967)
An analogous example is discussed in: Itzykson, C., Zuber, J.-B.: Quantum Field Theory: New York: McGraw Hill 1980 / Quantum Field Theory by C. Itzykson (1980)

Dates

Type	When
Created	20 years, 5 months ago (March 24, 2005, 2:06 p.m.)
Deposited	5 years, 4 months ago (April 6, 2020, 9:29 a.m.)
Indexed	3 weeks, 1 day ago (Aug. 3, 2025, 6:58 p.m.)
Issued	43 years, 8 months ago (Dec. 1, 1981)
Published	43 years, 8 months ago (Dec. 1, 1981)
Published Print	43 years, 8 months ago (Dec. 1, 1981)

Funders 0

None

BibTeX

@article{Dietrich_1981, title={Critical behaviour of the energy density in semi-infinite systems}, volume={43}, ISSN={1434-6036}, url={http://dx.doi.org/10.1007/bf01292798}, DOI={10.1007/bf01292798}, number={4}, journal={Zeitschrift f�r Physik B Condensed Matter}, publisher={Springer Science and Business Media LLC}, author={Dietrich, S. and Diehl, H. W.}, year={1981}, month=dec, pages={315–320} }

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