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We present a study of the phase diagram of a random optimization problem in presence of quantum fluctuations. Our main result is the characterization of the nature of the phase transition, which we find to be a first-order quantum phase…

Disordered Systems and Neural Networks · Physics 2010-05-24 T. Jorg , F. Krzakala , G. Semerjian , F. Zamponi

Weak first-order phase transitions proceed with percolation of new phase. The kinematics of this process is clarified from the point of view of subcritical bubbles. We examine the effect of small subcritical bubbles around a large domain of…

High Energy Physics - Theory · Physics 2009-10-30 Tetsuya Shiromizu , Masahiro Morikawa

We investigated the bubble collisions during the first order phase transitions. Numerical results indicate that within the certain range of parameters the collision of two bubbles leads to formation of separate relatively long-lived…

High Energy Physics - Theory · Physics 2007-05-23 I. Dymnikova , L. Koziel , M. Khlopov , S. Rubin

A new simple method for the first order phase transition kinetics is suggested. The metastable phase consumption can be imagined in frames of the modisperse approximation for the distribution of the droplets sizes. In all situations of the…

Atmospheric and Oceanic Physics · Physics 2007-05-23 V. Kurasov

Two dimensional Potts model is a classical example where the symmetry of the order parameter controls the order of a phase transition: on a square lattice with nearest-neighbours interaction, when the number of states $q$ is less than or…

Statistical Mechanics · Physics 2026-02-18 Petro Sarkanych

As the density of matter increases, atomic nuclei disintegrate into nucleons and, eventually, the nucleons themselves disintegrate into quarks. The phase transitions (PT's) between these phases can vary from steep first order to smooth…

Nuclear Theory · Physics 2017-09-29 Veronica Dexheimer , Matthias Hempel , Igor Iosilevskiy , Stefan Schramm

The properties of the first-order phase transition in a set of plasma models with common feature - absence of individual correlations between charges of op-posite sign, have been studied. Predicted discontinuities in equilibrium non-uniform…

Plasma Physics · Physics 2007-05-23 Igor L. Iosilevski , Alexander Yu. Chigvintsev

Domain wall networks are two-dimensional topological defects generally predicted in many beyond standard model physics. In this Letter, we propose to solve the domain wall problem with the first-order phase transition. We numerically study…

High Energy Physics - Phenomenology · Physics 2023-04-12 Yang Li , Ligong Bian , Yongtao Jia

We conjecture that there exists a relationship between Lyapunov exponents and black hole phase transitions. To support our conjecture, Lyapunov exponents of the motion of particles and ring strings are calculated for…

General Relativity and Quantum Cosmology · Physics 2022-09-07 Xiaobo Guo , Yuhang Lu , Benrong Mu , Peng Wang

Kinetics of the first order phase transition has been investigated. The case when the droplets sizes have a limit value is considered. An analytical theory for such process has been constructed and all main characteristics of the process…

Statistical Mechanics · Physics 2007-05-23 V. Kurasov

We derivate the Langevin and the Fokker-Planck equations for the radius of $O(3)$-symmetric subcritical bubbles as a phenomenological model to treat thermal fluctuation. The effect of thermal noise on subcritical bubbles is examined. We…

Astrophysics · Physics 2009-10-28 Tetsuya Shiromizu , Masahiro Morikawa , Jun'ichi Yokoyama

We quantize subcritical bubbles which are formed in the weakly first order phase transition. We find that the typical size of the thermal fluctuation reduces in the quantum-statistical physics. We estimate the typical size and the amplitude…

High Energy Physics - Phenomenology · Physics 2009-10-28 Tomoko Uesugi , Masahiro Morikawa , Tetsuya Shiromizu

Cellular differentiation and evolution are stochastic processes that can involve multiple types (or states) of particles moving on a complex, high-dimensional state-space or "fitness" landscape. Cells of each specific type can thus be…

Populations and Evolution · Quantitative Biology 2014-11-17 Tom Chou , Yu Wang

In the traditional view a cosmic first-order phase transition cannot occur without nucleating handful of bubbles in the entire Hubble volume. The presence of domain walls during the transition may, however, significantly alter the dynamics…

High Energy Physics - Phenomenology · Physics 2024-01-18 Dongdong Wei , Haibin Chen , Qiqi Fan , Yun Jiang

For transport processes in geometrically restricted domains, the mean first-passage time (MFPT) admits a general scaling dependence on space parameters for diffusion, anomalous diffusion, and diffusion in disordered or fractal media. For…

Statistical Mechanics · Physics 2015-06-05 Eric Akkermans , Olivier Benichou , Gerald Dunne , Alexander Teplyaev , Raphael Voituriez

If the mass of dark matter is generated from a cosmological phase transition involving the nucleation of bubbles, the corresponding bubble walls can filter out dark matter particles during the phase transition. Only particles with…

High Energy Physics - Phenomenology · Physics 2020-05-20 Dongjin Chway , Tae Hyun Jung , Chang Sub Shin

Statistical physics can describe the behavior of microbial populations consisting of many heterogeneous individuals. A direct consequence is the existence of phase transitions, where the behavior of a population changes discontinuously upon…

Populations and Evolution · Quantitative Biology 2026-04-20 Kaan Öcal , Syrine Ghrabli , Michael P. H. Stumpf

The First Passage Time (FPT) is the time taken for a stochastic process to reach a desired threshold. In this letter we address the FPT of the stochastic measurement current in the case of continuously measured quantum systems. Our approach…

Quantum Physics · Physics 2024-08-08 Michael J. Kewming , Anthony Kiely , Steve Campbell , Gabriel T. Landi

Strongly supercooled first-order phase transitions have been proposed as a primordial black hole (PBH) production mechanism. While previous works rely on simplified models with limited thermodynamic precision, we stress that reliable…

High Energy Physics - Phenomenology · Physics 2026-05-25 Maciej Kierkla , Nicklas Ramberg , Philipp Schicho , Daniel Schmitt

We study whether a first-order phase transition at the end of inflation can generate the observed dark matter abundance through bubble collisions. The transition occurs in a spectator scalar sector with an inflaton-dependent effective…

High Energy Physics - Phenomenology · Physics 2026-05-06 Zihong Cheng , Fa Peng Huang