# Groupe de Physique Statistique

## Equipe 106, Institut Jean Lamour

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### Permanents

#### Coordonnées personnelles :

Loïc Turban

+33 (0)3.83.68.48.11

Page web personnelle

#### Activités de recherche

Critical phenomena in 2d classical or 1d quantum systems. Finite-size effects. Influence of various perturbations. Conformal invariance. Surface and interface critical behaviour. Percolation. Reaction-diffusion...

#### Liste de publications :

Articles dans des revues à comité de lecture
 [118] One-dimensional q-state Potts model with multi-site interactions Turban L.J. Phys. A 50 (2017) 205001 IOPSelect [117] One-dimensional Ising model with multispin interactions Turban L.J. Phys. A: Math. Theor. 49 (2016) 355002 [116] Records for the number of distinct sites visited by a random walk on the fully-connected lattice Turban L.J. Phys. A: Math. Theor. 48 (2015) 445001 [115] Probability distribution of the number of distinct sites visited by a random walk on the finite-size fully-connected lattice Turban L.J. Phys. A: Math. Theor. 47 (2014) 385004 [114] Evolution of the magnetization after a local quench in the critical transverse-field Ising chain Iglói F., Roósz G., Turban L.J. Stat. Mech. (2014) P03023 [113] Nonequilibrium phase transition in a driven Potts model with friction Iglói F., Pleimling M. and Turban L.Phys. Rev. E 83 (2011) 041110 [112] Anomalous diffusion in a space- and time-dependent energy landscape Turban L.J. Stat. Mech. (2010) P12013 [111] On a random walk with memory and its relation to Markovian processes Turban L.J. Phys. A: Math. Theor. 43 (2010) 285006 [110] Disordered Potts model on the diamond hierarchical lattice: Numerically exact treatment in the large-q limit Iglói F., Turban L.Phys. Rev. B 80 (2009) 134201 [109] Gradient critical phenomena in the Ising quantum chain: surface behaviour Collura M., Karevski D., Turban L.J. Stat. Mech. (2009) P08007 [108] Aperiodic Ising model on the Bethe lattice: Exact results Iglói F., Turban L.Phys. Rev. E 78 (2008) 031128 [107] Scaling properties at the interface between different critical subsystems: The Ashkin-Teller model Lajko P., Turban L. and Iglói F.Phys. Rev. B 76 (2007) 224423 [106] Gradient critical phenomena in the Ising quantum chain Platini T., Karevski D., Turban L.J. Phys. A: Math. Theor. 40 (2007) 1467 - 1479 [105] Critical behavior at the interface between two systems belonging to different universality classes Bagamery F.A., Turban L., Iglói F.Physical Review B - Condensed Matter and Materials Physics 73 (2006) 144419 [104] Two-dimensional Ising model with self-dual biaxially correlated disorder Bagamery F.A., Turban L., Iglói F.Physical Review B - Condensed Matter and Materials Physics 72 (2005) 094202 [103] Reaction-diffusion with a time-dependent reaction rate: The single-species diffusion-annihilation process Turban L.Journal of Physics A: Mathematical and General 37 (2004) 8467 [102] Logarithmic corrections in the two-dimensional Ising model in a random surface field Pleimling M., Bagamery F.A., Turban L., Iglói F.Journal of Physics A: Mathematical and General 37 (2004) 8801 [101] Iterated random walk Turban L.Europhysics Letters 65 (2004) 627 [100] Universal crossing probabilities and incipient spanning clusters in directed percolation Turban L.European Physical Journal B 33 (2003) 331 [99] Scale-invariant universal crossing probability in one-dimensional diffusion-limited coalescence Turban L.Journal of Physics A: Mathematical and General 36 (2003) 3995 [98] Universal crossing probability in anisotropic systems Turban L.Europhysics Letters 60 (2002) 86 [97] First- and second-order phase transitions in scale-free networks Iglói F., Turban L.Physical Review E - Statistical, Nonlinear, and Soft Matter Phys 66 (2002) [96] Multiscaling in Ising quantum chains with random Hilhorst-van Leeuwen perturbations Turban L.Physica A: Statistical Mechanics and its Applications 303 (2002) 275 [95] Surface-induced disorder and aperiodic perturbations at first-order transitions Turban L., Iglói F.Physical Review B - Condensed Matter and Materials Physics 66 (2002) 144401 [94] Conformal off-diagonal boundary density profiles on a semi-infinite strip Turban L.Journal of Physics A: Mathematical and General 34 (2001) [93] Lattice animals on a staircase and Fibonacci numbers Turban L.Journal of Physics A: Mathematical and General 33 (2000) 2587 [92] Percolation and conduction in restricted geometries Lajko P., Turban L.Journal of Physics A: Mathematical and General 33 (2000) 1683 [91] Conformal profiles in the Hilhorst-van Leeuwen model Karevski D., Turban L., Igloi F.Journal of Physics A: Mathematical and General 33 (2000) 2663 [90] Extended surface disorder in the quantum Ising chain Turban L., Karevski D., Igloi F.Journal of Physics A: Mathematical and General 32 (1999) 3907 [89] Transverse-field Ising spin chain with inhomogeneous disorder Karevski D., Juhasz R., Turban L., Igloi F.Physical Review B - Condensed Matter and Materials Physics 60 (1999) 4195 [88] Aperiodic extended surface perturbations in the Ising model Turban L.European Physical Journal B 11 (1999) 273 [87] Anomalous diffusion in aperiodic environments Igloi F., Turban L., Rieger H.Physical Review E59 (1999) 1465 [86] Corner exponents in the two-dimensional Potts model Karevski D., Lajko P., Turban L.Journal of Statistical Physics 86 (1997) 1153 [85] Exact renormalization-group study of aperiodic Ising quantum chains and directed walks Igloi F., Turban L., Karevski D., Szalma F.Physical Review B - Condensed Matter and Materials Physics 56 (1997) 11031 [84] Off-diagonal density profiles and conformal invariance Turban L., Igloi F.Journal of Physics A: Mathematical and General 30 (1997) L105 [83] Common trends in the critical behavior of the ising and directed walk models Igloi F., Turban L.Physical Review Letters 77 (1996) 1206 [82] Log-periodic corrections to scaling: Exact results for aperiodic Ising quantum chains Karevski D., Turban L.Journal of Physics A: Mathematical and General 29 (1996) 3461 [81] Marginal anisotropy in layered aperiodic Ising systems Berche P.E., Berche B., Turban L.Journal de Physique. I 6 (1996) 621 [80] Radial Fredholm perturbation in the two-dimensional Ising model and gap-exponent relation Karevski D, Turban L, Igloi FJournal of Physics A: Mathematical and General 28 (1995) 3925-3934 [79] Anisotropic scaling in layered aperiodic Ising systems Berche B., Berche P.E., Henkel M., Igloi F., Lajko P., Morgan S., Turban L.Journal of Physics A: Mathematical and General 28 (1995) L165 [78] Surface shape and local critical behaviour in two-dimensional directed percolation Kaiser C., Turban L.Journal of Physics A: Mathematical and General 28 (1995) 351 [77] Local critical behaviour at aperiodic surface extended perturbation in the Ising quantum chain Karevski D, Palágyi G, Turban LJournal of Physics A: Mathematical and General 28 (1994) 45-55 [76] SURFACE MAGNETIZATION OF APERIODIC ISING SYSTEMS - A COMPARATIVE-STUDY OF THE BOND AND SITE PROBLEMS Turban L., Berche P.E., Berche B.Journal of Physics A: Mathematical and General 27 (1994) 6349 [75] Fractal dimensions of confined clusters in two-dimensional directed percolation Kaiser C., Turban L.Journal of Physics A: Mathematical and General 27 (1994) L579 [74] Relevant aperiodic modulation in the 2d Ising model Igloi F., Turban L.Europhysics Letters 27 (1994) 91 [73] SURFACE MAGNETIZATION AND CRITICAL-BEHAVIOR OF APERIODIC ISING QUANTUM CHAINS Turban L., Igloi F., Berche B.Physical Review B 49 (1994) 12695 [72] Inhomogeneous systems with unusual critical behaviour Igloi F., Peschel I., Turban L.Advances in Physics 42 (1993) 683 [71] SURFACE MAGNETIZATION OF APERIODIC ISING QUANTUM CHAINS Turban L., Berche B.Zeitschrift fur Physik B-Condensed Matter 92 (1993) 307 [70] MARGINAL EXTENDED PERTURBATIONS IN 2 DIMENSIONS AND GAP EXPONENT RELATIONS Turban L., Berche B.Journal of Physics A: Mathematical and General 26 (1993) 3131 [69] SURFACE GEOMETRY AND LOCAL CRITICAL-BEHAVIOR - THE SELF-AVOIDING-WALK Turban L., Berche B.Journal de Physique I 3 (1993) 925 [68] First-order line transition: a general scaling theory with an irrelevant variable Igloi F., Turban L.Physical Review B - Condensed Matter and Materials Physics 47 (1993) 3404 [67] Anisotropic critical phenomena in parabolic geometries: the directed self-avoiding walk Turban L.Journal of Physics A: Mathematical and General 25 (1992) L127 [66] Deposition of particles in a two-dimensional lattice gas flow Toussaint J.-C., Debierre J.-M., Turban L.Physical Review Letters 68 (1992) 2027 [65] Surface critical behavior of inhomogeneous semi-infinite systems Bariev R. Z., Turban L.Physical Review B - Condensed Matter and Materials Physics 45 (1992) 10761 [64] Exact solution of an N-sublattice vertex model Bariev R. Z., Truong T. T., Turban L.Journal of Physics A: Mathematical and General 25 (1992) L561 [63] Radial marginal perturbation of two-dimensional systems and conformal invariance Turban L.Physical Review B - Condensed Matter and Materials Physics 44 (1991) 7051 [62] CRITICAL-BEHAVIOR NEAR MULTIPLE JUNCTIONS AND DIRTY SURFACES IN THE 2-DIMENSIONAL ISING-MODEL Igloi F., Turban L., Berche B.Journal of Physics A: Mathematical and General 24 (1991) L1031 [61] Critical behaviour in parabolic geometries Peschel I., Turban L., Igloi F.Journal of Physics A: Mathematical and General 24 (1991) L1229 [60] Statistics of nested spiral self-avoiding loops: exact results on the square and triangular lattices Turban L.Journal of Physics A: Mathematical and General 24 (1991) L1119 [59] CRITICAL OFF-CRITICAL INTERFACE IN THE ISING QUANTUM CHAIN AND CONFORMAL-INVARIANCE Berche B., Turban L.Journal of Physics A: Mathematical and General 24 (1991) 245 [58] Cooperative diffusion of animals on the square lattice Toussaint J. C., Debierre J. M., Turban L.Journal of Physics A: Mathematical and General 24 (1991) 477 [57] Critical behavior near a smooth inhomogeneity in the planar ising model and conformal invariance Igloi F., Berche B., Turban L.Physical Review Letters 65 (1990) 1773 [56] CONFORMAL-INVARIANCE AND SURFACE-DEFECTS IN THE 2-DIMENSIONAL ISING-MODEL - EXACT RESULTS Berche B., Turban L.Journal of Statistical Physics 60 (1990) 167 [55] INHOMOGENEOUS ISING CHAIN IN A TRANSVERSE FIELD - FINITE-SIZE SCALING AND ASYMPTOTIC CONFORMAL SPECTRUM Berche B., Turban L.Journal of Physics A: Mathematical and General 23 (1990) 3029 [54] Ballistic chain-chain aggregation in d=1-3 Debierre J. M., Turban L.Journal of Physics A: Mathematical and General 23 (1990) 1421 [53] CONFORMAL-INVARIANCE AND PERTURBATIONS IN THE TWO-DIMENSIONAL ISING-MODEL - SURFACE-DEFECTS Berche B., Turban L.Journal of Statistical Physics 56 (1989) 589 [52] Influence of the chain mobility on the dynamic scaling of chain-chain aggregation in three dimensions Debierre J. M., Turban L., Penson K. A., Busch U.Physical Review A 39 (1989) 470 [51] Inverse relation for the two-dimensional Ising model with multispin interactions Turban L.Journal of Physics A: Mathematical and General 21 (1988) 3035 [50] Crossover in the one-dimensional self-directed walk Turban L., Debierre J. M.Journal of Physics A: Mathematical and General 21 (1988) L339 [49] Conformal invariance and critical behaviour of a quantum Hamiltonian with three-spin coupling in a longitudinal field Penson K. A., Debierre J. M., Turban L.Physical Review B 37 (1988) 7884 [48] Influence of the chain mobility on the dynamic scaling of chain-chain aggregation in two dimensions Debierre J. M., Turban L.Journal of Physics A: Mathematical and General 21 (1988) 1029 [47] Static and dynamic scaling for chain-chain aggregation in two dimensions Debierre J. M., Turban L.Journal of Physics A: Mathematical and General 20 (1987) L239 [46] Self-directed walk: a Monte-Carlo study in two dimensions Turban L., Debierre J. M.Journal of Physics A: Mathematical and General 20 (1987) 679 [45] Static and dynamic scaling for "free reptation"-limited chain-chain aggregation in two dimensions Debierre J. M., Turban L.Journal of Physics A: Mathematical and General 20 (1987) 4457 [44] Comment on Reflecting and absorbing boundary conditions on the tail of the Laplacian random walk" Bradley R. M., Kung D., Debierre J. M., Turban L.Journal of Physics A: Mathematical and General 20 (1987) 3547 [43] Self-directed walk: a Monte-Carlo study in three dimensions Turban L., Debierre J. M.Journal of Physics A: Mathematical and General 20 (1987) 3415 [42] Universal functions in finite-size scaling: a numerical study in the Ising and Potts q=3 universality class Debierre J. M., Turban L.Journal of Physics A: Mathematical and General 20 (1987) 1819 [41] Free energy amplitude in finite-size scaling: the Baxter model Turban L., Debierre J. M.Journal of Physics A: Mathematical and General 20 (1987) 239 [40] Universal amplitude of the free energy density in finite-size scaling: the Potts universality Turban L., Debierre J. M.Journal of Physics A: Mathematical and General 19 (1986) L411 [39] Finite-size scaling of the free energy levels in the Ising and Potts q=3 universality Turban L., Debierre J. M.Journal of Physics A: Mathematical and General 19 (1986) 1033 [38] Monte-Carlo study of linear difusion-limited aggregation Debierre J. M., Turban L.Journal of Physics A: Mathematical and General 19 (1986) L131 [37] Conformal invariance and linear defects in the two-dimensional Ising model Turban L.Journal of Physics A: Mathematical and General 18 (1985) L325 [36] Exact results for quantum chains with multisite interactions Turban L.Journal of Physics A: Mathematical and General 18 (1985) 2313 [35] Two-dimensional diffusion limited aggregation: a finite-size scaling approach Turban L., Debierre J. M.Journal of Physics A: Mathematical and General 17 (1984) L289 [34] Exactly solvable spin 1/2 quantum chains with multispin interactions Turban L.Physics Letters A 104 (1984) 435 [33] Hard-triangle magnetic exponent through phenomenological renormalization along the coexistence line Turban L., Debierre J. M.Physics Letters A 103 (1984) 81 [32] Conformation of confined macromolecular chains: cross-over between slit and capillary Turban L.Journal de Physique 45 (1984) 347 [31] Phase transitions in a generalized two-dimensional Ising gauge plus matter theory Turban L.Journal of Physics A: Mathematical and General 17 (1984) 419 [30] Generalized self-avoiding walk Turban L.Journal of Physics A: Mathematical and General 16 (1983) L643 [29] Critical behaviour of the hard-core lattice gas on the honeycomb lattice Debierre J. M., Turban L.Physics Letters A 97 (1983) 235 [28] Two-dimensional Ising model with multispin interactions Debierre J. M., Turban L.Journal of Physics A: Mathematical and General 16 (1983) 3571 [27] Ground-state properties of the antiferromagnetic Potts model in an external field Turban L.Physics Letters A 93 (1983) 426 [26] Antipercolation and site-bond Potts model in the q=1 limit Turban L.Journal of Physics A: Mathematical and General 16 (1983) L15 [25] Antipercolation on Bethe and triangular lattices Sevsek F., Debierre J. M., Turban L.Journal of Physics A: Mathematical and General 16 (1983) 801 [24] Self-dual D-dimensional quantum Potts model with multispin interactions Turban L.Journal of Physics A: Mathematical and General 15 (1982) L243 [23] Impurity magnetization on the Ising chain in a transverse field through a weak-coupling expansion Turban L.Journal of Physics A: Mathematical and General 15 (1982) 1733 [22] Self-dual two-dimensional Potts model with multispin interactions Turban L.Journal of Physics C: Solid State Physics 15 (1982) L227 [21] Self-dual quantum Potts model with multispin interactions in one dimension Turban L., Debierre J. M.Journal of Physics C: Solid State Physics 15 (1982) L129 [20] Self-dual anisotropic two-dimensional Ising models with multispin interactions Turban L.Journal de Physique Lettres 43 (1982) L259 [19] Self-dual Ising chain in a transverse field with multispin interactions Turban L.Journal of Physics C: Solid State Physics 15 (1982) L65 [18] Quasi-Potts model and bond dilution on non alternate lattices Turban L.Journal of Physics A: Mathematical and General 15 (1982) L711 [17] Quantum Hamiltonian formulation of the q-state Potts model: weak-coupling expansion Turban L.Journal de Physique 42 (1981) [16] S-state Potts model on a Cayley tree Turban L.Physics Letters A 78 (1980) 404 [15] Cluster extension of the effective interaction approximation: I Quenched bond disorder in the Ising model Guilmin P., Turban L.Journal of Physics C: Solid State Physics 13 (1980) 4077 [14] Ising spin glasses in the effective-interaction approximation Turban L., Guilmin P.Journal de Physique Lettres 41 (1980) L145 [13] Quenched bond disorder in the Potts model: Single-bond effective-medium approximation Turban L.Journal of Physics C: Solid State Physics 13 (1980) L13 [12] Effective-medium approximation for quenched bond-disorder in the Ising model Turban L.Physics Letters A 75 (1980) 307 [11] Anisotropic critical line from anisotropic scaling Turban L.Journal of Physics C: Solid State Physics 12 (1979) 4245 [10] Influence of random voids on the percolation threshold Turban L.Journal of Physics C: Solid State Physics 12 (1979) L191 [9] Correlated-site percolation on the Bethe lattice: II Mean cluster size Turban L.Journal of Physics C: Solid State Physics 12 (1979) 5009 [8] Anisotropic percolation on the Bethe lattice Turban L.Journal of Physics C: Solid State Physics 12 (1979) 1479 [7] Correlated-site percolation: exact results on the Bethe lattice Turban L., Guilmin P.Journal of Physics C: Solid State Physics 12 (1979) 961 [6] On the effective-medium approximation for bond-percolation conductivity Turban L.Journal of Physics C: Solid State Physics 11 (1978) 449 [5] Driving force for the electromigration of a substitutional impurity Turban L., Gerl M.Physical Review B - Condensed Matter and Materials 15 (1977) 5686 [4] Driving force for the electromigration of an impurity in a homogeneous metal Turban L., Nozières P., Gerl M.Journal de Physique 37 (1976) 159-164 [3] Driving force in electromigration and the residual resistivity field Turban L., Gerl M.Physical Review B - Condensed Matter and Materials 13 (1976) 939 [2] Valence effects in the electromigration of impurities in paramagnetic nickel Turban L., Guilmin P., Gerl M.Zeitschrift für Naturforschung 28A (1973) 1492 [1] Electromigration d'impuretés dans Cu et Ni Guilmin P., Turban L., Gerl M.Journal of Physics and Chemistry of Solids 34 (1973) 951

Non publié
 [3] Mean number of encounters of N random walkers and intersection of strongly anisotropic fractals Turban L.ArXiv : arxiv/1304.4106 [2] On the number of common sites visited by N random walkers Turban L.ArXiv : arxiv/1209.2527 [1] Lattice animals on a staircase and generalized Fibonacci numbers Turban L.ArXiv : cond-mat/0106595

Liste de publications sur les sites externes :
ArXiv, IOP eprintweb, CiteBase, Scientific Commons, Scitation, Google Scholar.

#### Séminaire(s) de groupe et conférence(s) à l'atelier

Séminaire(s) de groupe et conférence(s) à l'atelier

#### Matériel d'enseignement

 [16] Fonctions de Green (avec applications a la physique des solides) Cours, M2 Physique (1996) [15] Phénomènes de Transport 1. Thermodynamique des Processus Irréversibles Cours, M2 Physique (1995) [14] Phénomènes de Transport 2. Approximation de Boltzmann Cours, M2 Physique (1995) [13] Phénomènes Critiques 1. Eléments de Physique Statistique Cours, M2 Physique (1993) [12] Phénomènes Critiques 2. Approximation de Champ Moyen Cours, M2 Physique (1993) [11] Phénomènes Critiques 3. Théorie de Landau Cours, M2 Physique (1993) [10] Phénomènes Critiques 4. Fluctuations Critiques, Lois d'Echelle Cours, M2 Physique (1993) [9] Phénomènes Critiques 5. Modèles Exactement Solubles Cours, M2 Physique (1993) [8] Phénomènes Critiques 6. Introduction au Groupe de Renormalisation Cours, M2 Physique (1993) [7] Percolation et Modèle de Potts Cours, M2 Physique (1984) [6] Transitions de Phase 1. Rappels de Physique Statistique Cours, M2 Physique (1983) [5] Transitions de Phase 2. Généralités Cours, M2 Physique (1983) [4] Transitions de Phase 3. Propriétés au Voisinage d'un Point Critique Cours, M2 Physique (1983) [3] Transitions de Phase 4. Transitions Magnétiques Cours, M2 Physique (1983) [2] Transitions de Phase 5. Transitions Solide-Liquide-Gaz Cours, M2 Physique (1983) [1] Percolation et Conduction Cours, M2 Physique (1981)