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authorJaron Kent-Dobias <jaron@kent-dobias.com>2021-07-02 17:10:44 +0200
committerJaron Kent-Dobias <jaron@kent-dobias.com>2021-07-02 17:10:44 +0200
commit30d0fee3be1b899e93c5af7cf9de585071bacd44 (patch)
treec7dbb06c658b62e6ea0cf733f74b23d4588edbe7 /ciamarra.cpp
parente3088a1fed1de270767ed011a1ea20c383b7f881 (diff)
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Work on the Ciamarra model.
Diffstat (limited to 'ciamarra.cpp')
-rw-r--r--ciamarra.cpp85
1 files changed, 58 insertions, 27 deletions
diff --git a/ciamarra.cpp b/ciamarra.cpp
index 7d7c8af..d1087a4 100644
--- a/ciamarra.cpp
+++ b/ciamarra.cpp
@@ -36,6 +36,7 @@ public:
template <unsigned D>
class CiamarraSystem : public HardSystem<D, CiamarraState<D>> {
+ public:
using HardSystem<D, CiamarraState<D>>::HardSystem;
std::list<std::reference_wrapper<Vertex<D, CiamarraState<D>>>>
@@ -83,6 +84,38 @@ class CiamarraSystem : public HardSystem<D, CiamarraState<D>> {
}
}
}
+
+ /* For the Ciamarra system, position within sites must be specially acconted
+ * for in the scattering function. We therefore expand the lattice and add
+ * the state when setting positions, so as later to be able to take particle
+ * sublattice positions into account.
+ * */
+ void setInitialPosition() override {
+ CiamarraSystem::orientation = Transformation<D>(CiamarraSystem::L);
+ for (Vertex<D, CiamarraState<D>>& v : CiamarraSystem::vertices) {
+ v.initialPosition = 4 * v.position + v.state;
+ }
+ }
+
+ double selfIntermediateScattering(const std::vector<Matrix<D>>& ms) const override {
+ double F = 0;
+
+ std::array<Vector<D>, D> ks;
+ for (unsigned i = 0; i < D; i++) {
+ ks[i].setZero();
+ ks[i](i) = 1;
+ }
+ for (const Vertex<D, CiamarraState<D>>& v : CiamarraSystem::vertices) {
+ if (!v.empty()) {
+ Vector<D> Δx = ((4 * CiamarraSystem::orientation.inverse().apply(v.position)) + CiamarraSystem::orientation.inverse().apply(v.state)) - v.initialPosition;
+ for (const Vector<D>& k : ks) {
+ F += cos((M_PI / 4) * k.dot(Δx));
+ }
+ }
+ }
+
+ return F / (D * CiamarraSystem::N);
+ }
};
@@ -123,37 +156,35 @@ int main() {
double z = exp(1 / 0.08);
- while (s.density() < 0.818) {
- s.sweepGrandCanonical(z, r);
- }
-
- if (!s.compatible()) {
- std::cerr << "Net compatible!" << std::endl;
- return 1;
- }
-
- std::cerr << "Found state with appropriate density." << std::endl;
-
- CiamarraSystem<D> s0 = s;
-
std::vector<Matrix<D>> ms = generateTorusMatrices<D>();
- unsigned n = 1;
- for (unsigned i = 0; i < 1e5; i++) {
- if (n < 20 * log(i + 1)) {
- n++;
- std::cout << i << " " << s.overlap(s0) << std::endl;
+ for (double ρ : {0.5, 0.55, 0.6, 0.65, 0.7, 0.75, 0.76, 0.78, 0.8, 0.81, 0.815, 0.818, 0.821, 0.825}) {
+ while (s.density() < ρ) {
+ s.sweepGrandCanonical(z, r);
+ }
+ std::cout << s.density() << " ";
+ s.setInitialPosition();
+ auto start = std::chrono::high_resolution_clock::now();
+ for (unsigned i = 0; i < 1e4; i++) {
+ /*
+ for (unsigned j = 0; j < s.vertices.size(); j++) {
+ s.tryRandomNonlocalMove(r);
+ }
+ */
+ Matrix<D> m = r.pick(ms);
+ Vertex<D, CiamarraState<D>>& v = r.pick(s.vertices);
+ unsigned n = s.wolff(Transformation<D>(L, m, v.position - m * v.position), r);
+ if (i % 1 == 0) {
+ auto stop = std::chrono::high_resolution_clock::now();
+ auto duration = duration_cast<std::chrono::microseconds>(stop - start);
+ std::cout << duration.count() << " " << s.selfIntermediateScattering(ms) << " " << n << " ";
+ }
}
- Matrix<D> m = r.pick(ms);
- Vertex<D, CiamarraState<D>>& v = r.pick(s.vertices);
- unsigned nC = s.flipCluster(Transformation<D>(L, m, v.position - m * v.position), v, r);
- std::cerr << nC << std::endl;
- for (Vertex<D, CiamarraState<D>>& v : s.vertices) {
- v.marked = false;
+ if (!s.compatible()) {
+ std::cerr << "Bad configuration" << std::endl;
+ return 1;
}
-// s.sweepLocal(r);
-// s.sweepSwap(r);
-// s.swendsenWang(Transformation<D>(L, ms, r), r);
+ std::cout << std::endl;
}
return 0;