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We introduce a perturbative method to calculate all moments of the first-passage time distribution in stochastic one-dimensional processes which are subject to both white and coloured noise. This class of non-Markovian processes is at the…

统计力学 · 物理学 2021-02-12 Benjamin Walter , Gunnar Pruessner , Guillaume Salbreux

We discuss the statistics of first-passage times of a Brownian particle moving in a highly unstable nonlinear potential proportional to an odd power of position. We observe temperature-induced shortening of the mean first-passage time and…

统计力学 · 物理学 2016-10-18 Artem Ryabov , Pavel Zemanek , Radim Filip

The theory of mesoscopic fluctuations is applied to inhomogeneous solids consisting of chaotically distributed regions with different crystalline structure. This approach makes it possible to describe statistical properties of such mixture…

统计力学 · 物理学 2015-06-25 V. I. Yukalov

Phase transitions generically occur in random matrix models as the parameters in the joint probability distribution of the random variables are varied. They affect all main features of the theory and the interpretation of statistical models…

统计力学 · 物理学 2007-05-23 G. M. Cicuta

We study the kinetics of the first order phase separation transition in boson-fermion cold-atom mixtures. At sufficiently low temperatures such a transition is driven by quantum fluctuations responsible for the formation of critical nuclei…

介观与纳米尺度物理 · 物理学 2009-11-13 Dmitry Solenov , Dmitry Mozyrsky

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…

核理论 · 物理学 2014-11-18 A. Leviatan

Two dimensional crystalline membranes in isotropic embedding space exhibit a flat phase with anomalous elasticity, relevant e.g., for graphene. Here we study their thermal fluctuations in the absence of exact rotational invariance in the…

统计力学 · 物理学 2021-07-07 Pierre Le Doussal , Leo Radzihovsky

Review of selected fundamental topics on the interaction between phase transformations, fracture, and other structural changes in inelastic materials is presented. It mostly focuses on the concepts developed in the author's group over last…

材料科学 · 物理学 2021-08-24 Valery I. Levitas

We study the impact of thermal hysteresis at the first-order structural/ferroelectric phase transitions on the electrocaloric response in bulk BaTiO$_3$ by performing molecular dynamics simulations for a first-principles-based effective…

材料科学 · 物理学 2018-03-14 Madhura Marathe , Claude Ederer , Anna Grünebohm

Phase diagrams of the micromaser system are mapped out in terms of the physical parameters at hand like the atom cavity transit time, the atom-photon frequency detuning, the number of thermal photons and the probability for a pump atom to…

量子物理 · 物理学 2007-05-23 Per K Rekdal , Bo-Sture K Skagerstam

Phase transitions are the macroscopic manifestation of microscopic processes that drive a system towards a new state. The detailed evolution of these processes, particularly in abrupt phase transitions, are currently not fully understood.…

物理与社会 · 物理学 2026-01-21 Leyang Xue , Shengling Gao , Bnaya Gross , Orr Levy , Daqing Li , Zengru Di , Lazaros K. Gallos , Shlomo Havlin

The following is a thermodynamic analysis of a III order (and some aspects of a IV order) phase transition. Such a transition can occur in a superconductor if the normal state is a diamagnet. The equation for a phase boundary in an H-T (H…

超导电性 · 物理学 2016-08-31 Pradeep Kumar

Recently, dynamical phase transitions have been identified based on the non-analytic behavior of the Loschmidt echo in the thermodynamic limit [Heyl et al., Phys.~Rev.~Lett.~{\bf 110}, 135704 (2013)]. By introducing conditional probability…

强关联电子 · 物理学 2015-01-09 Elena Canovi , Philipp Werner , Martin Eckstein

Dynamic phase transitions of the Brusselator model is carefully analyzed, leading to a rigorous characterization of the types and structure of the phase transitions of the model from basic homogeneous states. The study is based on the…

数学物理 · 物理学 2015-05-19 Tian Ma , Shouhong Wang

Understanding the coupling between structural phase transitions and thermal transport is essential for designing functional materials with tunable properties. Here, we investigate this interplay in CaSnF$_6$ by combining first-principles…

材料科学 · 物理学 2026-04-15 Daxue Hao , Hao Huang , Geng Li , Yu Wu , Shuming Zeng

In a physical system, changing parameters such as temperature can induce a phase transition: an abrupt change from one state of matter to another. Analogous phenomena have recently been observed in large language models. Typically, the task…

机器学习 · 计算机科学 2024-05-28 Julian Arnold , Flemming Holtorf , Frank Schäfer , Niels Lörch

We analyze the ways in which the random first order phase transition (RFOT) of the glass transition differs from the well-studied regular first order and second order (or continuous) phase transitions. Just as is the case in the latter two…

统计力学 · 物理学 2024-09-23 T. R. Kirkpatrick , D. Thirumalai

Two known distinct examples of one-dimensional systems which are known to exhibit a phase transition are critically examined: (A) a lattice model with harmonic nearest-neighbor elastic interactions and an on-site Morse potential, and (B)…

统计力学 · 物理学 2007-06-17 N. Theodorakopoulos

When a crystalline solid such as iron is cooled across a structural transition, its final microstructure depends sensitively on the cooling rate. For instance, an adiabatic cooling across the transition results in an equilibrium `ferrite',…

材料科学 · 物理学 2009-11-07 Madan Rao , Surajit Sengupta

Alloys with a first-order magnetic transition are central to solid-state refrigeration technology, sensors and actuators, or spintronic devices. The discontinuous nature of the transition in these materials is a consequence of the coupling…