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In this paper, we study a disordered pinning model induced by a random walk whose increments have a finite $(2+\kappa)$-th moment for some $\kappa>0$. It is known that this model is marginally relevant, and moreover, it undergoes a phase…

Probability · Mathematics 2025-12-23 Ran Wei , Jinjiong Yu

We study the influence of some quenched disorder in the sequence of monomers on the entropic elasticity of long polymeric chains. Starting from the Kratky-Porod model, we show numerically that some randomness in the favoured angles between…

Statistical Mechanics · Physics 2009-10-30 D. Bensimon , D. Dohmi , M. Mezard

New theoretical and numerical analysis of the one-dimensional contact process with quenched disorder are presented. We derive new scaling relations, different from their counterparts in the pure model, which are valid not only at the…

Condensed Matter · Physics 2016-08-15 Raffaele Cafiero , Andrea Gabrielli , Miguel A. Muñoz

In these lectures, we discuss the influence of weak quenched disorder on the critical behavior in condensed matter and give a brief review of available experimental and theoretical results as well as results of MC simulations of these…

Disordered Systems and Neural Networks · Physics 2016-08-31 Yu. Holovatch , V. Blavats'ka , M. Dudka , C. von Ferber , R. Folk , T. Yavors'kii

We study, using Monte Carlo simulations, the steady state properties of a system of particles interacting via hard core exclusion and moving in a discrete flashing disordered ratchet potential. Quenched disorder is introduced by breaking…

Statistical Mechanics · Physics 2015-10-28 Jim Chacko , Goutam Tripathy

We study the adsorption of homogeneous or heterogeneous polymers onto heterogeneous planar surfaces with exponentially decaying site-site correlations, using a variational reference system approach. As a main result, we derive simple…

Soft Condensed Matter · Physics 2009-11-11 Alexey Polotsky , Friederike Schmid , Andreas Degenhard

We numerically study the effect of adding quenched disorder in the form of randomly placed pinning sites on jamming transitions in systems that jam at a well defined point J in the clean limit. Quenched disorder decreases the jamming…

Soft Condensed Matter · Physics 2015-06-04 C. J. Olson Reichhardt , E. Groopman , Z. Nussinov , C. Reichhardt

A formidable perspective in understanding quantum criticality of a given many-body system is through its entanglement contents. Until now, most progress are only limited to the disorder-free case. Here, we develop an efficient scheme to…

Strongly Correlated Electrons · Physics 2022-12-01 Qicheng Tang , W. Zhu

We consider the effective pseudo-Casimir interaction forces mediated by a nematic liquid-crystalline film bounded by two planar surfaces, one of which imposes a random (disordered) distribution of the preferred anchoring axis in the…

Soft Condensed Matter · Physics 2014-07-07 Fahimeh Karimi Pour Haddadan , Ali Naji , Azin Kh. Seifi , Rudolf Podgornik

We consider field theory formulation for directed polymers and interfaces in the presence of quenched disorder. We write a series representation for the averaged free energy, where all the integer moments of the partition function of the…

Statistical Mechanics · Physics 2020-05-08 Róbinson J. Acosta Diaz , Christian D. Rodríguez-Camargo , Nami F. Svaiter

According to recent numerical results from lattice models, the critical exponents of systems with many absorbing states and an order parameter coupled to a non-diffusive conserved field coincide with those of the linear interface depinning…

Condensed Matter · Physics 2016-08-31 Mikko Alava , Miguel A. Munoz

We investigate the influence of confinement on phase separation in colloid-polymer mixtures. To describe the particle interactions, the colloid-polymer model of Asakura and Oosawa [J. Chem. Phys. 22, 1255 (1954)] is used. Grand canonical…

Soft Condensed Matter · Physics 2007-05-23 R. L. C. Vink , K. Binder , J. Horbach

We discuss the critical behaviour of 2D Ising and q-states Potts models coupled by their energy density. We found new tricritical points. The procedure employed is the renormalisation approach of the perturbations series around conformal…

Statistical Mechanics · Physics 2009-10-30 P. Simon

We study the equilibrium properties of an Ising model on a disordered random network where the disorder can be quenched or annealed. The network consists of four-fold coordinated sites connected via variable length one-dimensional chains.…

Statistical Mechanics · Physics 2015-06-22 Abdul N. Malmi-Kakkada , Oriol T. Valls , Chandan Dasgupta

We study fluid-fluid phase separation in a colloid-polymer mixture adsorbed in a colloidal porous matrix close to the \theta -point. For this purpose we consider the Asakura-Oosawa model in the presence of a quenched matrix of colloidal…

Soft Condensed Matter · Physics 2015-05-30 Mario Alberto Annunziata , Andrea Pelissetto

We discuss universal and non-universal critical exponents of a three dimensional Ising system in the presence of weak quenched disorder. Both experimental, computational, and theoretical results are reviewed. Special attention is paid to…

Disordered Systems and Neural Networks · Physics 2016-08-31 R. Folk , Yu. Holovatch , T. Yavors'kii

We study FK-percolation where the edge parameters are chosen as independent random variables in the near-critical regime. We show that if these parameters satisfy a natural centering condition around the critical point, then the quenched…

Probability · Mathematics 2025-09-12 Emile Avérous , Rémy Mahfouf

The effect of quenched disorder on non-equilibrium phase transitions in the directed percolation universality class is studied by a strong disorder renormalization group approach and by density matrix renormalization group calculations. We…

Statistical Mechanics · Physics 2009-11-07 Jef Hooyberghs , Ferenc Igloi , Carlo Vanderzande

We study critical spreading dynamics in the two-dimensional contact process (CP) with quenched disorder in the form of random dilution. In the pure model, spreading from a single particle at the critical point $\lambda_c$ is characterized…

Condensed Matter · Physics 2009-10-28 Adriana G. Moreira , Ronald Dickman

In this paper, we study a model of directed polymers in random environment, where the environment is restricted to a time-space tube whose spatial width grows polynomially with time. It can be viewed as an interpolation between the…

Probability · Mathematics 2022-02-23 Ran Wei , Jinjiong Yu