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A general self-consistency approach allows a thorough treatment of the corrections to the standard mean-field approximation (MFA). The natural extension of standard MFA with the help of a cumulant expansion leads to a new point of view on…

Statistical Mechanics · Physics 2007-05-23 Dimo I. Uzunov

Quantum criticality has attracted considerable attention both theoretically and experimentally as a way to describe part of the phase diagram of strongly correlated systems. A scale-invariant fluctuation spectrum at a quantum critical point…

Strongly Correlated Electrons · Physics 2015-10-28 Stefan Kirchner , Qimiao Si

We consider the problem of the definition of an effective temperature via the long-time limit of the fluctuation-dissipation ratio (FDR) after a quench from the disordered state to the critical point of an O(N) model with dissipative…

Statistical Mechanics · Physics 2011-02-16 Pasquale Calabrese , Andrea Gambassi

We study the fluctuations of the directed polymer in 1+1 dimensions in a Gaussian random environment with a finite correlation length {\xi} and at finite temperature. We address the correspondence between the geometrical transverse…

Statistical Mechanics · Physics 2012-10-03 Elisabeth Agoritsas , Sebastian Bustingorry , Vivien Lecomte , Gregory Schehr , Thierry Giamarchi

We solve the dynamics of an ensemble of interacting rotors coupled to two leads at different chemical potential letting a current flow through the system and driving it out of equilibrium. We show that at low temperature the coarsening…

Disordered Systems and Neural Networks · Physics 2015-03-17 Camille Aron , Giulio Biroli , Leticia F. Cugliandolo

We study the behaviour of ultracold bosonic gas in the critical region above the Bose-Einstein condensation in the presence of an artificial magnetic field, $B_\mathrm{art}$. We show that the condensate fluctuations above the critical…

Quantum Gases · Physics 2016-06-01 Arvid J. Kingl , D. M. Gangardt , Igor V. Lerner

When an isolated quantum system is driven out of equilibrium, expectation values of general observables start oscillating in time. This article reviews the general theory of such temporal fluctuations. We first survey some results on the…

Statistical Mechanics · Physics 2015-09-02 Lorenzo Campos Venuti , Paolo Zanardi

We study the optimal performance of a three-level quantum refrigerator using two different objective functions: cooling power and $\chi$-function. For both cases, we obtain general expressions for the coefficient of performance (COP) and…

Statistical Mechanics · Physics 2020-07-01 Varinder Singh , Tanmoy Pandit , Ramandeep S. Johal

Thermal fluctuations can play an important role in the buckling of elastic objects at small scales, such as polymers or nanotubes. In this paper, we study the finite-temperature buckling transition of an extensible rod by analyzing…

Soft Condensed Matter · Physics 2016-01-06 Deshpreet Singh Bedi , Xiaoming Mao

An important problem in contemporary physics concerns quantum-critical fluctuations in metals. A scaling function for the momentum, frequency, temperature and magnetic field dependence of the correlation function near a 2D-ferromagnetic…

Strongly Correlated Electrons · Physics 2018-02-28 Chandra M. Varma , W. J. Gannon , M. C. Aronson , J. A. Rodriguez-Rivera , Y. Qiu

We revisit the problem of inelastic times governing the temperature behavior of the weak localization correction and mesoscopic fluctuations in one- and two-dimensional systems. It is shown that, for dephasing by the electron electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. L. Aleiner , Ya. M. Blanter

Critical phenomena of ferromagnetic transition at finite temperatures are studied in double-exchange systems. In order to investigate strong interplay between charge and spin degrees of freedom, Monte Carlo technique is applied to include…

Strongly Correlated Electrons · Physics 2009-11-07 Yukitoshi Motome , Nobuo Furukawa

We study the effects of thermal fluctuations on a small elastic ring. We derive analytical expressions for the correlation functions of the Euler angles, for the real space two--point correlation functions and for the probability…

Soft Condensed Matter · Physics 2007-05-23 Y. Rabin , S. Panyukov

We study the fluctuations of a Brownian micro particle trapped with optical tweezers in a gelatin solution undergoing a fast local temperature quench below the sol-gel transition. Contrary to what was previously reported, we observe no…

Statistical Mechanics · Physics 2019-09-06 Antoine Bérut , Artyom Petrosyan , Juan Ruben Gomez-Solano , Sergio Ciliberto

We study the off-equilibrium response and correlation functions and the corresponding fluctuation-dissipation ratio for a purely dissipative relaxation of an O(N) symmetric vector model (Model A) below its upper critical dimension. The…

Statistical Mechanics · Physics 2008-12-18 Pasquale Calabrese , Andrea Gambassi

By high temperature series expansion, exact diagonalisation and temperature density-matrix renormalisation the magnetic susceptibility $\chi(T)$ and the specific heat $C(T)$ of dimerised and frustrated $S=1/2$ chains are computed. All three…

Statistical Mechanics · Physics 2009-11-07 Alexander Bühler , Ute Löw , Götz S. Uhrig

We perform Brownian dynamics simulations of semiflexible colloidal sheets with hydrodynamic interactions and thermal fluctuations in shear flow. As a function of the ratio of bending rigidity to shear energy (a dimensionless quantity we…

Soft Condensed Matter · Physics 2021-10-22 Kevin S. Silmore , Michael S. Strano , James W. Swan

The paramagnetic-to-ferromagnetic phase transition is believed to proceed through a critical point, at which power laws and scaling invariance, associated with the existence of one diverging characteristic length scale -- the so called…

Statistical Mechanics · Physics 2016-03-15 N. Saratz , D. A. Zanin , U. Ramsperger , S. A. Cannas , D. Pescia , A. Vindigni

We calculate the temperature dependence of the weak localization correction in a two dimensional system at arbitrary relation between temperature, $T$ and the elastic mean free time. We describe the crossover in the dephasing time…

Disordered Systems and Neural Networks · Physics 2016-01-11 B. N. Narozhny , Gábor Zala , I. L. Aleiner

We study a model in 2+1 dimensions composed of a Fermi surface of $N_f$ flavors of fermions coupled to scalar fluctuations near quantum critical points (QCPs). The $N_f\rightarrow0$ limit allows us to non-perturbatively calculate the…

Strongly Correlated Electrons · Physics 2021-03-17 Petter Säterskog