Changeover from a critical line to a tricritical point in the large N-limit

Amit, Daniel J.; Dominicis, C T de

doi:10.1016/0375-9601(73)90161-8

Cited by 18 publications

(2 citation statements)

References 9 publications

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“…The renormalization of the second virial coefficient due to the higher-order cluster integrals is wellknown in magnetic problems (see, for example, [9]).…”

Section: The Renormalization Of the Second Virial Coef-mentioning

confidence: 99%

On the θ-behaviour of a polymer chain

Khokhlov

1977

J. Phys. France

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2014 L'application d'une méthode de développement en amas à l'étude d'une pelote polymérique montre que la présence des collisions d'ordre élevé entraîne : a) une renormalisation du coefficient du second viriel de l'interaction des monomères; b) l'existence de corrections spéciales liées au fait que la chaîne est finie. Ces corrections sont près du point 0, elles entraînent l'existence d'une région 0 finie pour des chaines finies. Le comportement 0 de polymères hétérogènes (polymères avec défauts, polymères ramifiés) est aussi considéré. Abstract. 2014 By means of a cluster expansion method it is shown that the presence of higher-order collisions in a polymeric coil leads to : a) the renormalization of the second virial coefficient of monomer interaction; b) the existence of specific corrections due to chain finiteness which are the main corrections near the 03B8-point. These corrections lead to the existence of a finite 03B8-region for finite chains. The 03B8-behaviour of inhomogeneous polymers (polymers with defects, branched polymers) is also discussed.

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“…The renormalization of the second virial coefficient due to the higher-order cluster integrals is wellknown in magnetic problems (see, for example, [9]).…”

Section: The Renormalization Of the Second Virial Coef-mentioning

confidence: 99%

On the θ-behaviour of a polymer chain

Khokhlov

1977

J. Phys. France

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“…The crossover from critical behaviour controlled by the Heisenberg fixed point to tricritical behaviour controlled by the Gaussian (free-field) fixed point is discussed by Riedel and Wegner (1969), Griffiths (1973) and Schulman (1973) (phenomenologically). The RG approach is outlined by Riedel and Wegner (1972) and discussed by Nelson and Rudnick (1975), Lawrie (1976), Nicoll et a1 (1976) in E expansion (~= 4 -d ) , and by Amit and De Dominicis (1973) in l / n expansion (see also BrCzin et a1 1976a). Exponents can be calculated (at lowest order in the appropriate E) for multicritical fixed points controlled by 4 2 N interactions in d = 2N/(N-1) -E dimensions (Stephen andMcCauley 1973, Tuthill et a1 1975).…”

Section: Tricritical Behaviour and $N (N > 4) Jield Theoriesmentioning

confidence: 99%

The renormalisation group approach to scaling in physics

Wallace

Zia

1978

Rep. Prog. Phys.

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We review the application of the renormalisation group to many-body problems, with particular emphasis on the scaling behaviour which may arise. An introductory section discusses the difficulties of calculating the many-body effects near a magnetic phase transition, and shows by a simple example how the renormalisation group may be used to predict scaling behaviour. A general discussion of scaling and universality follows, with a review of techniques for calculation in lattice models, and an outline of the approaches in field theory. The range of applications of these techniques is discussed. The introductory sections are designed for the non-expert.

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An exactly soluble model with tricritical points for structural-phase transitions

Sarbach

Schneider

1975

Z Physik B

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Changeover from a critical line to a tricritical point in the large N-limit

Cited by 18 publications

References 9 publications

On the θ-behaviour of a polymer chain

On the θ-behaviour of a polymer chain

The renormalisation group approach to scaling in physics

An exactly soluble model with tricritical points for structural-phase transitions

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