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For a large class of field theories there exist portions of parameter space for which the loop expansion predicts increased symmetry breaking at high temperature. Even though this behavior would clearly have far reaching implications for…

High Energy Physics - Theory · Physics 2009-10-28 Thomas G. Roos

We consider the detailed structure of correlations in harmonic chains with pinning and a bulk velocity flip noise during the heat relaxation phase which occurs on diffusive time scales, for $t=O(L^2)$ where $L$ is the chain length. It has…

Mathematical Physics · Physics 2018-01-30 Jani Lukkarinen , Matteo Marcozzi , Alessia Nota

We give a Wong-Zakai type characterisation of the solutions of quasilinear heat equations driven by space-time white noise in $1+1$ dimensions. In order to show that the renormalisation counterterms are local in the solution, a careful…

Probability · Mathematics 2020-05-11 Máté Gerencsér

Circadian rhythms are biological rhythms of approximately 24 h that persist even under constant conditions without environmental daily cues. The molecular circadian clock machinery generates the physiological rhythms, which can be…

Molecular Networks · Quantitative Biology 2022-10-05 Hotaka Kaji , Fumito Mori , Hiroshi Ito

Low-energy effective theories have been used very successfully to study the low-energy limit of QCD, providing us with results for a plethora of phenomena, ranging from bound-state formation to phase transitions in QCD. These theories are…

High Energy Physics - Phenomenology · Physics 2018-06-13 Jens Braun , Marc Leonhardt , Jan M. Pawlowski

The importance of implementing a proper regularization procedure in order to treat thermo and magnetic contributions within nonrenormalizable theories is investigated. Our study suggests that potential divergences should be isolated into…

High Energy Physics - Phenomenology · Physics 2021-03-19 Sidney S. Avancini , Ricardo L. S. Farias , Marcus B. Pinto , Tulio E. Restrepo , William R. Tavares

In this paper, we propose a globally hyperbolic regularization to the general Grad's moment system in multi-dimensional spaces. Systems with moments up to an arbitrary order are studied. The characteristic speeds of the regularized moment…

Mathematical Physics · Physics 2012-03-05 Zhenning Cai , Yuwei Fan , Ruo Li

Daylight plays a major role in the wake/sleep cycle in humans. Indeed, the wake/sleep system stems from biological systems that follow a circadian rhythm determined by the light/dark alternation. The oscillations can be modeled by the…

Biological Physics · Physics 2022-01-13 F. L. Tsafack Tayong , R. Yamapi , G. Filatrella

A perturbative renormalization group approach is employed to study the effect of a periodic potential on a system of one-dimensional bosons in a non-equilibrium steady-state due to an initial interaction quench. The renormalization group…

Strongly Correlated Electrons · Physics 2015-05-30 Aditi Mitra , Thierry Giamarchi

Many biological processes display oscillatory behavior based on an approximately 24 hour internal timing system specific to each individual. One process of particular interest is gene expression, for which several circadian transcriptomic…

Applications · Statistics 2024-12-23 Michael Gorczyca , Tavish McDonald , Justice Sefas

We study the effective parameters of QED near decoupling temperatures and show that the QED perturbative series is convergent, at temperatures below the decoupling temperature. The renormalization constant of QED acquires different values…

High Energy Physics - Theory · Physics 2017-04-26 Samina S. Masood

The mammalian circadian system comprises a network of cell-autonomous oscillators, spanning from the central clock in the brain to peripheral clocks in other organs. These clocks are tightly coordinated to orchestrate rhythmic physiological…

Adaptation and Self-Organizing Systems · Physics 2022-12-29 Yitong Huang , Yuanzhao Zhang , Rosemary Braun

Synchronization is an important dynamical phenomenon in coupled nonlinear systems, which has been studied extensively in recent years. However, analysis focused on individual orbits seems hard to extend to complex systems while a global…

Chaotic Dynamics · Physics 2021-01-04 Jing Hu , Yueheng Lan

The Kuramoto phase diffusion equation is a nonlinear partial differential equation which describes the spatio-temporal evolution of a phase variable in an oscillatory reaction diffusion system. Synchronization manifests itself in a…

Disordered Systems and Neural Networks · Physics 2009-03-30 Ralf Toenjes , Bernd Blasius

We identify the universal mechanism behind the thermalization of (1+1)d QFTs at high and low temperatures. Viewing these theories as CFTs perturbed by relevant or irrelevant deformations, we show that conformal perturbation theory in the…

High Energy Physics - Theory · Physics 2025-07-09 Richard A. Davison , Luca V. Delacretaz

We discuss the use of a Langevin equation with a colored (correlated) noise to perform constant-temperature molecular dynamics simulations. Since the equations of motion are linear in nature, it is easy to predict the response of a…

Statistical Mechanics · Physics 2010-01-04 Michele Ceriotti , Giovanni Bussi , Michele Parrinello

Rhythmic data are ubiquitous in the life sciences. Biologists need reliable statistical tests to identify whether a particular experimental treatment has caused a significant change in a rhythmic signal. When these signals display…

We calculate the finite-temperature shift of the critical wavevector $Q_{c}$ of the Pokrovsky-Talapov model using a renormalization-group analysis. Separating the Hamiltonian into a part that is renormalized and one that is not, we obtain…

Statistical Mechanics · Physics 2010-02-24 A. Lazarides , O. Tieleman , C. Morais Smith

We study the long-term behaviour of solutions to a one-dimensional coupled wave-heat system with Coleman-Gurtin thermal law. Our approach is based on the asymptotic theory of $C_0$-semigroups and recent results developed for coupled control…

Analysis of PDEs · Mathematics 2022-10-05 Filippo Dell'Oro , Lassi Paunonen , David Seifert

Circadian (~24hr) clocks are self-sustained endogenous oscillators with which organisms keep track of daily and seasonal time. Circadian clocks frequently rely on interlocked transcriptional- translational feedback loops to generate rhythms…

Molecular Networks · Quantitative Biology 2016-04-14 Jae Kyoung Kim