# Elsevier

# Physica A: Statistical Mechanics and its Applications

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### 1992, Volume 184, Issue 1

**79-97 The drift velocity in the Rubinstein—Duke model for electrophoresis***by*van Leeuwen, J.M.J. & Kooiman, A.**98-126 Light-induced drift of molecules in atomic gases***by*Viehland, Larry A.**127-134 Statistical properties of deterministic threshold elements — the case of market price***by*Takayasu, Hideki & Miura, Hitoshi & Hirabayashi, Tadashi & Hamada, Koichi**135-142 Statistical properties of the nearest-neighbour distance at a single imperfect trap***by*Datta, P.K. & Jayannavar, A.M.**143-168 Dynamics of excitation in systems with a randomly modulated decay channel***by*Chvosta, Petr & Aslangul, Claude & Pottier, Noëlle & Saint-James, Daniel**169-186 The moment method and rarefied gas flow in channels. General relations***by*Zhdanov, V.M. & Roldughin, V.I.**187-191 Note on the kinetic theory approach to irreversible thermodynamics of radiation and matter***by*Byung Chan Eu, & Mao, Kefei**192-200 Cluster Monte Carlo study of the q-state potts model on hypercubic lattices***by*Hu, Chin-Kun & Hsiao, Shian-Shyong**201-204 Simulation of time exponent in 2D Glauber kinetic Ising model***by*Stauffer, Dietrich**205-230 Quantum lattice gas. Method of density matrix***by*Bondarev, B.V.**231-243 Quantum mechanics in terms of non-negative distribution functions***by*Lalović, D. & Davidović, D.M. & Bijedić, N.**244-275 Exact magnetic transitions in the “union jack” model***by*Braun, E. & Aguilar, A.

### 1992, Volume 183, Issue 4

**381-397 Effective permeability of multifractal porous media***by*Saucier, Antoine**398-410 How many correlation lengths for multifractals?***by*Tremblay, A.-M.S. & Tremblay, R.R. & Albinet, G. & Fourcade, B.**411-421 The direction of maximum spread in anisotropic forest fires and its critical properties***by*Duarte, J.A.M.S. & Carvalho, João Marques & Ruskin, H.J.**422-438 Steady state behavior in a model for droplet growth, sliding and coalescence: the final stage of dropwise condensation***by*Meakin, Paul**439-461 Line tension near the wetting transition: results from an interface displacement model***by*Indekeu, J.O.**462-489 Light scattering and diffusion in suspensions of strongly charged particles at low volume fractions***by*Denkov, Nikolai D. & Petsev, Dimiter N.**490-507 Numerical analysis of the Smoluchowski equation using the split operator method***by*Gómez-Ordóñez, J. & Morillo, M.**508-518 On the entropy of a class of constrained random walks***by*Dayan, Ido & Gitterman, Moshe & Weiss, George H.**519-536 Alternative expressions for the thermal conductivity of dilute gas mixtures***by*Ross, M.J. & Vesovic, V. & Wakeham, W.A.**537-548 First passage times for a generalized telegrapher's equation***by*Masoliver, Jaume & Weiss, George H.**549-562 Metastable state relaxation in a gravitational field***by*Izmailov, Alexander F. & Myerson, Allan S.**563-573 Renormalization group study of the two-dimensional Ising model with crossing bonds***by*Plascak, J.A.**574-578 Corrigendum***by*Hammersley, J.M.

### 1992, Volume 183, Issue 3

**249-254 Percolation transition in systems with frustation***by*Cataudella, V.**255-261 A totalistic three-dimensional cellular automaton with quasiperiodic behaviour***by*Hemmingsson, Jan**262-278 Hydrodynamic fluctuations of spherical micelles and vesicles***by*Lisy, V. & Zatovsky, A.V. & Zvelindovsky, A.V.**279-303 Hydrodynamic theory of superfluid turbulence in He II and Schwarz's vortex modelling***by*Geurst, J.A.**304-350 Conformal weights of RSOS lattice models and their fusion hierarchies***by*Klümper, Andreas & Pearce, Paul A.**351-360 On magnetic properties of copper-oxide high-temperature superconductors at moderate doping***by*Ermilov, A.N.**361-377 Approximation of the Thomas-Fermi-Dirac potential for neutral atoms***by*Jablonski, Aleksander

### 1992, Volume 183, Issue 1

**1-11 Spin glasses from vertex models***by*Johannesson, Henrik**12-24 Statistical mechanics of the line tension***by*Varea, C. & Robledo, A.**25-50 Statistical thermodynamics of ferrofluids***by*Kalikmanov, Vitaly I.**51-53 Quasicrystalline polymers***by*Ruijgrok, Th. & Diks, C.**54-66 Wavenumber- and frequency-dependent diffusion coefficient of interacting Brownian particles***by*Felderhof, B.U. & Vogel, J.**67-95 Symbolic dynamics of fully developed chaos***by*Kluiving, R. & Capel, H.W. & Pasmanter, R.A.**96-129 Symbolic dynamics of fully developed chaos***by*Kluiving, R. & Capel, H.W. & Pasmanter, R.A.**130-147 Kinetics of domain growth in finite Ising strips***by*Albano, E.V. & Binder, K. & Heermann, D.W. & Paul, W.**148-158 Perturbation series solution of the Fokker-Planck equation***by*Ma, Ben Kun & Liu, Shao Jun**159-174 Quantum Markovian master equation theory of particle migration in a stochastic medium***by*Bondarev, B.V.**175-186 Symmetry breaking in the Anderson-Hubbard model***by*Traa, M.R.M.J. & Caspers, W.J.**187-200 A quantum field theory of phonons in crystals extended to the multi-band model I***by*Kitamura, Toyoyuki**201-208 A quantum field theory of phonons in crystals extended to the multi-band model II***by*Kitamura, Toyoyuki**209-222 Small-cluster study of interacting fermions on a square lattice with next-nearest-neighbour interactions***by*Kliros, George S.**223-235 Nonanalytic correlation length in Ising systems with one surface defect line***by*Hucht, A.**236-246 Heat conduction equations as the continuum limits of scale dependent hydrodynamic theory***by*Holeček, M.

### 1992, Volume 182, Issue 3

**295-319 On the modelling of real sand piles***by*Puhl, H.**320-324 Towards the classification of all Boolean cellular automata***by*Kohring, G.A.**325-330 Percolation conductivity of Penrose tiling by the transfer-matrix Monte Carlo method***by*Babalievski, Filip V.**331-345 Polymer statistics***by*Aguilera-Granja, F. & Kikuchi, Ryoichi**346-352 θ-point temperature and exponents for the bond fluctuation model***by*Buldyrev, Sergey V. & Sciortino, Francesco**353-364 Compressibility isotherms of helium-nitrogen mixtures at 298.15 K and up to 10 kbar***by*Zhang, Wei & Biswas, Samirendra N. & Schouten, Jan A.**365-387 The phase diagram of the binary mixture nitrogen-helium at high pressure***by*Vos, Willem L. & Schouten, Jan A.**388-418 Slow evaporation and condensation***by*Bedeaux, D. & Smit, J.A.M. & Hermans, L.J.F. & Ytrehus, T.**419-435 Nonlinear electrohydrodynamic Kelvin-Helmholtz instability under the influence of an oblique electric field***by*Elhefnawy, Abdel Raouf F.**436-454 A general theory of spin-one Ising models in the correlated effective-field approximation***by*Kaneyoshi, T.**455-466 Mapping of the symmetric vertex model onto the Ising model for an arbitrary lattice coordination***by*Šamaj, L. & Kolesík, M.**467-488 Phase properties of a coherent field interacting with two two-level atoms in a cavity***by*Dung, Ho Trung & Huyen, Nguyen Dinh & Shumovsky, A.S.**489-508 The geometry of the thermal quasi-particle transformation***by*Henning, Peter A. & Graf, Martin & Matthäus, Frank

### 1992, Volume 182, Issue 1

**1-8 On the anomalous diffusion behavior in disordered media***by*Wang, K.G.**9-22 Effective-medium theory of diffusion and chemical reactions in the presence of stationary overlapping sinks***by*Krüger, Jens**23-28 Effect of aging and damage on the brain modelled by a phase transition***by*Miyazima, Sasuke & Sakakibara, Mitsuharu**29-32 Simulation of gelation for gelatin in microemulsions***by*Stauffer, D. & Eicke, H.F.**33-46 Pair-distribution function of a non-polar molecular fluid based on the site-site interaction model***by*Boudh-Hir, M.-E.**47-58 Experiments on surface light-induced drift for various systems***by*van der Meer, G.J. & Broers, B. & Hoogeveen, R.W.M. & Hermans, L.J.F.**59-99 Poincaré's theorem and subdynamics for driven systems***by*Jing-Yee, Lee & Tasaki, S.**100-107 Dislocation field fluctuations in the theory of melting***by*Ferraz, A.**108-120 On the relation between various entropy concepts and the valoric interpretation***by*Ebeling, Werner**121-132 Alternative description of stochastic processes in nonlinear systems. “Kinetic form” of master and Fokker-Planck equations***by*Klimontovich, Yu.L.**133-144 Temperature-dependent “frustration”: A thermodynamic rather than a topological effect***by*dos Santos, Roberto J.V. & Lyra, M.L.**145-154 Minimum relative entropies of low-dimensional spin systems***by*Slater, Paul B.**155-189 Solutions of the Davey-Stewartson equation with non-zero boundary condition***by*van der Linden, J.**190-196 Almeida-Thouless inequality for the quenched Ising models with arbitrary distributions of coupling constants***by*Ermilov, A.N. & Kurbatov, A.M. & Kabanovich, V.I. & Racotoaridzauna, S.**197-213 Large-scale hydrodynamic fluctuations in cosmology***by*Zimdahl, W.**214-227 An analytical treatment of a localized electronphonon system in terms of non-equilibrium thermo field dynamics: Intensity distribution***by*Arimitsu, T. & Willeboordse, H.F. & Iwasaki, T.**228-239 On extremal paths for stochastic processes that involve step potentials and the generalized Hamilton-Jacobi equation***by*Cortés, Emilio**240-278 Topological properties of static and dynamic defect configurations in ordered liquids***by*Holz, A.**279-292 Relativistic time dilation in an external field***by*van Holten, J.W.

### 1992, Volume 181, Issue 1

**1-22 Some properties of Anderson localization near two dimensions and in weak magnetic fields***by*Pruisken, A.M.M.**23-28 Finite temperature study of retrieval time in Hopfield network***by*Ghosh, M.**29-52 Interrelations between stochastic equations for systems with pair interactions***by*Helbing, Dirk**53-68 One-dimensional dynamics for a discontinuous map***by*Alexanian, Moorad**69-88 Electric field induced percolation in microemulsions: simulation of the electric conductivity***by*Ilgenfritz, G. & Runge, F.**89-135 Mode coupling and generalized hydrodynamics***by*Schofield, Jeremy & Lim, Raymond & Oppenheim, Irwin**136-155 Morphology transitions during non-equilibrium growth***by*Shochet, Ofer & Kassner, Klaus & Ben-Jacob, Eshel & Lipson, S.G. & Müller-Krumbhaar, Heiner**156-172 Explicit expressions for the correlation functions for the Coulomb and neutral systems in the long wavelength limit***by*Bobrov, V.B. & Klyuchnikov, N.I. & Trigger, S.A.**173-186 A new effective field theory for the anisotropic Heisenberg ferromagnet***by*Idogaki, Toshihiro & Uryû, Norikiyo**187-220 Anomalous damping in plasma***by*Lebedev, V.V. & Smilga, A.V.**221-231 Second virial coefficients for some polyatomic gases and their binary mixtures with noble gases***by*Bell, T.N. & Bignell, C.M. & Dunlop, Peter J.

### 1992, Volume 180, Issue 3

**253-262 Novel domain growth law in random magnets***by*Chowdhury, Debashish & Biswal, B.**263-278 A model for two dimensional orientational order***by*Leitão, H. & Telo da Gama, M.M.**279-284 Increase and decrease of tunneling by variation of the barrier height***by*Suchanecki, Zdzislaw & Levitan, Jacob**285-294 Inversion effects in the kinetics of laser-chemical processing***by*Luk'yanchuk, B. & Piglmayer, K. & Kirichenko, N. & Bäuerle, D.**295-308 An electrothermal instability: the influence of albedo boundary conditions on the stationary states of an exactly solvable model***by*Schat, Carlos & Wio, Horacio S.**309-335 The Einstein-Smoluchowski promeasure for (quasiparticle) gases***by*Banach, Zbigniew & Piekarski, Sławomir**336-358 The Einstein-Smoluchowski promeasure versus the Boltzmann(-Peierls) equation***by*Banach, Zbigniew & Piekarski, Sławomir**359-385 Fisher information as the basis for Maxwell's equations***by*Frieden, B.Roy**386-406 Evolution of zero-dispersion peaks in fluctuation spectra with temperature***by*Soskin, S.M.**407-418 Scaling properties of geometric parallelization***by*Jakobs, A. & Gerling, R.W.**419-427 Interactions of particles having small violations of statistics***by*Greenberg, O.W.**428-434 Generalized Jaynes-Cummings model with atomic motion***by*Bartzis, V.**435-461 Many-atom spontaneous emission in a lossless cavity***by*Kozierowski, M. & Chumakov, S.M. & Mamedov, A.A.

### 1992, Volume 180, Issue 1

**1-18 Simple models for two and three dimensional particle size segregation***by*Meakin, Paul & Jullien, Remi**19-41 Noisy collective behaviour in deterministic cellular automata***by*Gallas, J.A.C. & Grassberger, P. & Herrmann, H.J. & Ueberholz, P.**42-52 High-dimensional simulation of the shape-space model for the immune system***by*Stauffer, Dietrich & Weisbuch, Gérard**53-64 Inhomogeneous mesomorphic polymer systems***by*Lansac, Y. & Maïssa, P.**65-114 Kinetic theory approach to irreversible thermodynamics of radiation and matter***by*Eu, Byung Chan & Mao, Kefei**115-127 Linearizable mappings***by*Ramani, A. & Grammaticos, B. & Karra, G.**128-155 Phase separation by directional quenching and morphological transition***by*Furukawa, Hiroshi**156-170 Linearization transformations for non-linear dynamical systems: Hilbert space approach***by*Kowalski, Krzysztof**171-181 Ordering transition in a Fermi gas interacting with an Ising chain***by*Maćkowiak, J.**182-204 On the statistical thermodynamics of a model for non-equilibrium semiconductors***by*Vasconcellos, Aurea R. & Luzzi, Roberto**205-224 Non-classical effects in Jaynes-Cummings model: effect of the phases***by*Abdel-Hafez, A.M. & Obada, A.-S.F.**225-240 Density functional approximation for the kinetic energy of independent electrons in one dimension***by*Combariza, E. & Chacón, E. & Tarazona, P.**241-251 A hierarchy of non-linear evolution equations its Hamiltonian structure and classical integrable system***by*Xianguo, Geng

### 1991, Volume 179, Issue 3

**311-318 Searching for fractures in a fracture network - a game theory approach***by*Barak, Liana & Braester, Carol**319-339 On the density and temperature dependence of the critical behavior in non-random frozen spin clusters***by*Poland, Douglas**340-343 Droplet dynamics in the 3D Ising model***by*Miranda, E.N.**344-377 Nonasymptotic critical thermodynamical behavior of fluids***by*Tang, S. & Sengers, J.V. & Chen, Z.Y.**378-410 Semiclassical statistical mechanics of simple molecular fluids***by*Singh, S.K. & Prasad, N. & Sinha, S.K.**411-427 A projection operator approach to a dissipative two-level system***by*Morillo, M. & Cukier, R.I. & Tij, M.**428-441 Relaxation in a dissipative two-level system: A projection operator approach***by*Morillo, M. & Tij, M.**442-470 Cellular automata approach to interacting cellular network models for the dynamics of cell population in an early HIV infection***by*Pandey, R.B.**471-495 Some problems of the statistical description of hydrodynamic motion and autowave processes***by*Klimontovich, Yu.L.**496-506 Three-state chiral Potts models on the triangular lattice: a Monte Carlo study***by*Anglès d'Auriac, J.C. & Maillard, J.M. & Wu, F.Y.**507-530 The statistical mechanics of interacting strings***by*Copeland, E. & Haws, D. & Holbraad, S. & Rivers, R.**531-552 Kinetic theory in the weak-coupling approximation***by*Tzanakis, C.**553-559 A real space scaling of the electron charge fluctuations in strongly correlated oxides II***by*Proinov, E.I. & Neshev, N.M.**560-572 Shift operator matrix-size reduction through symmetry considerations***by*Li, J. & McQuistan, R.B.

### 1991, Volume 179, Issue 1

**1-15 Theory of the threshold field for the depinning transition of a charge density wave***by*Pietronero, L. & Versteeg, M.**16-38 Theory of stretched exponential relaxation and critical behavior at depinning for charge density waves***by*Parisi, Giorgio & Pietronero, Luciano**39-61 Critical exponent γ for a class of directed walks at the fractal to Euclidean crossover***by*Elezović-Hadz̆ić, S. & Milos̆ević, S. & Capel, H.W. & Post, Th.**62-68 A percolation model for the role of quenching temperature in doped-high temperature superconductors***by*Klein, Lior**69-80 Effect of particle velocity fluctuations in particle-fluid flows***by*Drew, Donald A.**81-102 Multisite spin hopping analysis of multilevel dissipative quantum tunneling and coherence at finite temperatures***by*Dekker, H.**103-130 Phase variable and phase relaxation processes in the Liouville space***by*Ban, Masashi**131-144 Statistical properties of a transformed Tavis-Cummings model***by*Sebawe Abdalla, M.**145-157 On correlation functions of two-state vertex models on the honeycomb lattice***by*Kolesík, M. & S̆amaj, L.

### 1991, Volume 178, Issue 3

**401-405 Algebraically decaying noise in a system of particles with hard-core interactions***by*Peng, Chung-Kang & Havlin, Shlomo & Schwartz, Moshe & Eugene Stanley, H. & Weiss, George H.**406-414 The free energy at T = 0 of the spin glass in the case of the continuous distribution of the effective field on the Bethe lattice for Z = 4, 5, 6***by*Akagi, Eiichi & Seino, Mitsuhiro & Katsura, Shigetoshi**415-420 Diffusion limited aggregation. The role of surface diffusion***by*García-Ruiz, Juan M. & Otálora, Fermín**421-443 The structure of binary mixtures of charged colloidal suspensions***by*Méndez-Alcaraz, J.M. & D'Aguanno, B. & Klein, R.**444-466 Linear dynamics of dilute hard-sphere suspensions***by*Felderhof, B.U. & Jansen, G.H.**467-492 Dynamics of elliptic domain walls***by*Garanin, D.A.**493-509 Effect of very short impulses on nonlinear dissipative kinetics***by*Fuliński, Andrzej**510-527 The method of Green's functions for a time-dependent Hamiltonian in systems far off equilibrium***by*Heiner, E.**528-550 Thermodynamics of the n-level system in the planar isotropic Ising model with annealed bonds***by*Polyakov, M.L.**551-560 The specific heat of a general two-dimensional Ising model***by*Aguilar, A. & Braun, E.**561-576 Influence of the counter-rotating terms on the spontaneous emission from a two-level hydrogenic atom: non-Markovian solution for atomic population-inversion expectation value and the radiative line shape***by*Seke, J. & Herfort, W.**577-586 Comparison of a noncausal with a causal relativistic wave-packet evolution***by*de Castro, Ageu N. & Jabs, Arthur

### 1991, Volume 178, Issue 2

**207-214 Self-avoiding magnetic chains***by*Shang, C.H. & Liu, B.X. & Li, H.D.**215-226 Numerical solution of the Kardar-Parisi-Zhang equation in one, two and three dimensions***by*Moser, Keye & Kertész, János & Wolf, Dietrich E.**227-235 Stability analysis of crack propagation***by*Herrmann, H.J. & Kertész, J.**236-240 Stochastic dynamics of a slightly deformed membrane***by*Edwards, S.F. & Schwartz, Moshe**241-279 Statics and tracer-diffusion in binary suspensions of polystyrene spheres: experiment vs. theory***by*Krause, R. & Arauz-Lara, J.L. & Nägele, G. & Ruiz-Estrada, H. & Medina-Noyola, M. & Weber, R. & Klein, R.**280-288 Temporal dimension and transition out of chaos***by*Otero, D. & Giuliani, D. & Sassano, M.**289-331 Multisite spin hopping analysis of multilevel dissipative quantum tunneling and coherence at finite temperatures***by*Dekker, H.**332-350 A transfer-matrix method for spatially modulated structures***by*Šurda, A.**351-363 Lattice Green's function for anisotropic triangular lattice***by*Horiguchi, Tsuyoshi**364-375 Criticality of the bond-diluted Z(4) ferromagnet on the square lattice***by*Mariz, A.M. & Nobre, F.D. & de Souza, E.S.**376-388 A quantum kinetic equation for photons in a plasma***by*Tamme, D. & Bornath, T.**389-400 Surface phase diagrams of a spin-one monolayer on a semi-infinite spin-12 Ising ferromagnet***by*Kaneyoshi, T.

### 1991, Volume 178, Issue 1

**1-5 Roughening in random sine-Gordon systems***by*Schwartz, Moshe & Nattermann, Thomas**6-16 On the missing scaling relation in random field systems***by*Schwartz, Moshe & Gofman, Michael & Natterman, Thomas**17-28 Multifractal spectra of multi-affine functions***by*Barabási, Albert-László & Szépfalusy, Péter & Vicsek, Tamás**29-43 On the damage spreading in Ising spin glasses***by*Campbell, I.A. & de Arcangelis, L.**44-61 Diffusion through a membrane with pressure-induced structure***by*Dudek, M.R. & Mróz, Iwona**62-100 Windows in one-dimensional maps***by*Post, Thijs & Capel, Hans W.**101-122 Perturbation theory analysis of chaos III. Period doubling bifurcations in a simple model***by*Shimizu, Toshihiro**123-148 Transport properties of dense fluids via spherical models of the interaction potential***by*Nebelenchuk, V.F. & Mazur, V.A.**149-167 The XY model and Kadanoff's variational real space renormalization group***by*Thorleifsson, G. & Damgaard, P.H.**168-194 Exact solution of a stochastic dimer problem with single-site energy modulation***by*Chvosta, Petr**195-205 Optical absorption of a coated sphere above a substrate***by*Ruppin, R.

### 1991, Volume 177, Issue 1

**xxi-xxi Random surfaces from random matrices***by*Brézin, E.**xx-xx Effects of random fields on bicritical phase diagrams in two and three dimensions***by*Birgeneau, R.J.**xviii-xviii Achieving exemplary education in abundance***by*Wilson, K.G.**xix-xix Statistical physics methods in oil recovery***by*Aharony, A.**1-21 Michael Fisher at King's College London***by*Domb, Cyril**22-23 Waiting to be made***by*Hoffmann, Roald**24-30 Numerical complex zeros of the random energy model***by*Moukarzel, Cristian & Parga, Nestor**31-37 The zeroes of the partition function of the random energy model***by*Derrida, B.**38-44 Fisher zeros and Julia sets: a multifractal analysis***by*Hu, Bambi & Lin, Bin**45-50 Transmission of order in dilute magnets***by*Adler, Joan**51-57 Self-avoiding walks***by*Hammersley, J.M.**58-66 Effects of random fields on bicritical phase diagrams in two and three dimensions***by*Birgeneau, R.J. & Aharony, A. & Cowley, R.A. & Hill, J.P. & Pelcovits, R.A. & Shirane, G. & Thurston, T.R.**67-72 Random walks in random media with random signs***by*Gelfand, Martin P.**73-78 Entropy of the random triangle-square tiling***by*Kawamura, Hikaru**79-83 Vibrational melting and its possible relevance to amorphous silicon***by*Stillinger, Frank H.**84-92 Pathologies of the infinite-n limit of random anisotropy: spin glass transition or local crossover?***by*Fisher, Daniel S.**93-100 Fractal study of polystyrene latex and silica particle aggregates***by*Zhou, Zukang & Chu, Benjamin**101-108 On solving the Ising model functional relation without elliptic functions***by*Baxter, R.J.**109-113 Locus of the tricritical transition in a two-dimensional q-state Potts model***by*Nienhuis, Bernard**114-122 Three-state chiral Potts models in two dimensions: integrability and symmetry***by*Anglès d'Auriac, J.C. & Maillard, J.M. & Wu, F.Y.**123-130 Bulk value of the central charge in conformally invariant critical phenomena***by*Baker, George A. & Singh, Rajiv R.P.**131-138 Fisher renormalisation and conformal field theory***by*Mansfield, P. & Stinchcombe, R.B.**139-145 Star-triangle equations and multicomponent chiral Potts models***by*Au-Yang, Helen & Perk, Jacques H.H.**146-152 Contact models of a collapsing branched polymer***by*Gaunt, D.S.**153-160 Critical endpoints in the spherical model with rapidly decaying power-law interactions***by*Barbosa, Marcia C.