Temperature-extended Jarzynski relation: Application to the numerical calculation of the surface tension

We consider a generalization of the Jarzynski relation to the case where the system interacts with a bath for which the temperature is not kept constant but can vary during the transformation. We suggest to use this relation as a replacement to the thermodynamic perturbation method or the Bennett method for the estimation of the order-order surface tension by Monte Carlo simulations. To demonstrate the feasibility of the method, we present some numerical data for the 3D Ising model

Minority Representations in Crime Drama: An Examination of Roles, Identity, and Power

The storytelling ability of television can be observed in any genre. Crime drama offers a unique perspective because victims and offenders change every episode increasing stereotypes with each new character. In other words, the more victims and criminals observed by the audience, the more likely the show creates the perception of a mean world. Based on previous literature, three questions emerged which this study focused on by asking the extent of Criminal Minds’ ability to portray crime accurately compared to the Federal Bureau of Investigations Uniform Crime Report (UCR) and the Behavioral Analysis Unit’s (BAU-4) report on serial murderers and how those portrayals changed over the fifteen years of the show. A content analysis was conducted through the lens of cultivation theory, coding 324 episodes which produced a sample size of 354 different cases to answer the research questions. Two additional coders focused on the first, middle, and last episodes of each season (N=45) for reliability. The key findings are low levels of realism with the UCR and high levels of realism with the BAU-4 statistics. Mean-world syndrome was found to be highly likely to be cultivated in heavy viewers. Finally, roles for minority groups did improve overtime for Black and Brown bodies, yet Asian bodies saw a very small increase in representation. LGBT members were nearly nonexistent. The findings indicated that there is still not enough space in television for minority roles and found that the show perpetuated stereotypes. Additional implications and themes include a lack discourse on violence and erasure of sexual assault victims

Dynamic critical behaviour in Ising spin glasses

The critical dynamics of Ising spin glasses with Bimodal, Gaussian, and Laplacian interaction distributions are studied numerically in dimensions 3 and 4. The data demonstrate that in both dimensions the critical dynamic exponent $z_{\rm c}$, the non-equilibrium autocorrelation decay exponent $\lambda_c/z_{\rm c}$, and the critical fluctuation-dissipation ratio $X_{\infty}$ all vary strongly and systematically with the form of the interaction distribution.Comment: 8 pages, 4 figures, version to appear in Phys. Rev.

Critical Behavior and Lack of Self Averaging in the Dynamics of the Random Potts Model in Two Dimensions

We study the dynamics of the q-state random bond Potts ferromagnet on the square lattice at its critical point by Monte Carlo simulations with single spin-flip dynamics. We concentrate on q=3 and q=24 and find, in both cases, conventional, rather than activated, dynamics. We also look at the distribution of relaxation times among different samples, finding different results for the two q values. For q=3 the relative variance of the relaxation time tau at the critical point is finite. However, for q=24 this appears to diverge in the thermodynamic limit and it is ln(tau) which has a finite relative variance. We speculate that this difference occurs because the transition of the corresponding pure system is second order for q=3 but first order for q=24.Comment: 9 pages, 13 figures, final published versio

Measuring the fluctuation-dissipation ratio in glassy systems with no perturbing field

A method is presented for measuring the integrated response in Ising spin system without applying any perturbing field. Large-scale simulations are performed in order to show how the method works. Very precise measurements of the fluctuation-dissipation ratio are presented for 3 different Ising models: the 2-dimensional ferromagnetic model, the mean-field diluted 3-spin model, and the 3-dimensional Edwards-Anderson model.Comment: 4 pages, 4 figure

Watersheds are Schramm-Loewner Evolution curves

We show that in the continuum limit watersheds dividing drainage basins are Schramm-Loewner Evolution (SLE) curves, being described by one single parameter $\kappa$. Several numerical evaluations are applied to ascertain this. All calculations are consistent with SLE$_\kappa$, with $\kappa=1.734\pm0.005$, being the only known physical example of an SLE with $\kappa<2$. This lies outside the well-known duality conjecture, bringing up new questions regarding the existence and reversibility of dual models. Furthermore it constitutes a strong indication for conformal invariance in random landscapes and suggests that watersheds likely correspond to a logarithmic Conformal Field Theory (CFT) with central charge $c\approx-7/2$.Comment: 5 pages and 4 figure