Dynamics of Polymers Near the Theta Point

Flory approximant for self-avoiding walks near the theta-point on fractal structures

Journal de Physique I ◽

10.1051/jp1:1991133 ◽

1991 ◽

Vol 1 (3) ◽

pp. 313-316 ◽

Cited By ~ 4

Author(s):

Iksso Chang ◽

Amnon Aharony

Keyword(s):

Fractal Structures ◽

Theta Point ◽

Self Avoiding Walks

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The theta-point and critical point of polymeric fractals : a step beyond Flory approximation

Journal de Physique II ◽

10.1051/jp2:1993150 ◽

1993 ◽

Vol 3 (4) ◽

pp. 547-555 ◽

Cited By ~ 2

Author(s):

Daniel Lhuillier

Keyword(s):

Critical Point ◽

Theta Point ◽

Flory Approximation

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Examination of the theta -point from exact enumeration of self-avoiding walks. II

Journal of Physics A General Physics ◽

10.1088/0305-4470/20/18/041 ◽

1987 ◽

Vol 20 (18) ◽

pp. 6435-6453 ◽

Cited By ~ 24

Author(s):

T Ishinabe

Keyword(s):

Exact Enumeration ◽

Theta Point ◽

Self Avoiding Walks

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Dynamic Properties of Semidilute Solutions at the Theta Point

Physical Review Letters ◽

10.1103/physrevlett.77.3673 ◽

1996 ◽

Vol 77 (17) ◽

pp. 3673-3676 ◽

Cited By ~ 10

Author(s):

M. Adam ◽

D. Lairez ◽

E. Raspaud ◽

B. Farago

Keyword(s):

Dynamic Properties ◽

Semidilute Solutions ◽

Theta Point

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Integrability in statistical physics and quantum spin chains

Integrability: From Statistical Systems to Gauge Theory ◽

10.1093/oso/9780198828150.003.0001 ◽

2019 ◽

pp. 1-59

Author(s):

Jesper Lykke Jacobsen

Keyword(s):

Statistical Physics ◽

Continuum Limit ◽

Critical Case ◽

Specific Model ◽

Quantum Spin ◽

Spin Chains ◽

Target Space ◽

Quantum Spin Chains ◽

Conformal Field ◽

Theta Point

This chapter illustrates basic concepts of quantum integrable systems on two important models of statistical physics: the Q-state Potts model and the O(n) model. Both models are transformed into loop and vertex models that provide representations of the dense and dilute Temperley–Lieb algebras. The identification of the corresponding integrable R-matrices leads to the solution of both models by the algebraic Bethe Ansatz technique. Elementary excitations are discussed in the critical case and the link to conformal field theory in the thermodynamic limit is established. The concluding sections outline the solution of a specific model of the theta point of collapsing polymers, leading to a continuum limit with a non-compact target space.

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