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The effect of quenched impurities on systems which undergo first-order phase transitions is studied within the framework of the q-state Potts model. For large q a mapping to the random field Ising model is introduced which provides a simple…

Statistical Mechanics · Physics 2009-10-30 John Cardy , Jesper Lykke Jacobsen

We develop a multi order parameter mean-field formalism for systems of coupled quantum rotors. The scheme is developed to account for systems where {\it ortho-para} distinction is valid. We apply our formalism to solid H$_2$ and D$_2$. We…

Statistical Mechanics · Physics 2008-04-23 Balazs Hetenyi , Sandro Scandolo , Erio Tosatti

We study the prethermal dynamics of an interacting quantum field theory with a N-component order parameter and $O(N)$ symmetry, suddenly quenched in the vicinity of a dynamical critical point. Depending on the initial conditions, the…

Statistical Mechanics · Physics 2017-04-05 Alessio Chiocchetta , Andrea Gambassi , Sebastian Diehl , Jamir Marino

We consider two-dimensional $q$-state quantum clock models with quantum fluctuations connecting states with clock transitions with different choices for matrix elements. We study the quantum phase transitions in these models using quantum…

Strongly Correlated Electrons · Physics 2024-06-21 Pranay Patil , Hui Shao , Anders W. Sandvik

The scaling of the transition temperature into an ordered phase close to a quantum critical point as well as the order parameter fluctuations inside the quantum critical region provide valuable information about universal properties of the…

Strongly Correlated Electrons · Physics 2016-04-29 Stephan Hesselmann , Stefan Wessel

We study a three-dimensional plaquette spin model whose low temperature dynamics is glassy, due to localised defects and effective kinetic constraints. While the thermodynamics of this system is smooth at all temperatures, we show that…

Statistical Mechanics · Physics 2016-02-10 Robert L. Jack , Juan P. Garrahan

We study the transient between a fully disordered initial condition and a percolating structure in the low-temperature non-conserved order parameter dynamics of the bi-dimensional Ising model. We show that a stable structure of spanning…

Statistical Mechanics · Physics 2014-07-17 Thibault Blanchard , Federico Corberi , Leticia F. Cugliandolo , Marco Picco

We elucidate the effects of chiral quenched disorder on the scaling properties of pure systems by considering a reduced model that is a variant of the quenched disordered cubic anisotropic O(N) model near its second order phase transition.…

Statistical Mechanics · Physics 2015-06-15 Niladri Sarkar , Abhik Basu

We develop a linear response theory by computing the asymptotic value of the order parameter from the linearized equation of continuity around the nonsynchronized reference state using the Laplace transform in time. The proposed theory is…

Adaptation and Self-Organizing Systems · Physics 2020-01-09 Yu Terada , Yoshiyuki Y Yamaguchi

We consider paradigmatic quenched disordered quantum spin models, viz., the XY spin glass and random-field XY models, and show that quenched averaged quantum correlations can exhibit the order-from-disorder phenomenon for finite-size…

Quantum Physics · Physics 2016-03-23 Debasis Sadhukhan , R. Prabhu , Aditi Sen De , Ujjwal Sen

We present here the non-equilibrium dynamics of the recently studied quasiperiodic Ising model. The zero temperature phase diagram of this model mainly consists of three phases, where each of these three phases can have extended, localized…

Statistical Mechanics · Physics 2018-09-12 Uma Divakaran

We study phase ordering dynamics in the three-dimensional nearest-neighbor Ising model, following rapid quenches from infinite to zero temperature. Results on various aspects, viz., domain growth, persistence, aging and pattern, have been…

Statistical Mechanics · Physics 2017-04-26 Subir K. Das , Saikat Chakraborty

We discuss the universal scaling laws of order parameter fluctuations in any system in which the second-order critical behavior can be identified. These scaling laws can be derived rigorously for equilibrium systems when combined with the…

Nuclear Theory · Physics 2007-05-23 R. Botet , M. Ploszajczak

We study the ageing properties of the semi-infinite kinetic spherical model at the critical point and in the ordered low-temperature phase, both for Dirichlet and Neumann boundary conditions. The surface fluctuation-dissipation ratio and…

Statistical Mechanics · Physics 2009-11-11 Florian Baumann , Michel Pleimling

Numerical simulations of phase ordering under dissipative dynamics in a (2+1)-dimensional 3-vector model with O(3) symmetry are reported. The energy functional includes terms which stabilize the size of extended topological defects. They…

High Energy Physics - Phenomenology · Physics 2011-07-19 G. Holzwarth , J. Klomfass

Non-equilibrium aspects of the BCS model have fascinated physicists for decades, from the seminal works of Eliashberg to modern realizations in cold atom experiments. The latter scenarios have lead to a great deal of interest in the quench…

Superconductivity · Physics 2021-03-12 Colin Rylands , Victor Galitski

The one-dimensional Oslo model is studied under self-organized criticality (SOC) conditions and under absorbing state (AS) conditions. While the activity signals the phase transition under AS conditions by a sudden increase, this is not the…

Statistical Mechanics · Physics 2009-12-14 Ole Peters , Gunnar Pruessner

We study the synchronization phenomena in a system of globally coupled oscillators with time delay in the coupling. The self-consistency equations for the order parameter are derived, which depend explicitly on the amount of delay. Analysis…

Statistical Mechanics · Physics 2009-10-31 M. Y. Choi , H. J. Kim , D. Kim , H. Hong

We investigate some aspects of the ageing behavior observed in the contact process after a quench from its active phase to the critical point. In particular we discuss the scaling properties of the two-time response function and we…

Statistical Mechanics · Physics 2011-02-16 Florian Baumann , Andrea Gambassi

Quantum many body system in equilibrium can be effectively characterized using the framework of quantum statistical mechanics. However, nonequilibrium behaviour of quantum many body systems remains elusive, out of the range of such a well…

Quantum Physics · Physics 2020-05-14 Bing Chen , Xianfei Hou , Feifei Zhou , Peng Qian , Heng Shen , Nanyang Xu
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