Polymers in media with long-range-correlated quenched disorder

✍ Scribed by V. Blavats'ka; Ch. von Ferber; Yu. Holovatch

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 324 KB
• Volume: 92
• Category: Article
• ISSN: 0167-7322
• DOI: 10.1016/s0167-7322(01)00179-9

✦ Synopsis

We study the scaling properties of self-avoiding walks (SAWs) on a d-dimensional disordered lattice with quenched defects obeying a power law correlation ,,~ r -a for large distances r. Such type of disorder is known to be relevant for magnetic phase transitions. We apply the field-theoretical renormalization group approach and perform calculations in a double expansion in 6 = 4 -d, 5 = 4 -a. The asymptotic behaviour of SAWs on a lattice with long-range-correlated disorder is found to be governed by a new exponent //ions = 1/2