Deletion log

Below is a list of the most recent deletions.

• 18:44, 14 January 2026 Lptmswikids talk contribs deleted page L-1-new (content was: "<strong>Goal: </strong> Spin glass transition. From the experiments with the anomaly on the magnetic susceptibility to order parameter of the transition. We will discuss the arguments linked to extreme value statistics * Random energy model * Detour: Extreme Value Statistics * A Concrete Example: The Gaussian Case * The Scaling Form in the Large ''M'...", and the only contributor was "Lptmswikids" (talk))
• 18:36, 14 January 2026 Lptmswikids talk contribs deleted page The Scaling Form in the Large ''M'' Limit (content was: "In the spirit of the central limit theorem, we look for a scaling form: <center> <math>E_{\min} = a_M + b_M z</math> </center> The constants <math>a_M</math> and <math>b_M</math> absorb the dependence on <math>M</math>, while the random variable <math>z</math> is distributed according to a probability distribution <math>P(z)</math> that does not depend on <math>M</...", and the only contributor was "Lptmswikids" (talk))
• 18:35, 14 January 2026 Lptmswikids talk contribs deleted page The SK model (content was: "== The SK model == Sherrington and Kirkpatrik considered the fully connected version of the model with Gaussian couplings: <center> <math> E= - \sum_{i,j} \frac{J_{ij}}{ \sqrt{N}} \sigma_i \sigma_j </math></center> At the inverse temperature <math> \beta </math>, the partion function of the model is <center> <math> Z= \sum_{\alpha=1}^{2^N} z_{\alpha}, \quad \te...", and the only contributor was "Lptmswikids" (talk))
• 18:35, 14 January 2026 Lptmswikids talk contribs deleted page Test-qin (content was: "=Detour: Extreme Value Statistics= Consider the REM spectrum of <math>M</math> energies <math>E_1, \dots, E_M</math> drawn from a distribution <math>p(E)</math>. It is useful to introduce the cumulative probability of finding an energy smaller than ''E'' <center> <math>P(E) = \int_{-\infty}^E dx \, p(x)</math> </center> We also define: <center> <math>E_{\min} = \...", and the only contributor was "Lptmswikids" (talk))
• 18:35, 14 January 2026 Lptmswikids talk contribs deleted page More general REM and systems in Finite dimensions (content was: "In random energy models with i.i.d. random variables, the distribution <math>p(E)</math> determines the dependence of <math>a_M</math> and <math>b_M</math> on ''M'', and consequently their scaling with ''N'', the number of degrees of freedom. It is insightful to consider a more general case where an exponent <math>\omega</math> describes the fluctuations of the gro...", and the only contributor was "Lptmswikids" (talk))
• 18:35, 14 January 2026 Lptmswikids talk contribs deleted page Phase Transition in the Random Energy Model (content was: "The Random Energy Model (REM) exhibits two distinct phases: * '''High-Temperature Phase:''' : At high temperatures, the system is in a paramagnetic phase where the entropy is extensive, and the occupation probability of a configuration is approximately <math>\sim 1/M</math>. * '''Low-Temperature Phase:''' : Below a critical freezing temperature <math>T_f</m...", and the only contributor was "Lptmswikids" (talk))
• 18:34, 14 January 2026 Lptmswikids talk contribs deleted page Random energy model (content was: "The solution of the Sherrington-Kirkpatrick (SK) model is challenging. To make progress, we first study the Random Energy Model (REM), introduced by B. Derrida. This model simplifies the problem by neglecting correlations between the <math>M=2^N</math> configurations and assuming that the energies <math>E_{\alpha}</math> are independent and identically distributed...", and the only contributor was "Lptmswikids" (talk))
• 18:34, 14 January 2026 Lptmswikids talk contribs deleted page Spin glass Transition (content was: "Spin glass behavior was first observed in experiments with non-magnetic metals (such as Cu, Fe, Au, etc.) doped with a small percentage of magnetic impurities, typically Mn. At low doping levels, the magnetic moments of Mn atoms interact via the Ruderman–Kittel–Kasuya–Yosida (RKKY) interaction. This interaction has a random sign due to the random spatial dist...", and the only contributor was "Lptmswikids" (talk))
• 18:33, 14 January 2026 Lptmswikids talk contribs deleted page Edwards Anderson order parameter (content was: "Since <math>\overline{J} = 0</math>, the model does not exhibit spatial magnetic order, such as ferromagnetic or antiferromagnetic order. Instead, the idea is to distinguish between two phases: * Paramagnetic phase: Configurations are explored with all possible spin orientations. * Spin glass phase: Spin orientations are random but frozen (i.e., immobile). The gla...", and the only contributor was "Lptmswikids" (talk))
• 18:32, 14 January 2026 Lptmswikids talk contribs deleted page Edwards Anderson model (content was: "The first significant theoretical attempt to describe spin glasses is the Edwards-Anderson model. For simplicity, we will consider the Ising version of this model. Ising spins take two values, <math>\sigma_i = \pm 1</math>, and are located on a lattice with <math>N</math> sites, indexed by <math>i = 1, 2, \ldots, N</math>. The energy of the system is expressed as a...", and the only contributor was "Lptmswikids" (talk))
• 18:32, 14 January 2026 Lptmswikids talk contribs deleted page Detour: Extreme Value Statistics (content was: "Consider the <math>M</math> energies <math>E_1, \dots, E_M</math> as independent and identically distributed (i.i.d.) random variables drawn from a distribution <math>p(E)</math>. It is useful to introduce the cumulative probability of finding an energy smaller than ''E'': <center> <math>P^<(E) = \int_{-\infty}^E dx \, p(x)</math> </center> The complementary proba...", and the only contributor was "Lptmswikids" (talk))
• 18:32, 14 January 2026 Lptmswikids talk contribs deleted page Density above the minimum (content was: "'''Definition of <math> n(x) </math>:''' Given a realization, <math> n(x) </math> is defined as the number of random variables above the minimum <math>E_{\min} </math> such that their value is smaller than <math>E_{\min} +x</math>. This quantity is a random variable, and we are interested in its average value: <center><math> \overline{n(x)} = \sum_k k \, \text{Pr...", and the only contributor was "Lptmswikids" (talk))
• 18:32, 14 January 2026 Lptmswikids talk contribs deleted page Behavior in Different Phases (content was: "* '''High-Temperature Phase (<math> T > T_f= b_M = 1/\sqrt{2 \log2}</math>):''' : In this regime, the weight of the excited states diverges. This indicates that the ground state is not deep enough to render the system glassy. * '''Low-Temperature Phase (<math> T < T_f= b_M = 1/\sqrt{2 \log2}</math>):''' : In this regime, the integral is finite: <center> <m...", and the only contributor was "Lptmswikids" (talk))
• 18:29, 14 January 2026 Lptmswikids talk contribs deleted page Back to the REM (content was: "Returning now to the Random Energy Model (REM), recall that for each realization of disorder, we obtain <math>M=2^N</math> Gaussian random variables with zero mean and variance <math>\sigma^2_M = \frac{\log M}{\log 2} = N</math>. The minimum energy is a random variable belonging to the Gumbel universality class. From the results for <math>a_M </math> and <math>b_M<...", and the only contributor was "Lptmswikids" (talk))
• 18:29, 14 January 2026 Lptmswikids talk contribs deleted page A Concrete Example: The Gaussian Case (content was: "To understand how a universal scaling form emerges, let us analyze in detail the case of a Gaussian distribution with zero mean and variance <math>\sigma^2</math>. Using integration by parts, we can write : <center> <math>P^<(E) = \int_{-\infty}^E \frac{dx}{\sqrt{2 \pi \sigma^2}} \, e^{-\frac{x^2}{2 \sigma^2}} = \frac{1}{2\sqrt{\pi}} \int_{\frac{E^2}{2 \sigma^2}}^{...", and the only contributor was "Lptmswikids" (talk))
• 15:42, 23 March 2025 Ros talk contribs deleted page File:2024 TD9 solutions.pdf
• 16:02, 19 March 2025 Ros talk contribs deleted page File:Self energies, decay rates and all that.pdf
• 15:58, 19 March 2025 Ros talk contribs deleted page File:Self energies, decay rates and all that.pdf
• 20:23, 16 March 2025 Ros talk contribs deleted page File:2024 TD8 solutions.pdf
• 11:40, 12 March 2025 Ros talk contribs deleted page File:2024 TD7 solutions.pdf
• 16:19, 2 March 2025 Ros talk contribs deleted page File:2025 P6 solutions .pdf
• 16:15, 2 March 2025 Ros talk contribs deleted page File:2025 P6 solutions .pdf
• 16:13, 2 March 2025 Ros talk contribs deleted page File:2025 P6 solutions .pdf
• 15:46, 2 March 2025 Ros talk contribs deleted page File:2025 Parisi scheme.pdf
• 15:41, 2 March 2025 Ros talk contribs deleted page File:2025 parisi scheme.pdf
• 16:41, 26 February 2025 Ros talk contribs deleted page File:The Parisi Scheme.pdf
• 16:03, 26 February 2025 Ros talk contribs deleted page File:2024 TD5 solutions.pdf
• 16:01, 26 February 2025 Ros talk contribs deleted page File:2024 TD6 solutions .pdf
• 19:57, 9 February 2025 Ros talk contribs deleted page File:2025 P2 solutions.pdf
• 19:57, 9 February 2025 Ros talk contribs deleted page File:2025 P4 solutions.pdf
• 20:51, 26 January 2025 Ros talk contribs deleted page File:2024 TD2 solutions.pdf
• 20:49, 26 January 2025 Ros talk contribs deleted page File:2024 TD1 solutions.pdf
• 10:52, 15 September 2024 Ros talk contribs deleted page File:2024 TD2 solutions.pdf
• 10:38, 15 September 2024 Ros talk contribs deleted page File:2024 TD2 solutions.pdf
• 18:39, 31 January 2024 Ros talk contribs deleted page File:TD1 solutions.pdf
• 18:39, 31 January 2024 Ros talk contribs deleted page File:TD 2 - REM - solutions 2.pdf
• 18:35, 31 January 2024 Ros talk contribs deleted page File:TD1 solutions.pdf (Deleted old revision 20240131163511!TD1_solutions.pdf)
• 11:15, 29 January 2024 Ros talk contribs deleted page File:TD1 solutions.pdf (Deleted old revision 20240129091505!TD1_solutions.pdf)
• 12:53, 28 January 2024 Ros talk contribs deleted page File:TD1 Solutions.pdf
• 12:48, 28 January 2024 Ros talk contribs deleted page File:TD1 Solutions.pdf
• 12:46, 28 January 2024 Ros talk contribs deleted page File:TD1 Solutions.pdf
• 23:14, 24 January 2024 Ros talk contribs deleted page File:SketchRSB.png
• 23:13, 24 January 2024 Ros talk contribs deleted page File:SketchRSB.png
• 23:11, 24 January 2024 Ros talk contribs deleted page File:SketchRSB.png
• 18:19, 21 January 2024 Ros talk contribs deleted page File:Entropy REM.png
• 18:17, 19 January 2024 Ros talk contribs deleted page File:TD1 - REM - Solutions.pdf
• 18:17, 19 January 2024 Ros talk contribs deleted page File:TD3 Solutions.pdf
• 18:17, 19 January 2024 Ros talk contribs deleted page File:TD5 Solutions.pdf
• 18:17, 19 January 2024 Ros talk contribs deleted page File:Homeworks1.pdf
• 18:16, 19 January 2024 Ros talk contribs deleted page File:TD4 Solutions.pdf