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Interesting theoretical problems of target search or threshold crossing, formally known as {\it first passage}, often arise in both diffusive transport problems as well as problems of chemical reaction kinetics. We study three systems…

Statistical Mechanics · Physics 2025-10-22 Hillol Kumar Barman , Pathik Das , Syed Yunus Ali

To describe the nonequilibrium states of a system we introduce a new thermodynamic parameter - the lifetime (the first passage time) of a system. The statistical distributions that can be obtained out of the mesoscopic description…

Chemical Physics · Physics 2007-05-23 V. V. Ryazanov

We study the role of noise on the nature of the transition to collective motion in dry active matter. Starting from field theories that predict a continuous transition at the deterministic level, we show that fluctuations induce a…

Soft Condensed Matter · Physics 2021-04-12 David Martin , Hugues Chaté , Cesare Nardini , Alexandre Solon , Julien Tailleur , Frédéric van Wijland

Second-order phase transitions are characterised by critical scaling and universality. The singular behaviour of thermodynamic quantities at the transition, in particular, is determined by critical exponents of the universality class of the…

A family of nonequilibrium kinetic Ising models, introduced earlier, evolving under the competing effect of spin flips at {\it zero temperature} and nearest neighbour random spin exchanges is further investigated here. By increasing the…

Condensed Matter · Physics 2009-10-28 N. Menyhard , G. Odor

A coagulation-decoagulation model is introduced on a chain of length L with open boundary. The model consists of one species of particles which diffuse, coagulate and decoagulate preferentially in the leftward direction. They are also…

Statistical Mechanics · Physics 2009-11-10 Farhad H Jafarpour

We study dissipative phase transition near the critical point for a system with two-photon driving and nonlinear dissipation. The proposed mean-field theory, which explicitly takes into account quantum fluctuations, allowed us to describe…

Quantum Physics · Physics 2022-08-02 V. Yu. Mylnikov , S. O. Potashin , G. S. Sokolovskii , N. S. Averkiev

In this paper, we exactly solve, within the grand canonical ensemble, a minimal spin model with the hybrid phase transition. We call the model "diffusion-based" because its hamiltonian can be recovered from a simple dynamic procedure, which…

Statistical Mechanics · Physics 2016-07-13 Agata Fronczak , Piotr Fronczak

Development of thermodynamic induction up to second order gives a dynamical bifurcation for thermodynamic variables and allows for the prediction and detailed explanation of nonequilibrium phase transitions with associated spontaneous…

Statistical Mechanics · Physics 2021-10-07 S. N. Patitsas

We consider the phase transition in a model which consists of a Ginzburg-Landau free energy for superconductors including a Chern-Simons term. The mean field theory of Halperin, Lubensky and Ma [Phys. Rev. Lett. 32, 292 (1974)] is applied…

Superconductivity · Physics 2010-12-17 A. P. C. Malbouisson , F. S. Nogueira , N. F. Svaiter

Transitions between nonequilibrium steady states obey a generalized Clausius inequality, which becomes an equality in the quasistatic limit. For slow but finite transitions, we show that the behavior of the system is described by a response…

Statistical Mechanics · Physics 2016-06-20 Dibyendu Mandal , Christopher Jarzynski

We study the interplay between regular and chaotic dynamics at the critical point of a generic first-order quantum phase transition in an interacting boson model of nuclei. A classical analysis reveals a distinct behavior of the coexisting…

Nuclear Theory · Physics 2011-10-13 M. Macek , A. Leviatan

Nonequlibrium phase transition of an open Takayama-Lin Liu-Maki chain coupled with two reservoirs is investigated by combining a mean-field approximation and a formula characterizing nonequlibrium steady states, which is obtained from the…

Statistical Mechanics · Physics 2013-09-24 Shigeru Ajisaka , Hisashi Nishimura , Shuichi Tasaki , Ichiro Terasaki

The equilibrium properties of classical self-gravitating systems in the grand canonical ensemble are studied by using the correspondence with an euclidean field theory with infrared and ultraviolet cutoffs. It is shown that the system…

Astrophysics · Physics 2007-05-23 Victor Laliena

In many systems in condensed matter physics and quantum field theory, first order phase transitions are initiated by the nucleation of bubbles of the stable phase. Traditionally, this process is described by the semiclassical nucleation…

Statistical Mechanics · Physics 2007-05-23 Gernot Münster , Sergei B. Rutkevich

We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model, which is driven with a pulsed electric field of finite duration. In order to go beyond a mean-field treatment of the electronic…

Strongly Correlated Electrons · Physics 2023-01-03 Alexander Osterkorn , Stefan Kehrein

The dynamics at the critical-point of a general first-order quantum phase transition in a finite system is examined, from an algebraic perspective. Suitable Hamiltonians are constructed whose spectra exhibit coexistence of states…

Nuclear Theory · Physics 2014-11-18 A. Leviatan

A hybrid Potts model where a random concentration $p$ of the spins assume $q_0$ states and a random concentration $1-p$ of the spins assume $q>q_0$ states is introduced. It is known that when the system is homogeneous, with an integer spin…

Statistical Mechanics · Physics 2022-05-03 Nir Schreiber , Reuven Cohen , Gideon Amir , Simi Haber

By applying effective medium-style calculations to random spring networks, we demonstrate that internal stresses fundamentally alter the nature of the rigidity transition in disordered materials, changing it from continuous to first-order…

Materials Science · Physics 2009-11-11 D. A. Head

A quenched second order phase transition is modeled by an effective $\Phi^4$-theory with a time-dependent Hamiltonian $\hat{H} (t)$, whose symmetry is broken spontaneously in time. The quantum field evolves out of equilibrium…

High Energy Physics - Phenomenology · Physics 2009-11-07 Sang Pyo Kim , Supratim Sengupta , F. C. Khanna