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The aim of this paper is to investigate the distribution of a continuous homopolymer in the presence of an attractive finitely supported potential. The most intricate behavior can be observed if we simultaneously vary two parameters: the…

Probability · Mathematics 2013-01-23 Leonid Koralov , Zsolt Pajor-Gyulai

In this paper we look at the pinning of a directed polymer by a one-dimensional linear interface carrying random charges. There are two phases, localized and delocalized, depending on the inverse temperature and on the disorder bias. Using…

Probability · Mathematics 2013-06-17 Dimitris Cheliotis , Frank den Hollander

We propose a model for two $(d+1)$-dimensional directed polymers subjected to a mutual $\delta$-function interaction with a random coupling constant, and present an exact renormalization group study for this system. The exact…

Condensed Matter · Physics 2009-10-22 Sutapa Mukherji , Somendra M. Bhattacharjee

We examine how corrections to $S$-state energy levels, $ E_{nS}$, in hydrogenic atoms due to the finite proton size are affected by moments of the proton charge distribution. The corrections to $E_{nS}$ are computed moment by moment. The…

High Energy Physics - Phenomenology · Physics 2016-01-27 Jesse R. Stryker , Gerald A. Miller

We study the Casimir-Polder interaction at finite temperatures between a polarizable small, anisotropic particle and a non-planar surface using a derivative expansion. We obtain the leading and the next-to-leading curvature corrections to…

Quantum Physics · Physics 2015-05-20 Giuseppe Bimonte , Thorsten Emig

Using lattice perturbation theory at finite temperature, we compute for staggered fermions the one-loop fermionic corrections to the spatial and temporal plaquette couplings as well as the leading $Z_N$ symmetry breaking coupling. Numerical…

High Energy Physics - Lattice · Physics 2009-10-28 Peter N. Meisinger , Michael C. Ogilvie

We consider the finite temperature Casimir force acting on two parallel plates in a closed cylinder with the same cross section of arbitrary shape in the presence of extra dimensions. Dirichlet boundary conditions are imposed on one plate…

High Energy Physics - Theory · Physics 2017-08-23 L. P. Teo , K. Kirsten

We investigate the impact of finite volume effects on the critical number of flavours, N_f^c, for chiral symmetry restoration in QED3. To this end we solve a set of coupled Dyson-Schwinger equations on a torus. For order parameters such as…

High Energy Physics - Phenomenology · Physics 2009-04-08 Tobias Goecke , Christian S. Fischer , Richard Williams

We consider thermal QCD in the large N_C limit, mainly in 1+1 dimensions. The gauge coupling is only taken into account to minimal order, by projection onto colour singlets. An expression for the free energy, exact as N_C goes to infinity,…

High Energy Physics - Phenomenology · Physics 2016-09-06 Joakim Hallin , David Persson

We calculate the partition function for "composite particles". For any finite number of states d, and in the following two cases: 1)all states have the same energy, 2)the energy is linearly distributed over the states, we transform the…

Condensed Matter · Physics 2007-05-23 M. Bergère

For a non-interacting Bose gas on a lattice we compute the shift of the critical temperature for condensation when random-bond and onsite disorder are present. We evidence that the shift depends on the space dimensionality D and the filling…

Statistical Mechanics · Physics 2011-08-25 L. Dell'Anna , S. Fantoni , P. Sodano , A. Trombettoni

We propose the finite-size scaling of correlation function in a finite system near its critical point. At a distance ${\bf r}$ in the finite system with size $L$, the correlation function can be written as the product of $|{\bf…

Statistical Mechanics · Physics 2018-06-01 Xin Zhang , Gaoke Hu , Yongwen Zhang , Xiaoteng Li , Xiaosong Chen

We study a random circuit model of constrained fracton dynamics, in which particles on a one-dimensional lattice undergo random local motion subject to both charge and dipole moment conservation. The configuration space of this system…

Statistical Mechanics · Physics 2023-02-08 Calvin Pozderac , Steven Speck , Xiaozhou Feng , David A. Huse , Brian Skinner

We consider the fluctuations of the free energy of positive temperature directed polymers in thin rectangles (N,N^{\alpha}), \alpha < 3/14. For general weight distributions with finite fourth moment we prove that the distribution of these…

Probability · Mathematics 2012-04-30 Antonio Auffinger , Jinho Baik , Ivan Corwin

Finite size fluctuations are a crucial ingredient in kinetic theory of long-range interacting collisionless systems. In this Letter, we introduce a phenomenological theory which predicts an anomalous scaling close to marginal stability for…

Statistical Mechanics · Physics 2026-03-19 Yoshiyuki Y. Yamaguchi , Julien Barré

We study (analytic) finite-size corrections in the dense polymer model on the strip by perturbing the critical Hamiltonian with irrelevant operators belonging to the tower of the identity. We generalize the perturbation expansion to include…

High Energy Physics - Theory · Physics 2015-05-28 Nickolay Sh. Izmailian , Philippe Ruelle , Chin-Kun Hu

We consider a one-dimensional directed polymer in a random potential which is characterized by the Gaussian statistics with the finite size local correlations. It is shown that the well-known Kardar's solution obtained originally for a…

Statistical Mechanics · Physics 2009-10-30 S. E. Korshunov , Vik. S. Dotsenko

We investigate the scaling behavior of the critical temperature of anisotropic QED in 2+1 dimensions with respect to a variation of the number of fermions N_f. To this end we determine the order parameter of the chiral transition of the…

High Energy Physics - Phenomenology · Physics 2012-11-12 Jacqueline A. Bonnet , Christian S. Fischer

The interest in the topological properties of materials brings into question the problem of topological phase transitions. As a control parameter is varied, one may drive a system through phases with different topological properties. What…

Strongly Correlated Electrons · Physics 2019-03-05 Mucio A. Continentino , Sabrina Rufo , Griffith M. Rufo

The explicit thermodynamic functions, in particular, the specific heat of a spin system interacting with a spin bath which exerts finite dissipation on the system are determined. We show that the specific heat is a sum of the products of a…

Quantum Physics · Physics 2013-04-29 Sudarson Sekhar Sinha , Arnab Ghosh , Deb Shankar Ray
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